磁石落下式誘導起電力実験キットの開発と生徒実験

著者

陳 麗, ?? 貢, 山口 光臣, 小原 益己, 三井 好古,

小山 佳一

雑誌名

鹿児島大学理学部紀要

巻

53

ページ

16-24

発行年

2020-12-31

URL

http://hdl.handle.net/10232/00031551

☢▼ⴠୗᘧㄏᑟ㉳㟁ຊᐇ㦂࢟ࢵࢺࡢ㛤Ⓨ࡜⏕ᚐᐇ㦂

Development of Induced Electromotive Force Measuring Device by the

Magnet-fall and Student Experiments with This

㝞㯇_{࣭ℊ㷂㈉}㸯㸧_{࣭ᒣཱྀග⮧}㸰㸧_{࣭ᑠཎ┈ᕫ}_{࣭୕஭ዲྂ}㸯㸧_{࣭ᑠᒣ ె୍}㸰㸧 _

Li CHEN 1)_{, Mitsugi HAMASAKI} 1)_{, Mitsuomi YAMAGUCHI} 2)_{, Masumi OBARA} 3)_{,Yoshifuru MITSUI} 4)_,

Keiichi KOYAMA 4)_,ː

_{㮵ඣᓥ኱Ꮫඹ㏻ᩍ⫱ࢭࣥࢱ࣮}

1)_{Education Center, Kagoshima University}

_{࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍}

2)_{Kagoshima Enterprise Exchange Society}

_{ཎ⏣Ꮫᅬ㮵ඣᓥ᝟ሗ㧗➼Ꮫᰯ}

3)_{Kagoshima JOHO High School, Harada Academy}

_{㮵ඣᓥ኱Ꮫ኱Ꮫ㝔⌮ᕤᏛ◊✲⛉}

4) _{Graduate School of Science and Engineering, Kagoshima University}

* [email protected]

Abstract: The basic learning of electromagnetic induction is to understand the relationship between the magnitude

and direction of the induced electromotive force by changing the magnetic flux, but this cannot be visually grasped as a phenomenon. This is the reason why it is difficult for students to understand the concept of electromagnetic induction. It is required to develop an experimental kit that allows students to understand visually and quantitatively through experiments. In this work, we developed an “induced electromotive force experiment kit” for high school students and taught high school students about electromagnetic induction experiments using this kit. In this report, we outline the experiment kit and our project class of high school/university connection.

Keywords: Electromagnetic induction, Magnetic flux, Lenz’s Law, Number of coil-turns

㸯 ࡣࡌࡵ࡟ 2022 ᖺᗘ࠿ࡽᐇ᪋ࡉࢀࡿḟᮇᏛ⩦ᣦᑟせ㡿ࡣ㸪ࠕ⮬↛ࡢ஦≀࣭⌧㇟ࢆ㸪㉁ⓗ࣭㔞ⓗ࡞㛵ಀࡸ᫬㛫ⓗ࣭ ✵㛫ⓗ࡞㛵ಀࢆ⛉Ꮫⓗ࡞どⅬ࡛ᤊ࠼㸪㸦୰␎㸧᥈✲ࡍࡿ᪉ἲࢆ⏝࠸࡚⪃࠼ࡿࡇ࡜ࠖ࡜୺ᙇࡋ࡚࠸ࡿࠋࡇ ࢀࢆ㋃ࡲ࠼࡚ᨵゞ㧗➼ᏛᰯᏛ⩦ᣦᑟせ㡿⌮⛉ゎㄝ㸦⌮⛉⦅㸧[1]࡟ࡣ㸪㟁☢ㄏᑟ࡟㛵ࡍࡿᐇ㦂࡜ࡋ࡚㸪 ౛࠼ࡤࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࢆኚ໬ࡉࡏࡓ࡜ࡁ࡟Ⓨ⏕ࡍࡿࠕㄏᑟ㉳㟁ຊࡢྥࡁ࡜኱ࡁࡉࠖࢆண᝿ࡉࡏࡓୖ ࡛㸪ࠕ࢜ࢩࣟࢫࢥ࣮ࣉ࡛ㄪ࡭ࡿᐇ㦂ࢆ⾜࠸ࠖ㸪☢᮰ࡢኚ໬࡜ㄏᑟ㉳㟁ຊࡢྥࡁࡸ኱ࡁࡉ࡜ࡢ㛵ಀࢆぢฟ ࡋ࡚⌮ゎࡉࡏࡿ㸪࡜᫂グࡉࢀ࡚࠸ࡿࠋࡇࡢࡼ࠺࡟ࠊ㧗➼Ꮫᰯ⌮⛉㸦≀⌮㸧ᩍ⫱࡟࠾࠸࡚㸪㟁☢ㄏᑟ㸪ㄏ ᑟ㉳㟁ຊࡢศ㔝ࡣ㸪⏕ᚐࡀᐇ㦂ࢆ⾜࠸⌮ゎࡍࡿࡇ࡜ࡀ๓ᥦ࡜ࡉࢀ࡚࠸ࡿࡇ࡜࠿ࡽ㸪኱Ꮫධヨࢭࣥࢱ࣮ ヨ㦂ࢆึࡵ࡜ࡍࡿྛ኱ᏛධᏛヨ㦂࡛ࡶฟ㢟㢖ᗘࡀ㧗࠸ෆᐜ࡛࠶ࡿࠋࡉࡽ࡟㸪2021 ᖺᗘ࠿ࡽࢭࣥࢱ࣮ヨ 㦂࡟ኚࢃࡿ኱Ꮫධヨඹ㏻ࢸࢫࢺ㸦᪂ࢸࢫࢺ㸧࡛ࡶ㸪ᨵゞᏛ⩦ᣦᑟせ㡿࡟ἢࡗ࡚㟁☢ㄏᑟ㸪ㄏᑟ㉳㟁ຊࡢ ᐇ㦂ࢆྲྀࡾධࢀࡓฟ㢟ࡀண᝿ࡉࢀ࡚࠸ࡿࠋ 㮵ඣᓥ኱Ꮫ⌮Ꮫ㒊ࡣ㸪ᖹᡂ28 ᖺᗘ࠿ࡽࠕ࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍ࠖ࡜ࡢඹദ࡛ࢧ࢖࢚ࣥࢫ࣭ࣃ࣮ࢺ ࢼ࣮ࢩࢵࣉ࣭ࣉࣟࢢ࣒ࣛ㸦SPP㸧ࢆᐇ᪋ࡋ㸪㧗➼Ꮫᰯࡢ⏕ᚐࢆᑐ㇟࡟᪂ࡋ࠸⌮⛉ᩍ⫱࡟ᑐᛂࡍࡿᐇ㊶ⓗ ࡞ྲྀࡾ⤌ࡳࢆ⾜ࡗ࡚࠸ࡿࠋ➹⪅ࡽࡣSPP ࡢ୍⎔࡜ࡋ࡚㸪⏕ᚐࡀࢥ࢖ࣝ࡟⏕ࡌࡿ㉳㟁ຊࡢ኱ࡁࡉࢆ☢▼ ࡀࢥ࢖ࣝࢆ㈏㏻ࡍࡿ㏿ࡉ࡜ࢥ࢖ࣝࡢᕳࡁᩘ࡜ࡢ㛵ಀ࡜ࡋ࡚ㄪ࡭ࠊㄏᑟ㉳㟁ຊࡢ⌧㇟ࢆ࢜ࢩࣟࢫࢥ࣮ࣉ ࢆ⏝࠸࡚どぬⓗ࡛࠿ࡘᐃ㔞ⓗ࡟⌮ゎ࡛ࡁࡿᐇ㦂࢟ࢵࢺࢆ㛤Ⓨࡋࡓࠋ

☢▼ⴠୗᘧㄏᑟ㉳㟁ຊᐇ㦂࢟ࢵࢺࡢ㛤Ⓨ࡜⏕ᚐᐇ㦂

Development of Induced Electromotive Force Measuring Device by the

Magnet-fall and Student Experiments with This

㝞㯇_{࣭ℊ㷂㈉}㸯㸧_{࣭ᒣཱྀග⮧}㸰㸧_{࣭ᑠཎ┈ᕫ}_{࣭୕஭ዲྂ}㸧_{࣭ᑠᒣ ె୍}㸧 _

Li CHEN 1)_{, Mitsugi HAMASAKI} 1)_{, Mitsuomi YAMAGUCHI} 2)_{, Masumi OBARA} 3)_{,Yoshifuru MITSUI} 4)_,

Keiichi KOYAMA 4)_,ː

_{㮵ඣᓥ኱Ꮫඹ㏻ᩍ⫱ࢭࣥࢱ࣮}

1)_{Education Center, Kagoshima University}

_{࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍}

2)_{Kagoshima Enterprise Exchange Society}

_{ཎ⏣Ꮫᅬ㮵ඣᓥ᝟ሗ㧗➼Ꮫᰯ}

3)_{Kagoshima JOHO High School, Harada Academy}

_{㮵ඣᓥ኱Ꮫ኱Ꮫ㝔⌮ᕤᏛ◊✲⛉}

4) _{Graduate School of Science and Engineering, Kagoshima University}

* [email protected]

Abstract: The basic learning of electromagnetic induction is to understand the relationship between the magnitude

and direction of the induced electromotive force by changing the magnetic flux, but this cannot be visually grasped as a phenomenon. This is the reason why it is difficult for students to understand the concept of electromagnetic induction. It is required to develop an experimental kit that allows students to understand visually and quantitatively through experiments. In this work, we developed an “induced electromotive force experiment kit” for high school students and taught high school students about electromagnetic induction experiments using this kit. In this report, we outline the experiment kit and our project class of high school/university connection.

Keywords: Electromagnetic induction, Magnetic flux, Lenz’s Law, Number of coil-turns

㸯 ࡣࡌࡵ࡟ 2022 ᖺᗘ࠿ࡽᐇ᪋ࡉࢀࡿḟᮇᏛ⩦ᣦᑟせ㡿ࡣ㸪ࠕ⮬↛ࡢ஦≀࣭⌧㇟ࢆ㸪㉁ⓗ࣭㔞ⓗ࡞㛵ಀࡸ᫬㛫ⓗ࣭ ✵㛫ⓗ࡞㛵ಀࢆ⛉Ꮫⓗ࡞どⅬ࡛ᤊ࠼㸪㸦୰␎㸧᥈✲ࡍࡿ᪉ἲࢆ⏝࠸࡚⪃࠼ࡿࡇ࡜ࠖ࡜୺ᙇࡋ࡚࠸ࡿࠋࡇ ࢀࢆ㋃ࡲ࠼࡚ᨵゞ㧗➼ᏛᰯᏛ⩦ᣦᑟせ㡿⌮⛉ゎㄝ㸦⌮⛉⦅㸧[1]࡟ࡣ㸪㟁☢ㄏᑟ࡟㛵ࡍࡿᐇ㦂࡜ࡋ࡚㸪 ౛࠼ࡤࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࢆኚ໬ࡉࡏࡓ࡜ࡁ࡟Ⓨ⏕ࡍࡿࠕㄏᑟ㉳㟁ຊࡢྥࡁ࡜኱ࡁࡉࠖࢆண᝿ࡉࡏࡓୖ ࡛㸪ࠕ࢜ࢩࣟࢫࢥ࣮ࣉ࡛ㄪ࡭ࡿᐇ㦂ࢆ⾜࠸ࠖ㸪☢᮰ࡢኚ໬࡜ㄏᑟ㉳㟁ຊࡢྥࡁࡸ኱ࡁࡉ࡜ࡢ㛵ಀࢆぢฟ ࡋ࡚⌮ゎࡉࡏࡿ㸪࡜᫂グࡉࢀ࡚࠸ࡿࠋࡇࡢࡼ࠺࡟㸪㧗➼Ꮫᰯ⌮⛉㸦≀⌮㸧ᩍ⫱࡟࠾࠸࡚㸪㟁☢ㄏᑟ㸪ㄏ ᑟ㉳㟁ຊࡢศ㔝ࡣ㸪⏕ᚐࡀᐇ㦂ࢆ⾜࠸⌮ゎࡍࡿࡇ࡜ࡀ๓ᥦ࡜ࡉࢀ࡚࠸ࡿࡇ࡜࠿ࡽ㸪኱Ꮫධヨࢭࣥࢱ࣮ ヨ㦂ࢆึࡵ࡜ࡍࡿྛ኱ᏛධᏛヨ㦂࡛ࡶฟ㢟㢖ᗘࡀ㧗࠸ෆᐜ࡛࠶ࡿࠋࡉࡽ࡟㸪2021 ᖺᗘ࠿ࡽࢭࣥࢱ࣮ヨ 㦂࡟ኚࢃࡿ኱Ꮫධヨඹ㏻ࢸࢫࢺ㸦᪂ࢸࢫࢺ㸧࡛ࡶ㸪ᨵゞᏛ⩦ᣦᑟせ㡿࡟ἢࡗ࡚㟁☢ㄏᑟ㸪ㄏᑟ㉳㟁ຊࡢ ᐇ㦂ࢆྲྀࡾධࢀࡓฟ㢟ࡀண᝿ࡉࢀ࡚࠸ࡿࠋ 㮵ඣᓥ኱Ꮫ⌮Ꮫ㒊ࡣ㸪ᖹᡂ28 ᖺᗘ࠿ࡽࠕ࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍ࠖ࡜ࡢඹദ࡛ࢧ࢖࢚ࣥࢫ࣭ࣃ࣮ࢺ ࢼ࣮ࢩࢵࣉ࣭ࣉࣟࢢ࣒ࣛ㸦SPP㸧ࢆᐇ᪋ࡋ㸪㧗➼Ꮫᰯࡢ⏕ᚐࢆᑐ㇟࡟᪂ࡋ࠸⌮⛉ᩍ⫱࡟ᑐᛂࡍࡿᐇ㊶ⓗ ࡞ྲྀࡾ⤌ࡳࢆ⾜ࡗ࡚࠸ࡿࠋ➹⪅ࡽࡣSPP ࡢ୍⎔࡜ࡋ࡚㸪⏕ᚐࡀࢥ࢖ࣝ࡟⏕ࡌࡿ㉳㟁ຊࡢ኱ࡁࡉࢆ☢▼ ࡀࢥ࢖ࣝࢆ㈏㏻ࡍࡿ㏿ࡉ࡜ࢥ࢖ࣝࡢᕳࡁᩘ࡜ࡢ㛵ಀ࡜ࡋ࡚ㄪ࡭㸪ㄏᑟ㉳㟁ຊࡢ⌧㇟ࢆ࢜ࢩࣟࢫࢥ࣮ࣉ ࢆ⏝࠸࡚どぬⓗ࡛࠿ࡘᐃ㔞ⓗ࡟⌮ゎ࡛ࡁࡿᐇ㦂࢟ࢵࢺࢆ㛤Ⓨࡋࡓࠋ

☢▼ⴠୗᘧㄏᑟ㉳㟁ຊᐇ㦂࢟ࢵࢺࡢ㛤Ⓨ࡜⏕ᚐᐇ㦂

Development of Induced Electromotive Force Measuring Device by the

Magnet-fall and Student Experiments with This

㝞㯇_{࣭ℊ㷂㈉}㸯㸧_{࣭ᒣཱྀග⮧}㸰㸧_{࣭ᑠཎ┈ᕫ}_{࣭୕஭ዲྂ}㸯㸧_{࣭ᑠᒣ ె୍}㸰㸧 _

Li CHEN 1)_{, Mitsugi HAMASAKI} 1)_{, Mitsuomi YAMAGUCHI} 2)_{, Masumi OBARA} 3)_{,Yoshifuru MITSUI} 4)_,

Keiichi KOYAMA 4)_,ː

_{㮵ඣᓥ኱Ꮫඹ㏻ᩍ⫱ࢭࣥࢱ࣮}

1)_{Education Center, Kagoshima University}

_{࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍}

2)_{Kagoshima Enterprise Exchange Society}

_{ཎ⏣Ꮫᅬ㮵ඣᓥ᝟ሗ㧗➼Ꮫᰯ}

3)_{Kagoshima JOHO High School, Harada Academy}

_{㮵ඣᓥ኱Ꮫ኱Ꮫ㝔⌮ᕤᏛ◊✲⛉}

4) _{Graduate School of Science and Engineering, Kagoshima University}

* [email protected]

Abstract: The basic learning of electromagnetic induction is to understand the relationship between the magnitude

and direction of the induced electromotive force by changing the magnetic flux, but this cannot be visually grasped as a phenomenon. This is the reason why it is difficult for students to understand the concept of electromagnetic induction. It is required to develop an experimental kit that allows students to understand visually and quantitatively through experiments. In this work, we developed an “induced electromotive force experiment kit” for high school students and taught high school students about electromagnetic induction experiments using this kit. In this report, we outline the experiment kit and our project class of high school/university connection.

Keywords: Electromagnetic induction, Magnetic flux, Lenz’s Law, Number of coil-turns

㸯 ࡣࡌࡵ࡟ 2022 ᖺᗘ࠿ࡽᐇ᪋ࡉࢀࡿḟᮇᏛ⩦ᣦᑟせ㡿ࡣ㸪ࠕ⮬↛ࡢ஦≀࣭⌧㇟ࢆ㸪㉁ⓗ࣭㔞ⓗ࡞㛵ಀࡸ᫬㛫ⓗ࣭ ✵㛫ⓗ࡞㛵ಀࢆ⛉Ꮫⓗ࡞どⅬ࡛ᤊ࠼㸪㸦୰␎㸧᥈✲ࡍࡿ᪉ἲࢆ⏝࠸࡚⪃࠼ࡿࡇ࡜ࠖ࡜୺ᙇࡋ࡚࠸ࡿࠋࡇ ࢀࢆ㋃ࡲ࠼࡚ᨵゞ㧗➼ᏛᰯᏛ⩦ᣦᑟせ㡿⌮⛉ゎㄝ㸦⌮⛉⦅㸧[1]࡟ࡣ㸪㟁☢ㄏᑟ࡟㛵ࡍࡿᐇ㦂࡜ࡋ࡚㸪 ౛࠼ࡤࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࢆኚ໬ࡉࡏࡓ࡜ࡁ࡟Ⓨ⏕ࡍࡿࠕㄏᑟ㉳㟁ຊࡢྥࡁ࡜኱ࡁࡉࠖࢆண᝿ࡉࡏࡓୖ ࡛㸪ࠕ࢜ࢩࣟࢫࢥ࣮ࣉ࡛ㄪ࡭ࡿᐇ㦂ࢆ⾜࠸ࠖ㸪☢᮰ࡢኚ໬࡜ㄏᑟ㉳㟁ຊࡢྥࡁࡸ኱ࡁࡉ࡜ࡢ㛵ಀࢆぢฟ ࡋ࡚⌮ゎࡉࡏࡿ㸪࡜᫂グࡉࢀ࡚࠸ࡿࠋࡇࡢࡼ࠺࡟ࠊ㧗➼Ꮫᰯ⌮⛉㸦≀⌮㸧ᩍ⫱࡟࠾࠸࡚㸪㟁☢ㄏᑟ㸪ㄏ ᑟ㉳㟁ຊࡢศ㔝ࡣ㸪⏕ᚐࡀᐇ㦂ࢆ⾜࠸⌮ゎࡍࡿࡇ࡜ࡀ๓ᥦ࡜ࡉࢀ࡚࠸ࡿࡇ࡜࠿ࡽ㸪኱Ꮫධヨࢭࣥࢱ࣮ ヨ㦂ࢆึࡵ࡜ࡍࡿྛ኱ᏛධᏛヨ㦂࡛ࡶฟ㢟㢖ᗘࡀ㧗࠸ෆᐜ࡛࠶ࡿࠋࡉࡽ࡟㸪2021 ᖺᗘ࠿ࡽࢭࣥࢱ࣮ヨ 㦂࡟ኚࢃࡿ኱Ꮫධヨඹ㏻ࢸࢫࢺ㸦᪂ࢸࢫࢺ㸧࡛ࡶ㸪ᨵゞᏛ⩦ᣦᑟせ㡿࡟ἢࡗ࡚㟁☢ㄏᑟ㸪ㄏᑟ㉳㟁ຊࡢ ᐇ㦂ࢆྲྀࡾධࢀࡓฟ㢟ࡀண᝿ࡉࢀ࡚࠸ࡿࠋ 㮵ඣᓥ኱Ꮫ⌮Ꮫ㒊ࡣ㸪ᖹᡂ28 ᖺᗘ࠿ࡽࠕ࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍ࠖ࡜ࡢඹദ࡛ࢧ࢖࢚ࣥࢫ࣭ࣃ࣮ࢺ ࢼ࣮ࢩࢵࣉ࣭ࣉࣟࢢ࣒ࣛ㸦SPP㸧ࢆᐇ᪋ࡋ㸪㧗➼Ꮫᰯࡢ⏕ᚐࢆᑐ㇟࡟᪂ࡋ࠸⌮⛉ᩍ⫱࡟ᑐᛂࡍࡿᐇ㊶ⓗ ࡞ྲྀࡾ⤌ࡳࢆ⾜ࡗ࡚࠸ࡿࠋ➹⪅ࡽࡣSPP ࡢ୍⎔࡜ࡋ࡚㸪⏕ᚐࡀࢥ࢖ࣝ࡟⏕ࡌࡿ㉳㟁ຊࡢ኱ࡁࡉࢆ☢▼ ࡀࢥ࢖ࣝࢆ㈏㏻ࡍࡿ㏿ࡉ࡜ࢥ࢖ࣝࡢᕳࡁᩘ࡜ࡢ㛵ಀ࡜ࡋ࡚ㄪ࡭ࠊㄏᑟ㉳㟁ຊࡢ⌧㇟ࢆ࢜ࢩࣟࢫࢥ࣮ࣉ ࢆ⏝࠸࡚どぬⓗ࡛࠿ࡘᐃ㔞ⓗ࡟⌮ゎ࡛ࡁࡿᐇ㦂࢟ࢵࢺࢆ㛤Ⓨࡋࡓࠋ ᮏ✏ࡣ㸪ᡃࠎࡀ㛤Ⓨࡋࡓᐇ㦂࢟ࢵࢺࡢᴫせࢆ㏙࡭ࡿ࡜࡜ࡶ࡟㸪ࡇࡢᐇ㦂࢟ࢵࢺࢆ௧࿴ඖᖺᗘࡢSPP ࡟ྲྀࡾධࢀࡓ㧗➼Ꮫᰯࡢ⏕ᚐࡢᐇ㦂࡟ࡘ࠸࡚ࡲ࡜ࡵࡓࡶࡢ࡛࠶ࡿࠋ 㸰࢟ࢵࢺࡢᴫせ 㟁☢ㄏᑟࡢᐇ㦂࢟ࢵࢺࡣࡍ࡛࡟ᕷ㈍ࡉࢀ࡚࠸ࡿ[2, 3]ࠋࡋ࠿ࡋከࡃࡢᐇ㦂࢟ࢵࢺࡣ㸪ࢥ࢖ࣝ㸪☢▼㸪 ࣃ࢖ࣉ࡞࡝ࡀ୍యⓗ࡟ᵓᡂࡉࢀࡎ㟁☢ㄏᑟ࡜ㄏᑟ㉳㟁ຊࢆ㸪_{LED ࡢⓎගࢆ⏝࠸ࡓ☜ㄆࡍࡿࡶࡢ࡟㐣ࡂ} ࡎ㸪ᩍᖌ࡟ࡼࡿᐃᛶⓗ࡞₇♧ᐇ㦂࡟␃ࡲࡗ࡚࠸ࡿࠋ㧗➼Ꮫᰯࡢ≀⌮ᩍᮦ࡜ࡋ࡚㸪㟁☢ㄏᑟࡢ⌧㇟ࢆ⏕ᚐ ࡀ⮬ࡽ࢜ࢩࣟࢫࢥ࣮ࣉࢆ⏝࠸࡚どぬⓗ࡛࠿ࡘᐃ㔞ⓗ࡟ ᐃࡍࡿᏳ౯࡞ᕷ㈍ࡢᐇ㦂࢟ࢵࢺࡣぢᙜࡓࡽ࡞ ࠸ࠋ ࢟ࢵࢺࡢ୺࡞ᵓᡂࡣ㸪㏱᫂࢔ࢡࣜࣝࣃ࢖ࣉ㸦ࢫࢣ࣮ࣝ┠┒ࡾ௜㸧㸪ࢥ࢖ࣝ㸦50 ᅇᕳ㸪10 ᅇᕳࡈ࡜ࡢࢱ ࢵࣉ㟁ᴟ௜㸧㸪ࢿ࢜ࢪ࣒☢▼㸪ࢹࢪࢱࣝ࢜ࢩࣟࢫࢥ࣮ࣉ㸦ࢺ࣮ࣜ࢞௜㸧㸪࢔ࢡࣜࣝࣃ࢖ࣉᅛᐃྎ㸪ᨭᣢ ྎ㸪㍯ࢦ࣒➼࡛࠶ࡿࠋᅗ㸯ࡣᐇ㦂࢟ࢵࢺࡢᴫᛕᅗ࡛࠶ࡾ㸪ᅗ㸰ࡣヨసࡋࡓᐇ㦂࢟ࢵࢺ࡛࠶ࡿࠋ ᅗ 3 ࡟ᮏ࢟ࢵࢺ࡛ࢿ࢜ࢪ࣒☢▼ࢆⴠୗࡉࡏࡓ࡜ࡁࡢ࢜ࢩࣟࢫࢥ࣮ࣉ᳨࡛ฟࡋࡓἼᙧࢆ♧ࡍࠋࢥ࢖ࣝ ☢▼ࡢⴠୗࡢጞⅬ hn 㸹ࢥ࢖ࣝࡢ఩⨨ hn (m)㸹☢▼ࡢⴠୗ㊥㞳 ⣒   ࢜ࢩࣟ ࢫࢥ࣮ࣉ  ᨭᣢྎ ࢔ ࢡ ࣜ ࣝ ࣃ ࢖ ࣉ ㍯ ࢦ ࣒ h1 h2 h4 ࢿ࢜ࢪ࣒☢▼ ᅗ㸰 ヨసࡋࡓᐇ㦂࢟ࢵࢺ ࢥ࢖ࣝ࡟࢜ࢩࣟࢫࢥ࣮ࣉࢆ᥋⥆ ᅗ㸯 ᐇ㦂࢟ࢵࢺࡢᴫᛕᅗ



ᅗ ࢜ࢩࣟࢫࢥ࣮ࣉ࡟ࡼࡿ㉳㟁ຊࡢἼᙧ

☢▼ⴠୗᘧㄏᑟ㉳㟁ຊᐇ㦂࢟ࢵࢺࡢ㛤Ⓨ࡜⏕ᚐᐇ㦂

Development of Induced Electromotive Force Measuring Device by the

Magnet-fall and Student Experiments with This

㝞㯇_{࣭ℊ㷂㈉}㸯㸧_{࣭ᒣཱྀග⮧}㸰㸧_{࣭ᑠཎ┈ᕫ}_{࣭୕஭ዲྂ}㸯㸧_{࣭ᑠᒣ ె୍}㸰㸧 _

Li CHEN 1)_{, Mitsugi HAMASAKI} 1)_{, Mitsuomi YAMAGUCHI} 2)_{, Masumi OBARA} 3)_{,Yoshifuru MITSUI} 4)_,

Keiichi KOYAMA 4)_,ː

_{㮵ඣᓥ኱Ꮫඹ㏻ᩍ⫱ࢭࣥࢱ࣮}

1)_{Education Center, Kagoshima University}

_{࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍}

2)_{Kagoshima Enterprise Exchange Society}

_{ཎ⏣Ꮫᅬ㮵ඣᓥ᝟ሗ㧗➼Ꮫᰯ}

3)_{Kagoshima JOHO High School, Harada Academy}

_{㮵ඣᓥ኱Ꮫ኱Ꮫ㝔⌮ᕤᏛ◊✲⛉}

4) _{Graduate School of Science and Engineering, Kagoshima University}

* [email protected]

Abstract: The basic learning of electromagnetic induction is to understand the relationship between the magnitude

and direction of the induced electromotive force by changing the magnetic flux, but this cannot be visually grasped as a phenomenon. This is the reason why it is difficult for students to understand the concept of electromagnetic induction. It is required to develop an experimental kit that allows students to understand visually and quantitatively through experiments. In this work, we developed an “induced electromotive force experiment kit” for high school students and taught high school students about electromagnetic induction experiments using this kit. In this report, we outline the experiment kit and our project class of high school/university connection.

Keywords: Electromagnetic induction, Magnetic flux, Lenz’s Law, Number of coil-turns

㸯 ࡣࡌࡵ࡟ 2022 ᖺᗘ࠿ࡽᐇ᪋ࡉࢀࡿḟᮇᏛ⩦ᣦᑟせ㡿ࡣ㸪ࠕ⮬↛ࡢ஦≀࣭⌧㇟ࢆ㸪㉁ⓗ࣭㔞ⓗ࡞㛵ಀࡸ᫬㛫ⓗ࣭ ✵㛫ⓗ࡞㛵ಀࢆ⛉Ꮫⓗ࡞どⅬ࡛ᤊ࠼㸪㸦୰␎㸧᥈✲ࡍࡿ᪉ἲࢆ⏝࠸࡚⪃࠼ࡿࡇ࡜ࠖ࡜୺ᙇࡋ࡚࠸ࡿࠋࡇ ࢀࢆ㋃ࡲ࠼࡚ᨵゞ㧗➼ᏛᰯᏛ⩦ᣦᑟせ㡿⌮⛉ゎㄝ㸦⌮⛉⦅㸧[1]࡟ࡣ㸪㟁☢ㄏᑟ࡟㛵ࡍࡿᐇ㦂࡜ࡋ࡚㸪 ౛࠼ࡤࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࢆኚ໬ࡉࡏࡓ࡜ࡁ࡟Ⓨ⏕ࡍࡿࠕㄏᑟ㉳㟁ຊࡢྥࡁ࡜኱ࡁࡉࠖࢆண᝿ࡉࡏࡓୖ ࡛㸪ࠕ࢜ࢩࣟࢫࢥ࣮ࣉ࡛ㄪ࡭ࡿᐇ㦂ࢆ⾜࠸ࠖ㸪☢᮰ࡢኚ໬࡜ㄏᑟ㉳㟁ຊࡢྥࡁࡸ኱ࡁࡉ࡜ࡢ㛵ಀࢆぢฟ ࡋ࡚⌮ゎࡉࡏࡿ㸪࡜᫂グࡉࢀ࡚࠸ࡿࠋࡇࡢࡼ࠺࡟ࠊ㧗➼Ꮫᰯ⌮⛉㸦≀⌮㸧ᩍ⫱࡟࠾࠸࡚㸪㟁☢ㄏᑟ㸪ㄏ ᑟ㉳㟁ຊࡢศ㔝ࡣ㸪⏕ᚐࡀᐇ㦂ࢆ⾜࠸⌮ゎࡍࡿࡇ࡜ࡀ๓ᥦ࡜ࡉࢀ࡚࠸ࡿࡇ࡜࠿ࡽ㸪኱Ꮫධヨࢭࣥࢱ࣮ ヨ㦂ࢆึࡵ࡜ࡍࡿྛ኱ᏛධᏛヨ㦂࡛ࡶฟ㢟㢖ᗘࡀ㧗࠸ෆᐜ࡛࠶ࡿࠋࡉࡽ࡟㸪2021 ᖺᗘ࠿ࡽࢭࣥࢱ࣮ヨ 㦂࡟ኚࢃࡿ኱Ꮫධヨඹ㏻ࢸࢫࢺ㸦᪂ࢸࢫࢺ㸧࡛ࡶ㸪ᨵゞᏛ⩦ᣦᑟせ㡿࡟ἢࡗ࡚㟁☢ㄏᑟ㸪ㄏᑟ㉳㟁ຊࡢ ᐇ㦂ࢆྲྀࡾධࢀࡓฟ㢟ࡀண᝿ࡉࢀ࡚࠸ࡿࠋ 㮵ඣᓥ኱Ꮫ⌮Ꮫ㒊ࡣ㸪ᖹᡂ28 ᖺᗘ࠿ࡽࠕ࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍ࠖ࡜ࡢඹദ࡛ࢧ࢖࢚ࣥࢫ࣭ࣃ࣮ࢺ ࢼ࣮ࢩࢵࣉ࣭ࣉࣟࢢ࣒ࣛ㸦SPP㸧ࢆᐇ᪋ࡋ㸪㧗➼Ꮫᰯࡢ⏕ᚐࢆᑐ㇟࡟᪂ࡋ࠸⌮⛉ᩍ⫱࡟ᑐᛂࡍࡿᐇ㊶ⓗ ࡞ྲྀࡾ⤌ࡳࢆ⾜ࡗ࡚࠸ࡿࠋ➹⪅ࡽࡣSPP ࡢ୍⎔࡜ࡋ࡚㸪⏕ᚐࡀࢥ࢖ࣝ࡟⏕ࡌࡿ㉳㟁ຊࡢ኱ࡁࡉࢆ☢▼ ࡀࢥ࢖ࣝࢆ㈏㏻ࡍࡿ㏿ࡉ࡜ࢥ࢖ࣝࡢᕳࡁᩘ࡜ࡢ㛵ಀ࡜ࡋ࡚ㄪ࡭ࠊㄏᑟ㉳㟁ຊࡢ⌧㇟ࢆ࢜ࢩࣟࢫࢥ࣮ࣉ ࢆ⏝࠸࡚どぬⓗ࡛࠿ࡘᐃ㔞ⓗ࡟⌮ゎ࡛ࡁࡿᐇ㦂࢟ࢵࢺࢆ㛤Ⓨࡋࡓࠋ ࡢࢱ࣮ࣥᩘN ࡣ 10 ᅇᕳࡁ㸪㧗ࡉ h = 20 cm ࠿ࡽࢿ࢜ࢪ࣒☢▼ࢆⴠୗࡉࡏࡓࠋࡲࡓ㸪ྑࡢἼᙧࡣ㸪☢▼ ࡢᴟᛶࢆኚ࠼ࡓࡶࡢ࡛࠶ࡿࠋ㏆ᖺࡢࢹࢪࢱࣝ࢜ࢩࣟࢫࢥ࣮ࣉࡣᩘ༓෇࡜Ᏻ౯࡟ࡶ㛵ࢃࡽࡎ㸪㟁ᅽ್ࡸ Ἴᙧࡢࣆ࣮ࢡ㛫㟁ᅽࡶ⾲♧ࡍࡿࡢ࡛㸪⏕ᚐࡢ┠┒ࡾࢆㄞࡴࡇ࡜࡟ࡼࡿ᫬㛫ࡢ๐ῶ࡜ㄞࡳ㛫㐪࠸ࢆ㜵ࡆ ࡿࠋ 㸰㸯࢟ࢵࢺࡢᩍᮦ࡜ࡋ࡚ࡢᡂᯝ ᮏᐇ㦂࢟ࢵࢺࢆ⏝࠸ࡿࡇ࡜࡟ࡼࡗ࡚⏕ᚐࡣ㸪ḟࡢ㡯┠࡟ࡘ࠸࡚⌮ゎࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋ (a) 㟁☢ㄏᑟࡣࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࡀ᫬㛫ⓗ࡟ኚ໬ࡍࡿࡇ࡜࡟ࡼࡗ࡚㉳ࡇࡿࠋ (b) ࢥ࢖ࣝࢆ㈏ࡃእ㒊࠿ࡽࡢ☢᮰ࡀ᫬㛫ⓗ࡟ኚ໬ࡍࡿ࡜ࡁ㸪ࢥ࢖ࣝ࡟ࡣࡑࡢኚ໬ࢆጉࡆࡿྥࡁ࡟ ㄏᑟ㉳㟁ຊࡀ⏕ࡌࡿࠋ (c) ㄏᑟ㉳㟁ຊࡢ኱ࡁࡉࡣࢥ࢖ࣝࡢᕳࡁᩘ࡟ࡶ౫Ꮡࡍࡿࠋ  (a)㸪(b)㸪(c)ࢆ⌮ゎࡍࡿࡓࡵ࡟㸪☢᮰ࡢⓎ⏕※࡜ࡋ࡚ࢿ࢜ࢪ࣒☢▼ࢆ⏝࠸ࡓࠋࡲࡓ㸪ࢥ࢖ࣝࡢࢱࢵ ࣉࢆ㑅ᢥࡋ࡚ࢥ࢖ࣝࡢᕳࡁᩘࢆᐜ᫆࡟ኚ࠼ࡽࢀࡿࡼ࠺࡟ࡋࡓࠋࡉࡽ࡟㸪ࢥ࢖ࣝࡢ୰ᚰࢆ㏻㐣ࡍࡿࢿ ࢜ࢪ࣒☢▼ࡢ㏿ࡉࢆẁ㝵ⓗ࡟ኚ໬࡛ࡁࡿࡼ࠺࡟㸪௵ពࡢ㧗ࡉ࡟ࢥ࢖ࣝࢆタᐃ࡛ࡁࡿࡼ࠺࡟ࡋࡓࠋ ㄏᑟ㉳㟁ຊࡢ኱ࡁࡉ࡜ྥࡁࢆどぬⓗ࠿ࡘᐃ㔞ⓗ࡟⌮ゎࡍࡿࡓࡵ࡟㸪ᑠᆺࢹࢪࢱࣝ࢜ࢩࣟࢫࢥ࣮ࣉ ࢆ⤌ࡳ㎸ࢇࡔࠋ 㸱⏕ᚐᐇ㦂 ࡇࡇ࡛ࡣ㸪ᙜ᪥ࡢ⏕ᚐᐇ㦂ࡢᣦᑟ᭩ࢆࡶ࡜࡟㸪ᡃࠎࡀ㛤Ⓨࡋࡓᐇ㦂࢟ࢵࢺࡢ฼⏝ࡢ௙᪉࡜ᐇ㦂⤖ᯝࢆ ⤂௓ࡍࡿࠋ 㸱㸯ᐇ㦂ࡢ┠ⓗ ࢥ࢖ࣝ࡟⏕ࡌࡿ㉳㟁ຊ࡜☢▼ࡢ㏿ࡉࡸࢥ࢖ࣝࡢᕳࡁᩘ࡜ࡢ㛵ಀࢆᐇ㦂࢟ࢵࢺ࡛ㄪ࡭㸪ㄏᑟ㉳㟁ຊࡢ ⌧㇟ࢆ⌮ゎࡍࡿࠋ 㸱㸰ᐇ㦂ࡢཎ⌮>@  ᅗD ࡢࡼ࠺࡟1ᴟࢆࢥ࢖ࣝ࡟㏆࡙ࡅࡿ࡜㸪ࢥ࢖ ࣝࢆᕥྥࡁ࡟㈏ࡃ☢᮰ࡀቑຍࡍࡿࠋࡇࡢ࡜ࡁࢥ࢖ࣝ ࡟ࡣ㸪ᕥྥࡁࡢ☢᮰ࡢቑຍࢆጉࡆࡿࡓࡵ࡟㸪ㄏᑟ㟁 ὶ࡟ࡼࡗ࡚ྑྥࡁࡢ☢᮰ࡀ⏕ࡌࡿࠋࡲࡓ㸪ᅗE ࡢ ࡼ࠺࡟1ᴟࢆࢥ࢖ࣝ࠿ࡽ㐲ࡊࡅࡿ࡜㸪ࢥ࢖ࣝࢆᕥྥ ࡁ࡟㈏ࡃ☢᮰ࡀῶᑡࡍࡿࠋࡇࡢ࡜ࡁࢥ࢖ࣝ࡟ࡣ㸪ᕥ ྥࡁࡢ☢᮰ࡢῶᑡࢆጉࡆࡿࡓࡵ࡟㸪ㄏᑟ㟁ὶ࡟ࡼࡗ ࡚ᕥྥࡁࡢ☢᮰ࡀ⏕ࡌࡿࠋࡇࡢࡼ࠺࡟㸪ࢥ࢖ࣝࢆ㈏ ࡃእ㒊࠿ࡽࡢ☢᮰ࡀኚ໬ࡍࡿ࡜ࡁ㸪ࢥ࢖ࣝ࡟ࡣࡑࡢ ኚ໬ࢆጉࡆࡿྥࡁ࡟ㄏᑟ㉳㟁ຊࡀ⏕ࡌࡿࠋ ࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࢆ_ߔ࡜ࡋ࡚⾲ࡏࡤ㸪☢▼ࡢ㐠ື ࡟ࡼࡗ࡚_݀ݐ㛫࡟☢᮰ࡀ݀ߔኚ໬ࡋࡓሙྜࢥ࢖ࣝ࡟ ⏕ࡌࡿㄏᑟ㉳㟁ຊࡣ㸪 ܸ ൌ െ݀ߔ_݀ݐሺͳሻ  ਦ  ుࣕ༢಍͹ݬཀྵ

☢▼ⴠୗᘧㄏᑟ㉳㟁ຊᐇ㦂࢟ࢵࢺࡢ㛤Ⓨ࡜⏕ᚐᐇ㦂

Development of Induced Electromotive Force Measuring Device by the

Magnet-fall and Student Experiments with This

㝞㯇_{࣭ℊ㷂㈉}㸯㸧_{࣭ᒣཱྀග⮧}㸰㸧_{࣭ᑠཎ┈ᕫ}_{࣭୕஭ዲྂ}㸯㸧_{࣭ᑠᒣ ె୍}㸰㸧 _

Li CHEN 1)_{, Mitsugi HAMASAKI} 1)_{, Mitsuomi YAMAGUCHI} 2)_{, Masumi OBARA} 3)_{,Yoshifuru MITSUI} 4)_,

Keiichi KOYAMA 4)_,ː

_{㮵ඣᓥ኱Ꮫඹ㏻ᩍ⫱ࢭࣥࢱ࣮}

1)_{Education Center, Kagoshima University}

_{࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍}

2)_{Kagoshima Enterprise Exchange Society}

_{ཎ⏣Ꮫᅬ㮵ඣᓥ᝟ሗ㧗➼Ꮫᰯ}

3)_{Kagoshima JOHO High School, Harada Academy}

_{㮵ඣᓥ኱Ꮫ኱Ꮫ㝔⌮ᕤᏛ◊✲⛉}

4) _{Graduate School of Science and Engineering, Kagoshima University}

* [email protected]

Abstract: The basic learning of electromagnetic induction is to understand the relationship between the magnitude

and direction of the induced electromotive force by changing the magnetic flux, but this cannot be visually grasped as a phenomenon. This is the reason why it is difficult for students to understand the concept of electromagnetic induction. It is required to develop an experimental kit that allows students to understand visually and quantitatively through experiments. In this work, we developed an “induced electromotive force experiment kit” for high school students and taught high school students about electromagnetic induction experiments using this kit. In this report, we outline the experiment kit and our project class of high school/university connection.

Keywords: Electromagnetic induction, Magnetic flux, Lenz’s Law, Number of coil-turns

㸯 ࡣࡌࡵ࡟ 2022 ᖺᗘ࠿ࡽᐇ᪋ࡉࢀࡿḟᮇᏛ⩦ᣦᑟせ㡿ࡣ㸪ࠕ⮬↛ࡢ஦≀࣭⌧㇟ࢆ㸪㉁ⓗ࣭㔞ⓗ࡞㛵ಀࡸ᫬㛫ⓗ࣭ ✵㛫ⓗ࡞㛵ಀࢆ⛉Ꮫⓗ࡞どⅬ࡛ᤊ࠼㸪㸦୰␎㸧᥈✲ࡍࡿ᪉ἲࢆ⏝࠸࡚⪃࠼ࡿࡇ࡜ࠖ࡜୺ᙇࡋ࡚࠸ࡿࠋࡇ ࢀࢆ㋃ࡲ࠼࡚ᨵゞ㧗➼ᏛᰯᏛ⩦ᣦᑟせ㡿⌮⛉ゎㄝ㸦⌮⛉⦅㸧[1]࡟ࡣ㸪㟁☢ㄏᑟ࡟㛵ࡍࡿᐇ㦂࡜ࡋ࡚㸪 ౛࠼ࡤࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࢆኚ໬ࡉࡏࡓ࡜ࡁ࡟Ⓨ⏕ࡍࡿࠕㄏᑟ㉳㟁ຊࡢྥࡁ࡜኱ࡁࡉࠖࢆண᝿ࡉࡏࡓୖ ࡛㸪ࠕ࢜ࢩࣟࢫࢥ࣮ࣉ࡛ㄪ࡭ࡿᐇ㦂ࢆ⾜࠸ࠖ㸪☢᮰ࡢኚ໬࡜ㄏᑟ㉳㟁ຊࡢྥࡁࡸ኱ࡁࡉ࡜ࡢ㛵ಀࢆぢฟ ࡋ࡚⌮ゎࡉࡏࡿ㸪࡜᫂グࡉࢀ࡚࠸ࡿࠋࡇࡢࡼ࠺࡟ࠊ㧗➼Ꮫᰯ⌮⛉㸦≀⌮㸧ᩍ⫱࡟࠾࠸࡚㸪㟁☢ㄏᑟ㸪ㄏ ᑟ㉳㟁ຊࡢศ㔝ࡣ㸪⏕ᚐࡀᐇ㦂ࢆ⾜࠸⌮ゎࡍࡿࡇ࡜ࡀ๓ᥦ࡜ࡉࢀ࡚࠸ࡿࡇ࡜࠿ࡽ㸪኱Ꮫධヨࢭࣥࢱ࣮ ヨ㦂ࢆึࡵ࡜ࡍࡿྛ኱ᏛධᏛヨ㦂࡛ࡶฟ㢟㢖ᗘࡀ㧗࠸ෆᐜ࡛࠶ࡿࠋࡉࡽ࡟㸪2021 ᖺᗘ࠿ࡽࢭࣥࢱ࣮ヨ 㦂࡟ኚࢃࡿ኱Ꮫධヨඹ㏻ࢸࢫࢺ㸦᪂ࢸࢫࢺ㸧࡛ࡶ㸪ᨵゞᏛ⩦ᣦᑟせ㡿࡟ἢࡗ࡚㟁☢ㄏᑟ㸪ㄏᑟ㉳㟁ຊࡢ ᐇ㦂ࢆྲྀࡾධࢀࡓฟ㢟ࡀண᝿ࡉࢀ࡚࠸ࡿࠋ 㮵ඣᓥ኱Ꮫ⌮Ꮫ㒊ࡣ㸪ᖹᡂ28 ᖺᗘ࠿ࡽࠕ࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍ࠖ࡜ࡢඹദ࡛ࢧ࢖࢚ࣥࢫ࣭ࣃ࣮ࢺ ࢼ࣮ࢩࢵࣉ࣭ࣉࣟࢢ࣒ࣛ㸦SPP㸧ࢆᐇ᪋ࡋ㸪㧗➼Ꮫᰯࡢ⏕ᚐࢆᑐ㇟࡟᪂ࡋ࠸⌮⛉ᩍ⫱࡟ᑐᛂࡍࡿᐇ㊶ⓗ ࡞ྲྀࡾ⤌ࡳࢆ⾜ࡗ࡚࠸ࡿࠋ➹⪅ࡽࡣSPP ࡢ୍⎔࡜ࡋ࡚㸪⏕ᚐࡀࢥ࢖ࣝ࡟⏕ࡌࡿ㉳㟁ຊࡢ኱ࡁࡉࢆ☢▼ ࡀࢥ࢖ࣝࢆ㈏㏻ࡍࡿ㏿ࡉ࡜ࢥ࢖ࣝࡢᕳࡁᩘ࡜ࡢ㛵ಀ࡜ࡋ࡚ㄪ࡭ࠊㄏᑟ㉳㟁ຊࡢ⌧㇟ࢆ࢜ࢩࣟࢫࢥ࣮ࣉ ࢆ⏝࠸࡚どぬⓗ࡛࠿ࡘᐃ㔞ⓗ࡟⌮ゎ࡛ࡁࡿᐇ㦂࢟ࢵࢺࢆ㛤Ⓨࡋࡓࠋ ࡛୚࠼ࡽࢀࡿࠋࡓࡔࡋ㸪㧗ᰯ≀⌮ࡢᩍ⛉᭩࡛ࡣᚤศᙧ࡛ࡣ࡞ࡃ㸪dࡢ௦ࢃࡾ࡟ࢹࣝࢱǼࢆ⏝࠸ࡓᘧ࡛⾲ ࡋ࡚࠶ࡿࠋ_{ᘧࡢ㈇ࡢ➢ྕࡣ㸪ࢥ࢖ࣝࡢㄏᑟ㉳㟁ຊࡣࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࡢኚ໬ࢆጉࡆࡿྥࡁ࡟⏕ࡌࡿ} 㸦ࣞࣥࢶࡢἲ๎㸧ࡇ࡜ࢆ♧ࡋ࡚࠸ࡿࠋ  _ܰᅇᕳࡁࡢࢥ࢖ࣝ࡟ࡘ࠸࡚ᘧࡣḟࡢࡼ࠺࡟⾲ࡉࢀࡿࠋ ܸ ൌ െܰ݀ߔ_݀ݐሺʹሻ  ࡇࡇ࡛㸪ᅗࡢࡼ࠺࡞ᐇ㦂࢟ࢵࢺ࡛㸪ⴠୗࡉࡏࡓỌஂ☢▼ࡀᅛᐃࡋࡓࢥ࢖ࣝࢆ㏻㐣ࡋࡓ࡜ࡁ࡟⏕ࡌ ࡿㄏᑟ㉳㟁ຊ_{Vࢆ⪃࠼ࡿࠋ㛤Ⓨࡋࡓᐇ㦂࢟ࢵࢺࡢ㏱᫂ࣃ࢖ࣉ࡟ࡣࢥ࢖ࣝ఩⨨࠿ࡽࡢ㊥㞳ࢆ♧ࡍ┠┒ࡾ} ࢆࡘࡅ࡚࠾ࡾ㸪୍ᐃࡢ㊥㞳㸦㧗ࡉ㸧hn࠿ࡽ☢▼ࢆ࡯ࡰึ㏿ᗘࢮ࡛ࣟⴠୗࡉࡏࡿࡇ࡜ࡀ࡛ࡁࡿࠋ☢▼࡜ ࣃ࢖ࣉ࡜ࡢᦶ᧿ຊࢆ↓ど࡛ࡁࡿ࡜ࡍࢀࡤ㸪ࢥ࢖ࣝ఩⨨࡛ࡢ☢▼ࡢ㏿ࡉ_vnࡣຊᏛⓗ࢚ࢿࣝࢠ࣮ಖᏑ๎ࡼ ࡾᑟࡃࡇ࡜ࡀ࡛ࡁ㸪ࢥ࢖ࣝ㏻㐣᫬ࡢ_vnࡣ㸪 ݒ௡ ൌ ඥʹ݄݃௡      ሺ͵ሻ  ࡛ồࡲࡿࠋ☢▼ࡢ㧗ࡉ࡟ẚ࡭ࢥ࢖ࣝࡢᖜࡀ༑ศᑠࡉ࠸࡜ࡁ㸪ࢥ࢖ࣝࡢ☢᮰ࡢኚ໬݀ߔ ݀ݔΤ ࡢ᭱኱್ࡣ☢ ᴟࡀࢥ࢖ࣝ㏻㐣᫬ࡢ㏿ࡉ_vn࡛Ỵࡲࡿࠋࡘࡲࡾྠࡌ☢▼ࢆ⏝࠸ࢀࡤ㸪ㄏᑟ㉳㟁ຊ_{Vࡣࢥ࢖ࣝࡢᕳࡁᩘN࡜} ☢▼ࡢⴠୗ఩⨨hnࡢᖹ᪉᰿࡟ẚ౛ࡍࡿࠋ 㸱㸱ᐇ㦂ࡢᡭ㡰 ਦ̏͹Γ͑Ͷɾα΢ϩΝखΕ෉ͪ͜ΠέϨϩϏ΢ϕΝࢩ࣍ୈͶݽఈͤΖɽ ͤ_{☢▼ࡣ⣒࡛ྞࡿࡋ࡚㸪ࣃ࢖ࣉࡢෆቨ࡟᥋ゐࡋ࡞࠸ࡼ࠺࡟ⴠୗࡉࡏࡿࠋ}  ࢥ࢖ࣝࢆh1ࡢ఩⨨࡟ᅛᐃࡋ㸪ࢥ࢖ࣝࡢ10ᅇᕳࡁࡢࢱࢵࣉ࡟࢜ࢩࣟࢫࢥ࣮ࣉࢆ᥋⥆ࡍࡿࠋ  ࢔ࢡࣜࣝࣃ࢖ࣉࡢୖ➃㸦ⴠୗࡢጞⅬ㸧࠿ࡽ☢▼ࢆⴠୗࡉࡏ㸪࢜ࢩࣟࢫࢥ࣮ࣉ࡟ࢺ࣮ࣜ࢞ࡀ᥃ ࠿ࡿࡇ࡜ࢆ☜ㄆࡍࡿࠋ ͤ_{☢▼ࡣ⣒࡛ྞࡿࡋ࡚㸪ࣃ࢖ࣉࡢෆቨ࡟᥋ゐࡋ࡞࠸ࡼ࠺࡟ⴠୗࡉࡏࡿࠋ} ͤ_{ࡇࡢ᧯సࢆఱᅇ࠿⧞ࡾ㏉ࡋ㸪せ㡿ࢆ㌟࡟௜ࡅࡿ࡜Ⰻ࠸ࠋ}  ☢▼ࡀࢥ࢖ࣝࢆ㏻㐣ࡋࡓ▐㛫㸪࢜ࢩࣟࢫࢥ࣮ࣉࡢࢹ࢕ࢫࣉࣞ࢖࡟㟁ᅽࡢἼᙧࡀ⌧ࢀࡿࡇ࡜ ࢆ☜ㄆࡍࡿࠋ (5) ࢜ࢩࣟࢫࢥ࣮ࣉ࡟⾲♧ࡉࢀࡿ㟁ᅽࡢ᭱኱್㸦V+㸧࡜᭱ᑠ್(V㸫) ࢆㄞࡳྲྀࡾ㸪ࢹ࣮ࢱ⾲࡟グ㘓 ࡍࡿࠋࢥ࢖ࣝࢆ_h1ࡢ఩⨨࡟ᅛᐃࡋࡓࡲࡲ㸪ࢥ࢖ࣝࡢ_{20ᅇ㸪30ᅇ㸪40 ᅇ㸪50 ᅇࡢࢱࢵࣉ࡟࢜ࢩ} ࣟࢫࢥ࣮ࣉࢆ᥋⥆ࡋ㸪_{(V+) ࡜(V-) ࢆㄞࡳྲྀࡾ㸪ࢹ࣮ࢱ⾲㸦⾲㸯㸧࡟グ㘓ࡍࡿࠋ} (6) ࢥ࢖ࣝࢆ hn(n = 2. 3㺃㺃࣭) ࡢ఩⨨࡟⛣ືࡉࡏ㸪( 4)࡜( 5) ࡢ ᐃࢆ⾜࠸ࢹ࣮ࢱ⾲࡟グ㘓ࡍࡿࠋ  㸲ᐇ㦂ࡢࢹ࣮ࢱ࡜ゎᯒ  ⾲㸯ࡣ⏕ᚐ࡟ ᐃ್ࢆグ㘓ࡉࡏࡿᐇ㦂࣮࣡ࢡࢩ࣮ࢺࡢ౛࡛㸪ᐇ㝿࡟ࢥ࢖ࣝࡢᕳࡁᩘ㸦ࢱࢵࣉ㸧᭰࠼࡚  ᐃࡋࡓ್ࢆ♧ࡋ࡚࠸ࡿࠋ⾲㸯_{a ࡣࢥ࢖ࣝࡢᕳࡁᩘ 10 ᅇࡢࢹ࣮ࢱ࡛࠶ࡾ㸪⾲㸯b ࡣᕳࡁᩘ 20 ᅇ㸪⾲㸯} c ࡣᕳࡁᩘ 30 ᅇ㸪⾲㸯d ࡣᕳࡁᩘ 40 ᅇ㸪⾲㸯e ࡣᕳࡁᩘ 50 ᅇࡢࢹ࣮ࢱ࡛࠶ࡿࠋࡇࡇ࡛㸪⾲ࡢ(V+)ࡣ ࢜ࢩࣟࢫࢥ࣮ࣉἼᙧ㸦ㄏᑟ㉳㟁ຊ㸧ࡢ᭱኱್㸦ࣉࣛࢫࣆ࣮ࢡ್㸧࡛㸪_(V-)ࡣ᭱ᑠ್㸦࣐࢖ࢼࢫࣆ࣮ࢡ್㸧 ࡛࠶ࡿࠋ ⏕ᚐࡣ㸪☢▼ࡀࢥ࢖ࣝ㏻㐣᫬ࡢⴠୗࡢ㏿ࡉ_ݒ௡ࢆ _{(3)ᘧࢆ⏝࠸࡚ⴠୗ㊥㞳ℎ௡}࠿ࡽィ⟬ࡋ㸪⾲_{2࡟グ㘓ࡍ} ࡿࠋࡉࡽ࡟⏕ᚐࡣ㸪⾲㸯࠿ࡽࢥ࢖ࣝࡢᕳࡁᩘࡈ࡜࡟㉳㟁ຊࡢ᭱኱್V+࡜᭱ᑠ್V-ࡢࡑࢀࡒࢀࡢᖹᆒ್ ࡜☢▼ࡢⴠୗ㊥㞳㸦㏿ࡉ㸧ࢆ⾲㸰࡟ᩚ⌮ࡍࡿࠋࢹ࣮ࢱ⾲㸰࠿ࡽࢥ࢖ࣝࡢᕳࡁᩘࡈ࡜࡟㸪☢▼ࡢ㏿ࡉ࡜㉳

☢▼ⴠୗᘧㄏᑟ㉳㟁ຊᐇ㦂࢟ࢵࢺࡢ㛤Ⓨ࡜⏕ᚐᐇ㦂

Development of Induced Electromotive Force Measuring Device by the

Magnet-fall and Student Experiments with This

㝞㯇_{࣭ℊ㷂㈉}㸯㸧_{࣭ᒣཱྀග⮧}㸰㸧_{࣭ᑠཎ┈ᕫ}_{࣭୕஭ዲྂ}㸯㸧_{࣭ᑠᒣ ె୍}㸰㸧 _

Li CHEN 1)_{, Mitsugi HAMASAKI} 1)_{, Mitsuomi YAMAGUCHI} 2)_{, Masumi OBARA} 3)_{,Yoshifuru MITSUI} 4)_,

Keiichi KOYAMA 4)_,ː

_{㮵ඣᓥ኱Ꮫඹ㏻ᩍ⫱ࢭࣥࢱ࣮}

1)_{Education Center, Kagoshima University}

_{࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍}

2)_{Kagoshima Enterprise Exchange Society}

_{ཎ⏣Ꮫᅬ㮵ඣᓥ᝟ሗ㧗➼Ꮫᰯ}

3)_{Kagoshima JOHO High School, Harada Academy}

_{㮵ඣᓥ኱Ꮫ኱Ꮫ㝔⌮ᕤᏛ◊✲⛉}

4) _{Graduate School of Science and Engineering, Kagoshima University}

* [email protected]

Abstract: The basic learning of electromagnetic induction is to understand the relationship between the magnitude

and direction of the induced electromotive force by changing the magnetic flux, but this cannot be visually grasped as a phenomenon. This is the reason why it is difficult for students to understand the concept of electromagnetic induction. It is required to develop an experimental kit that allows students to understand visually and quantitatively through experiments. In this work, we developed an “induced electromotive force experiment kit” for high school students and taught high school students about electromagnetic induction experiments using this kit. In this report, we outline the experiment kit and our project class of high school/university connection.

Keywords: Electromagnetic induction, Magnetic flux, Lenz’s Law, Number of coil-turns

㸯 ࡣࡌࡵ࡟ 2022 ᖺᗘ࠿ࡽᐇ᪋ࡉࢀࡿḟᮇᏛ⩦ᣦᑟせ㡿ࡣ㸪ࠕ⮬↛ࡢ஦≀࣭⌧㇟ࢆ㸪㉁ⓗ࣭㔞ⓗ࡞㛵ಀࡸ᫬㛫ⓗ࣭ ✵㛫ⓗ࡞㛵ಀࢆ⛉Ꮫⓗ࡞どⅬ࡛ᤊ࠼㸪㸦୰␎㸧᥈✲ࡍࡿ᪉ἲࢆ⏝࠸࡚⪃࠼ࡿࡇ࡜ࠖ࡜୺ᙇࡋ࡚࠸ࡿࠋࡇ ࢀࢆ㋃ࡲ࠼࡚ᨵゞ㧗➼ᏛᰯᏛ⩦ᣦᑟせ㡿⌮⛉ゎㄝ㸦⌮⛉⦅㸧[1]࡟ࡣ㸪㟁☢ㄏᑟ࡟㛵ࡍࡿᐇ㦂࡜ࡋ࡚㸪 ౛࠼ࡤࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࢆኚ໬ࡉࡏࡓ࡜ࡁ࡟Ⓨ⏕ࡍࡿࠕㄏᑟ㉳㟁ຊࡢྥࡁ࡜኱ࡁࡉࠖࢆண᝿ࡉࡏࡓୖ ࡛㸪ࠕ࢜ࢩࣟࢫࢥ࣮ࣉ࡛ㄪ࡭ࡿᐇ㦂ࢆ⾜࠸ࠖ㸪☢᮰ࡢኚ໬࡜ㄏᑟ㉳㟁ຊࡢྥࡁࡸ኱ࡁࡉ࡜ࡢ㛵ಀࢆぢฟ ࡋ࡚⌮ゎࡉࡏࡿ㸪࡜᫂グࡉࢀ࡚࠸ࡿࠋࡇࡢࡼ࠺࡟ࠊ㧗➼Ꮫᰯ⌮⛉㸦≀⌮㸧ᩍ⫱࡟࠾࠸࡚㸪㟁☢ㄏᑟ㸪ㄏ ᑟ㉳㟁ຊࡢศ㔝ࡣ㸪⏕ᚐࡀᐇ㦂ࢆ⾜࠸⌮ゎࡍࡿࡇ࡜ࡀ๓ᥦ࡜ࡉࢀ࡚࠸ࡿࡇ࡜࠿ࡽ㸪኱Ꮫධヨࢭࣥࢱ࣮ ヨ㦂ࢆึࡵ࡜ࡍࡿྛ኱ᏛධᏛヨ㦂࡛ࡶฟ㢟㢖ᗘࡀ㧗࠸ෆᐜ࡛࠶ࡿࠋࡉࡽ࡟㸪2021 ᖺᗘ࠿ࡽࢭࣥࢱ࣮ヨ 㦂࡟ኚࢃࡿ኱Ꮫධヨඹ㏻ࢸࢫࢺ㸦᪂ࢸࢫࢺ㸧࡛ࡶ㸪ᨵゞᏛ⩦ᣦᑟせ㡿࡟ἢࡗ࡚㟁☢ㄏᑟ㸪ㄏᑟ㉳㟁ຊࡢ ᐇ㦂ࢆྲྀࡾධࢀࡓฟ㢟ࡀண᝿ࡉࢀ࡚࠸ࡿࠋ 㮵ඣᓥ኱Ꮫ⌮Ꮫ㒊ࡣ㸪ᖹᡂ28 ᖺᗘ࠿ࡽࠕ࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍ࠖ࡜ࡢඹദ࡛ࢧ࢖࢚ࣥࢫ࣭ࣃ࣮ࢺ ࢼ࣮ࢩࢵࣉ࣭ࣉࣟࢢ࣒ࣛ㸦SPP㸧ࢆᐇ᪋ࡋ㸪㧗➼Ꮫᰯࡢ⏕ᚐࢆᑐ㇟࡟᪂ࡋ࠸⌮⛉ᩍ⫱࡟ᑐᛂࡍࡿᐇ㊶ⓗ ࡞ྲྀࡾ⤌ࡳࢆ⾜ࡗ࡚࠸ࡿࠋ➹⪅ࡽࡣSPP ࡢ୍⎔࡜ࡋ࡚㸪⏕ᚐࡀࢥ࢖ࣝ࡟⏕ࡌࡿ㉳㟁ຊࡢ኱ࡁࡉࢆ☢▼ ࡀࢥ࢖ࣝࢆ㈏㏻ࡍࡿ㏿ࡉ࡜ࢥ࢖ࣝࡢᕳࡁᩘ࡜ࡢ㛵ಀ࡜ࡋ࡚ㄪ࡭ࠊㄏᑟ㉳㟁ຊࡢ⌧㇟ࢆ࢜ࢩࣟࢫࢥ࣮ࣉ ࢆ⏝࠸࡚どぬⓗ࡛࠿ࡘᐃ㔞ⓗ࡟⌮ゎ࡛ࡁࡿᐇ㦂࢟ࢵࢺࢆ㛤Ⓨࡋࡓࠋ 㟁ຊࡢ኱ࡁࡉࡢࢢࣛࣇࢆసᡂࡍࡿࠋ☢▼ࡢࢥ࢖ࣝ㏻㐣᫬㏿ࡉvn࡜ㄏᑟ㉳㟁ຊVࡢ㛵ಀࢢࣛࣇࡢ౛ࢆᅗ5 ࡟♧ࡍࠋ   ⾲㸯 ࢥ࢖ࣝࡢᕳࡁᩘࡈ࡜࡟㸪☢▼ࡢⴠୗ㊥㞳࡜㉳㟁ຊࡢ኱ࡁࡉグ㘓 ⾲_{1 a} ࢥ࢖ࣝࡢᕳᩘ㸦1 0 ᅇ㸧   (༢఩㸸mV) 㸯  ᅇ 㸰  ᅇ 㸱  ᅇ _{4  ᅇ 5  ᅇ} ᖹ  ᆒ ⴠୗ㊥㞳_{(cm) V+ V}㸫 V+ V㸫 V+ V㸫 V+ V㸫 V+ V㸫 V+ V㸫 0 0 0 0 0 0 0 0 0 0 0 0 0 10 48 77 48 77 46 75 46 77 48 79 47 77 20 75 103 75 103 75 103 75 105 75 103 75 103 30 93 123 95 123 95 123 93 123 95 123 94 123 40 111 141 111 139 113 141 111 139 111 140 111 140 ⾲_{1 b} ࢥ࢖ࣝࡢᕳᩘ㸦㸰 0 ᅇ㸧   (༢఩㸸mV) 㸯  ᅇ 㸰  ᅇ 㸱  ᅇ _{4  ᅇ 5  ᅇ} ᖹ  ᆒ ⴠୗ㊥㞳_{(cm) V+ V}㸫 V+ V㸫 V+ V㸫 V+ V㸫 V+ V㸫 V+ V㸫 0 0 0 0 0 0 0 0 0 0 0 0 0 10 111 152 111 150 107 150 113 152 109 150 110 151 20 168 206 166 202 168 204 166 204 168 206 167 204 30 210 247 208 247 210 245 210 247 210 247 210 247 40 245 283 245 283 245 279 249 283 245 281 246 282 ⾲_{1 c} ࢥ࢖ࣝࡢᕳᩘ㸦㸱 0 ᅇ㸧   (༢఩㸸mV) 㸯  ᅇ 㸰  ᅇ 㸱  ᅇ _{4  ᅇ 5  ᅇ} ᖹ  ᆒ ⴠୗ㊥㞳_{(cm) V+ V}㸫 V+ V㸫 V+ V㸫 V+ V㸫 V+ V㸫 V+ V㸫 0 0 0 0 0 0 0 0 0 0 0 0 0 10 170 223 170 223 168 219 168 221 168 221 169 221 20 253 300 253 298 251 298 249 298 251 300 251 299 30 316 361 314 361 318 365 316 363 314 361 316 362 40 369 411 371 413 367 409 371 413 369 413 369 412 ⾲_1d ࢥ࢖ࣝࡢᕳᩘ㸦㸲 0 ᅇ㸧   (༢఩㸸mV) 㸯  ᅇ 㸰  ᅇ 㸱  ᅇ _{4  ᅇ 5  ᅇ} ᖹ  ᆒ ⴠୗ㊥㞳_{(cm) V+ V}㸫 V+ V㸫 V+ V㸫 V+ V㸫 V+ V㸫 V+ V㸫 0 0 0 0 0 0 0 0 0 0 0 0 0 10 225 290 227 292 227 288 225 288 227 290 226 290 20 332 393 330 389 332 391 334 395 334 391 332 392 30 419 474 423 480 421 476 419 476 419 476 420 476 40 488 543 490 543 488 541 486 543 486 547 488 543

☢▼ⴠୗᘧㄏᑟ㉳㟁ຊᐇ㦂࢟ࢵࢺࡢ㛤Ⓨ࡜⏕ᚐᐇ㦂

Development of Induced Electromotive Force Measuring Device by the

Magnet-fall and Student Experiments with This

㝞㯇_{࣭ℊ㷂㈉}㸯㸧_{࣭ᒣཱྀග⮧}㸰㸧_{࣭ᑠཎ┈ᕫ}_{࣭୕஭ዲྂ}㸯㸧_{࣭ᑠᒣ ె୍}㸰㸧 _

Li CHEN 1)_{, Mitsugi HAMASAKI} 1)_{, Mitsuomi YAMAGUCHI} 2)_{, Masumi OBARA} 3)_{,Yoshifuru MITSUI} 4)_,

Keiichi KOYAMA 4)_,ː

_{㮵ඣᓥ኱Ꮫඹ㏻ᩍ⫱ࢭࣥࢱ࣮}

1)_{Education Center, Kagoshima University}

_{࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍}

2)_{Kagoshima Enterprise Exchange Society}

_{ཎ⏣Ꮫᅬ㮵ඣᓥ᝟ሗ㧗➼Ꮫᰯ}

3)_{Kagoshima JOHO High School, Harada Academy}

_{㮵ඣᓥ኱Ꮫ኱Ꮫ㝔⌮ᕤᏛ◊✲⛉}

4) _{Graduate School of Science and Engineering, Kagoshima University}

* [email protected]

Abstract: The basic learning of electromagnetic induction is to understand the relationship between the magnitude

and direction of the induced electromotive force by changing the magnetic flux, but this cannot be visually grasped as a phenomenon. This is the reason why it is difficult for students to understand the concept of electromagnetic induction. It is required to develop an experimental kit that allows students to understand visually and quantitatively through experiments. In this work, we developed an “induced electromotive force experiment kit” for high school students and taught high school students about electromagnetic induction experiments using this kit. In this report, we outline the experiment kit and our project class of high school/university connection.

Keywords: Electromagnetic induction, Magnetic flux, Lenz’s Law, Number of coil-turns

㸯 ࡣࡌࡵ࡟ 2022 ᖺᗘ࠿ࡽᐇ᪋ࡉࢀࡿḟᮇᏛ⩦ᣦᑟせ㡿ࡣ㸪ࠕ⮬↛ࡢ஦≀࣭⌧㇟ࢆ㸪㉁ⓗ࣭㔞ⓗ࡞㛵ಀࡸ᫬㛫ⓗ࣭ ✵㛫ⓗ࡞㛵ಀࢆ⛉Ꮫⓗ࡞どⅬ࡛ᤊ࠼㸪㸦୰␎㸧᥈✲ࡍࡿ᪉ἲࢆ⏝࠸࡚⪃࠼ࡿࡇ࡜ࠖ࡜୺ᙇࡋ࡚࠸ࡿࠋࡇ ࢀࢆ㋃ࡲ࠼࡚ᨵゞ㧗➼ᏛᰯᏛ⩦ᣦᑟせ㡿⌮⛉ゎㄝ㸦⌮⛉⦅㸧[1]࡟ࡣ㸪㟁☢ㄏᑟ࡟㛵ࡍࡿᐇ㦂࡜ࡋ࡚㸪 ౛࠼ࡤࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࢆኚ໬ࡉࡏࡓ࡜ࡁ࡟Ⓨ⏕ࡍࡿࠕㄏᑟ㉳㟁ຊࡢྥࡁ࡜኱ࡁࡉࠖࢆண᝿ࡉࡏࡓୖ ࡛㸪ࠕ࢜ࢩࣟࢫࢥ࣮ࣉ࡛ㄪ࡭ࡿᐇ㦂ࢆ⾜࠸ࠖ㸪☢᮰ࡢኚ໬࡜ㄏᑟ㉳㟁ຊࡢྥࡁࡸ኱ࡁࡉ࡜ࡢ㛵ಀࢆぢฟ ࡋ࡚⌮ゎࡉࡏࡿ㸪࡜᫂グࡉࢀ࡚࠸ࡿࠋࡇࡢࡼ࠺࡟ࠊ㧗➼Ꮫᰯ⌮⛉㸦≀⌮㸧ᩍ⫱࡟࠾࠸࡚㸪㟁☢ㄏᑟ㸪ㄏ ᑟ㉳㟁ຊࡢศ㔝ࡣ㸪⏕ᚐࡀᐇ㦂ࢆ⾜࠸⌮ゎࡍࡿࡇ࡜ࡀ๓ᥦ࡜ࡉࢀ࡚࠸ࡿࡇ࡜࠿ࡽ㸪኱Ꮫධヨࢭࣥࢱ࣮ ヨ㦂ࢆึࡵ࡜ࡍࡿྛ኱ᏛධᏛヨ㦂࡛ࡶฟ㢟㢖ᗘࡀ㧗࠸ෆᐜ࡛࠶ࡿࠋࡉࡽ࡟㸪2021 ᖺᗘ࠿ࡽࢭࣥࢱ࣮ヨ 㦂࡟ኚࢃࡿ኱Ꮫධヨඹ㏻ࢸࢫࢺ㸦᪂ࢸࢫࢺ㸧࡛ࡶ㸪ᨵゞᏛ⩦ᣦᑟせ㡿࡟ἢࡗ࡚㟁☢ㄏᑟ㸪ㄏᑟ㉳㟁ຊࡢ ᐇ㦂ࢆྲྀࡾධࢀࡓฟ㢟ࡀண᝿ࡉࢀ࡚࠸ࡿࠋ 㮵ඣᓥ኱Ꮫ⌮Ꮫ㒊ࡣ㸪ᖹᡂ28 ᖺᗘ࠿ࡽࠕ࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍ࠖ࡜ࡢඹദ࡛ࢧ࢖࢚ࣥࢫ࣭ࣃ࣮ࢺ ࢼ࣮ࢩࢵࣉ࣭ࣉࣟࢢ࣒ࣛ㸦SPP㸧ࢆᐇ᪋ࡋ㸪㧗➼Ꮫᰯࡢ⏕ᚐࢆᑐ㇟࡟᪂ࡋ࠸⌮⛉ᩍ⫱࡟ᑐᛂࡍࡿᐇ㊶ⓗ ࡞ྲྀࡾ⤌ࡳࢆ⾜ࡗ࡚࠸ࡿࠋ➹⪅ࡽࡣSPP ࡢ୍⎔࡜ࡋ࡚㸪⏕ᚐࡀࢥ࢖ࣝ࡟⏕ࡌࡿ㉳㟁ຊࡢ኱ࡁࡉࢆ☢▼ ࡀࢥ࢖ࣝࢆ㈏㏻ࡍࡿ㏿ࡉ࡜ࢥ࢖ࣝࡢᕳࡁᩘ࡜ࡢ㛵ಀ࡜ࡋ࡚ㄪ࡭ࠊㄏᑟ㉳㟁ຊࡢ⌧㇟ࢆ࢜ࢩࣟࢫࢥ࣮ࣉ ࢆ⏝࠸࡚どぬⓗ࡛࠿ࡘᐃ㔞ⓗ࡟⌮ゎ࡛ࡁࡿᐇ㦂࢟ࢵࢺࢆ㛤Ⓨࡋࡓࠋ ⾲_{1 e} ࢥ࢖ࣝࡢᕳᩘ㸦㸳 0 ᅇ㸧   (༢఩㸸mV) 㸯  ᅇ 㸰  ᅇ 㸱  ᅇ _{4  ᅇ 5  ᅇ} ᖹ  ᆒ ⴠୗ㊥㞳_{(cm) V+ V}㸫 V+ V㸫 V+ V㸫 V+ V㸫 V+ V㸫 V+ V㸫 0 0 0 0 0 0 0 0 0 0 0 0 0 10 279 354 281 354 279 352 283 356 279 354 280 354 20 413 484 411 480 411 482 411 478 411 480 411 481 30 515 582 515 582 517 584 517 582 515 582 516 582 40 602 669 600 665 604 665 606 673 600 665 602 667 



⾲㸰 ☢▼ࡢ㏿ࡉ_ݒ௡࡜㉳㟁ຊ_{V ࡢᖹᆒ್} ☢▼ࡢ㐠ື ㏿ࡉ (㹫/s) ㉳㟁ຊࡢᖹᆒ್ 㸦༢఩㸸mV㸧 ᕳࡁᩘ _{10 ᅇ} ᕳࡁᩘ _{20 ᅇ} ᕳࡁᩘ _{30 ᅇ} ᕳࡁᩘ _{40 ᅇ} ᕳࡁᩘ _{50 ᅇ} ⴠୗ㊥㞳 _{(m) N1V+ N1V}㸫 N2V+ N2V㸫 N3V+ N3V㸫 N4V+ N4V㸫 N5V+ N5V㸫 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 1.40 47 77 110 151 169 221 226 290 280 354 0.20 1.98 75 103 167 204 251 299 332 392 411 481 0.30 2.42 94 123 210 247 316 362 420 476 516 582 0.40 2.80 111 140 246 282 369 412 488 543 602 667 ˜௡ൌ ඥʹ݄݃௡  ਦ̓ ת਼͘1Νร͓ͪͳ͘͹☢▼ࡢࢥ࢖ࣝ㏻㐣᫬㏿ࡉ vn࡜ㄏᑟ㉳㟁ຊV ࡢ㛵ಀ

☢▼ⴠୗᘧㄏᑟ㉳㟁ຊᐇ㦂࢟ࢵࢺࡢ㛤Ⓨ࡜⏕ᚐᐇ㦂

Development of Induced Electromotive Force Measuring Device by the

Magnet-fall and Student Experiments with This

㝞㯇_{࣭ℊ㷂㈉}㸯㸧_{࣭ᒣཱྀග⮧}㸰㸧_{࣭ᑠཎ┈ᕫ}_{࣭୕஭ዲྂ}㸯㸧_{࣭ᑠᒣ ె୍}㸰㸧 _

Li CHEN 1)_{, Mitsugi HAMASAKI} 1)_{, Mitsuomi YAMAGUCHI} 2)_{, Masumi OBARA} 3)_{,Yoshifuru MITSUI} 4)_,

Keiichi KOYAMA 4)_,ː

_{㮵ඣᓥ኱Ꮫඹ㏻ᩍ⫱ࢭࣥࢱ࣮}

1)_{Education Center, Kagoshima University}

_{࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍}

2)_{Kagoshima Enterprise Exchange Society}

_{ཎ⏣Ꮫᅬ㮵ඣᓥ᝟ሗ㧗➼Ꮫᰯ}

3)_{Kagoshima JOHO High School, Harada Academy}

_{㮵ඣᓥ኱Ꮫ኱Ꮫ㝔⌮ᕤᏛ◊✲⛉}

4) _{Graduate School of Science and Engineering, Kagoshima University}

* [email protected]

Abstract: The basic learning of electromagnetic induction is to understand the relationship between the magnitude

and direction of the induced electromotive force by changing the magnetic flux, but this cannot be visually grasped as a phenomenon. This is the reason why it is difficult for students to understand the concept of electromagnetic induction. It is required to develop an experimental kit that allows students to understand visually and quantitatively through experiments. In this work, we developed an “induced electromotive force experiment kit” for high school students and taught high school students about electromagnetic induction experiments using this kit. In this report, we outline the experiment kit and our project class of high school/university connection.

Keywords: Electromagnetic induction, Magnetic flux, Lenz’s Law, Number of coil-turns

㸯 ࡣࡌࡵ࡟ 2022 ᖺᗘ࠿ࡽᐇ᪋ࡉࢀࡿḟᮇᏛ⩦ᣦᑟせ㡿ࡣ㸪ࠕ⮬↛ࡢ஦≀࣭⌧㇟ࢆ㸪㉁ⓗ࣭㔞ⓗ࡞㛵ಀࡸ᫬㛫ⓗ࣭ ✵㛫ⓗ࡞㛵ಀࢆ⛉Ꮫⓗ࡞どⅬ࡛ᤊ࠼㸪㸦୰␎㸧᥈✲ࡍࡿ᪉ἲࢆ⏝࠸࡚⪃࠼ࡿࡇ࡜ࠖ࡜୺ᙇࡋ࡚࠸ࡿࠋࡇ ࢀࢆ㋃ࡲ࠼࡚ᨵゞ㧗➼ᏛᰯᏛ⩦ᣦᑟせ㡿⌮⛉ゎㄝ㸦⌮⛉⦅㸧[1]࡟ࡣ㸪㟁☢ㄏᑟ࡟㛵ࡍࡿᐇ㦂࡜ࡋ࡚㸪 ౛࠼ࡤࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࢆኚ໬ࡉࡏࡓ࡜ࡁ࡟Ⓨ⏕ࡍࡿࠕㄏᑟ㉳㟁ຊࡢྥࡁ࡜኱ࡁࡉࠖࢆண᝿ࡉࡏࡓୖ ࡛㸪ࠕ࢜ࢩࣟࢫࢥ࣮ࣉ࡛ㄪ࡭ࡿᐇ㦂ࢆ⾜࠸ࠖ㸪☢᮰ࡢኚ໬࡜ㄏᑟ㉳㟁ຊࡢྥࡁࡸ኱ࡁࡉ࡜ࡢ㛵ಀࢆぢฟ ࡋ࡚⌮ゎࡉࡏࡿ㸪࡜᫂グࡉࢀ࡚࠸ࡿࠋࡇࡢࡼ࠺࡟ࠊ㧗➼Ꮫᰯ⌮⛉㸦≀⌮㸧ᩍ⫱࡟࠾࠸࡚㸪㟁☢ㄏᑟ㸪ㄏ ᑟ㉳㟁ຊࡢศ㔝ࡣ㸪⏕ᚐࡀᐇ㦂ࢆ⾜࠸⌮ゎࡍࡿࡇ࡜ࡀ๓ᥦ࡜ࡉࢀ࡚࠸ࡿࡇ࡜࠿ࡽ㸪኱Ꮫධヨࢭࣥࢱ࣮ ヨ㦂ࢆึࡵ࡜ࡍࡿྛ኱ᏛධᏛヨ㦂࡛ࡶฟ㢟㢖ᗘࡀ㧗࠸ෆᐜ࡛࠶ࡿࠋࡉࡽ࡟㸪2021 ᖺᗘ࠿ࡽࢭࣥࢱ࣮ヨ 㦂࡟ኚࢃࡿ኱Ꮫධヨඹ㏻ࢸࢫࢺ㸦᪂ࢸࢫࢺ㸧࡛ࡶ㸪ᨵゞᏛ⩦ᣦᑟせ㡿࡟ἢࡗ࡚㟁☢ㄏᑟ㸪ㄏᑟ㉳㟁ຊࡢ ᐇ㦂ࢆྲྀࡾධࢀࡓฟ㢟ࡀண᝿ࡉࢀ࡚࠸ࡿࠋ 㮵ඣᓥ኱Ꮫ⌮Ꮫ㒊ࡣ㸪ᖹᡂ28 ᖺᗘ࠿ࡽࠕ࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍ࠖ࡜ࡢඹദ࡛ࢧ࢖࢚ࣥࢫ࣭ࣃ࣮ࢺ ࢼ࣮ࢩࢵࣉ࣭ࣉࣟࢢ࣒ࣛ㸦SPP㸧ࢆᐇ᪋ࡋ㸪㧗➼Ꮫᰯࡢ⏕ᚐࢆᑐ㇟࡟᪂ࡋ࠸⌮⛉ᩍ⫱࡟ᑐᛂࡍࡿᐇ㊶ⓗ ࡞ྲྀࡾ⤌ࡳࢆ⾜ࡗ࡚࠸ࡿࠋ➹⪅ࡽࡣSPP ࡢ୍⎔࡜ࡋ࡚㸪⏕ᚐࡀࢥ࢖ࣝ࡟⏕ࡌࡿ㉳㟁ຊࡢ኱ࡁࡉࢆ☢▼ ࡀࢥ࢖ࣝࢆ㈏㏻ࡍࡿ㏿ࡉ࡜ࢥ࢖ࣝࡢᕳࡁᩘ࡜ࡢ㛵ಀ࡜ࡋ࡚ㄪ࡭ࠊㄏᑟ㉳㟁ຊࡢ⌧㇟ࢆ࢜ࢩࣟࢫࢥ࣮ࣉ ࢆ⏝࠸࡚どぬⓗ࡛࠿ࡘᐃ㔞ⓗ࡟⌮ゎ࡛ࡁࡿᐇ㦂࢟ࢵࢺࢆ㛤Ⓨࡋࡓࠋ ᅗ㸳࠿ࡽࢃ࠿ࡿࡼ࠺࡟㸪ࢥ࢖ࣝࡢᕳࡁᩘN ࡀ୍ᐃࡢሙྜ㸪ㄏᑟ㉳㟁ຊ V ࡢ᭱኱್ࡣ☢▼ࡢࢥ࢖ࣝ㏻㐣 ᫬ࡢ㏿ࡉ࡟_vn࡟ẚ౛ࡍࡿࠋᅗ୰ࡢ㯮┤⥺ࡣ ᐃ್ࡢ㸯ḟ㛵ᩘ࡟ࡼࡿ᭱ᑠ஧஌ἲࣇ࢕ࢵࢸ࢕ࣥࢢࡢ⤖ᯝ ࡛࠶ࡿࠋN ࡀከ࠸࡜ࡁ㸪vnࡢᑠࡉ࠸࡜ࡁ࡟ ᐃ್࡜ࣇ࢕ࢵࢸ࢕ࣥࢢ⤖ᯝ࡟ᕪࡀ⏕ࡌ࡚࠾ࡾ㸪༑ศ࡞㧗ࡉ ࠿ࡽࡢ☢▼ࡢⴠୗࡀᚲせ࡜♧၀ࡉࢀࡿࡀ㸪⏕ᚐࡢㄏᑟ㉳㟁ຊࡢ⌮ゎ࡟ࡣ༑ศ࡞⤖ᯝ࡜⪃࠼ࡿࠋ ⾲㸱ࡣ㸪⾲㸯࠿ࡽ☢▼ࡢⴠୗ㊥㞳ࡈ࡜࡟ㄏᑟ㉳㟁ຊࡢ᭱኱್V+࡜᭱ᑠ್ V-ࡢࡑࢀࡒࢀࡢᖹᆒ್࡜ࢥ ࢖ࣝࡢᕳࡁᩘN ࢆᩚ⌮ࡋࡓࡶࡢ࡛࠶ࡿࠋ⾲ 3 ࠿ࡽㄏᑟ㉳㟁ຊ V ࡜ࢥ࢖ࣝࡢᕳࡁᩘ N ࡢ㛵ಀࢆࡲ࡜ࡵࡿ ࡜㸪ᅗ_{6 ࡟♧ࡍࢢࣛࣇ࡟࡞ࡿࠋㄏᑟ㉳㟁ຊ V ࡣࢥ࢖ࣝࡢᕳࡁᩘ N ࡟ᑐࡋ࡚┤⥺ⓗ࡟ኚ໬ࡍࡿࠋᅗ୰ࡢ} 㯮┤⥺ࡣ ᐃ್ࡢ㸯ḟ㛵ᩘ࡟ࡼࡿ᭱ᑠ஧஌ἲࣇ࢕ࢵࢸ࢕ࣥࢢࡢ⤖ᯝ࡛࠶ࡿࠋᅗ㸴࠿ࡽ⏕ᚐࡣ㸪ㄏᑟ㉳ 㟁ຊࡀࢥ࢖ࣝࡢᕳࡁᩘN ࡟ẚ౛ࡍࡿࡇ࡜ࢆᐃ㔞ⓗ㸪どぬⓗ࡟⌮ゎࢆ࡛ࡁࡿࠋ ⾲_{3 ࢥ࢖ࣝࡢᕳࡁᩘ N ࡜㉳㟁ຊ V ࡢᖹᆒ್} ☢▼ࡢ㐠ື ㉳㟁ຊࡢᖹᆒ್ 㸦༢఩㸸mV㸧 h1= 10(cm) h2= 20(cm) h3= 30(cm) h4= 40(cm) ᕳࡁᩘ_{N (ᅇ㸧 h1V+ h1V}㸫 h2V+ h2V㸫 h3V+ h3V㸫 h4V+ h4V㸫 0 0 0 0 0 0 0 0 0 10 47 77 75 103 94 123 111 140 20 110 151 167 204 210 247 246 282 30 169 221 251 299 316 362 369 412 40 226 290 332 392 420 476 488 543 50 280 354 411 481 516 582 602 667  ਦ 6 ߶͠ h Νร͓ͪͳ͘͹ㄏᑟ㉳㟁ຊ V ࡜ת਼͘ N ͳࡢ㛵ಀ

☢▼ⴠୗᘧㄏᑟ㉳㟁ຊᐇ㦂࢟ࢵࢺࡢ㛤Ⓨ࡜⏕ᚐᐇ㦂

Development of Induced Electromotive Force Measuring Device by the

Magnet-fall and Student Experiments with This

㝞㯇_{࣭ℊ㷂㈉}㸯㸧_{࣭ᒣཱྀග⮧}㸰㸧_{࣭ᑠཎ┈ᕫ}_{࣭୕஭ዲྂ}㸯㸧_{࣭ᑠᒣ ె୍}㸰㸧 _

Li CHEN 1)_{, Mitsugi HAMASAKI} 1)_{, Mitsuomi YAMAGUCHI} 2)_{, Masumi OBARA} 3)_{,Yoshifuru MITSUI} 4)_,

Keiichi KOYAMA 4)_,ː

_{㮵ඣᓥ኱Ꮫඹ㏻ᩍ⫱ࢭࣥࢱ࣮}

1)_{Education Center, Kagoshima University}

_{࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍}

2)_{Kagoshima Enterprise Exchange Society}

_{ཎ⏣Ꮫᅬ㮵ඣᓥ᝟ሗ㧗➼Ꮫᰯ}

3)_{Kagoshima JOHO High School, Harada Academy}

_{㮵ඣᓥ኱Ꮫ኱Ꮫ㝔⌮ᕤᏛ◊✲⛉}

4) _{Graduate School of Science and Engineering, Kagoshima University}

* [email protected]

Abstract: The basic learning of electromagnetic induction is to understand the relationship between the magnitude

and direction of the induced electromotive force by changing the magnetic flux, but this cannot be visually grasped as a phenomenon. This is the reason why it is difficult for students to understand the concept of electromagnetic induction. It is required to develop an experimental kit that allows students to understand visually and quantitatively through experiments. In this work, we developed an “induced electromotive force experiment kit” for high school students and taught high school students about electromagnetic induction experiments using this kit. In this report, we outline the experiment kit and our project class of high school/university connection.

Keywords: Electromagnetic induction, Magnetic flux, Lenz’s Law, Number of coil-turns

㸯 ࡣࡌࡵ࡟ 2022 ᖺᗘ࠿ࡽᐇ᪋ࡉࢀࡿḟᮇᏛ⩦ᣦᑟせ㡿ࡣ㸪ࠕ⮬↛ࡢ஦≀࣭⌧㇟ࢆ㸪㉁ⓗ࣭㔞ⓗ࡞㛵ಀࡸ᫬㛫ⓗ࣭ ✵㛫ⓗ࡞㛵ಀࢆ⛉Ꮫⓗ࡞どⅬ࡛ᤊ࠼㸪㸦୰␎㸧᥈✲ࡍࡿ᪉ἲࢆ⏝࠸࡚⪃࠼ࡿࡇ࡜ࠖ࡜୺ᙇࡋ࡚࠸ࡿࠋࡇ ࢀࢆ㋃ࡲ࠼࡚ᨵゞ㧗➼ᏛᰯᏛ⩦ᣦᑟせ㡿⌮⛉ゎㄝ㸦⌮⛉⦅㸧[1]࡟ࡣ㸪㟁☢ㄏᑟ࡟㛵ࡍࡿᐇ㦂࡜ࡋ࡚㸪 ౛࠼ࡤࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࢆኚ໬ࡉࡏࡓ࡜ࡁ࡟Ⓨ⏕ࡍࡿࠕㄏᑟ㉳㟁ຊࡢྥࡁ࡜኱ࡁࡉࠖࢆண᝿ࡉࡏࡓୖ ࡛㸪ࠕ࢜ࢩࣟࢫࢥ࣮ࣉ࡛ㄪ࡭ࡿᐇ㦂ࢆ⾜࠸ࠖ㸪☢᮰ࡢኚ໬࡜ㄏᑟ㉳㟁ຊࡢྥࡁࡸ኱ࡁࡉ࡜ࡢ㛵ಀࢆぢฟ ࡋ࡚⌮ゎࡉࡏࡿ㸪࡜᫂グࡉࢀ࡚࠸ࡿࠋࡇࡢࡼ࠺࡟ࠊ㧗➼Ꮫᰯ⌮⛉㸦≀⌮㸧ᩍ⫱࡟࠾࠸࡚㸪㟁☢ㄏᑟ㸪ㄏ ᑟ㉳㟁ຊࡢศ㔝ࡣ㸪⏕ᚐࡀᐇ㦂ࢆ⾜࠸⌮ゎࡍࡿࡇ࡜ࡀ๓ᥦ࡜ࡉࢀ࡚࠸ࡿࡇ࡜࠿ࡽ㸪኱Ꮫධヨࢭࣥࢱ࣮ ヨ㦂ࢆึࡵ࡜ࡍࡿྛ኱ᏛධᏛヨ㦂࡛ࡶฟ㢟㢖ᗘࡀ㧗࠸ෆᐜ࡛࠶ࡿࠋࡉࡽ࡟㸪2021 ᖺᗘ࠿ࡽࢭࣥࢱ࣮ヨ 㦂࡟ኚࢃࡿ኱Ꮫධヨඹ㏻ࢸࢫࢺ㸦᪂ࢸࢫࢺ㸧࡛ࡶ㸪ᨵゞᏛ⩦ᣦᑟせ㡿࡟ἢࡗ࡚㟁☢ㄏᑟ㸪ㄏᑟ㉳㟁ຊࡢ ᐇ㦂ࢆྲྀࡾධࢀࡓฟ㢟ࡀண᝿ࡉࢀ࡚࠸ࡿࠋ 㮵ඣᓥ኱Ꮫ⌮Ꮫ㒊ࡣ㸪ᖹᡂ28 ᖺᗘ࠿ࡽࠕ࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍ࠖ࡜ࡢඹദ࡛ࢧ࢖࢚ࣥࢫ࣭ࣃ࣮ࢺ ࢼ࣮ࢩࢵࣉ࣭ࣉࣟࢢ࣒ࣛ㸦SPP㸧ࢆᐇ᪋ࡋ㸪㧗➼Ꮫᰯࡢ⏕ᚐࢆᑐ㇟࡟᪂ࡋ࠸⌮⛉ᩍ⫱࡟ᑐᛂࡍࡿᐇ㊶ⓗ ࡞ྲྀࡾ⤌ࡳࢆ⾜ࡗ࡚࠸ࡿࠋ➹⪅ࡽࡣSPP ࡢ୍⎔࡜ࡋ࡚㸪⏕ᚐࡀࢥ࢖ࣝ࡟⏕ࡌࡿ㉳㟁ຊࡢ኱ࡁࡉࢆ☢▼ ࡀࢥ࢖ࣝࢆ㈏㏻ࡍࡿ㏿ࡉ࡜ࢥ࢖ࣝࡢᕳࡁᩘ࡜ࡢ㛵ಀ࡜ࡋ࡚ㄪ࡭ࠊㄏᑟ㉳㟁ຊࡢ⌧㇟ࢆ࢜ࢩࣟࢫࢥ࣮ࣉ ࢆ⏝࠸࡚どぬⓗ࡛࠿ࡘᐃ㔞ⓗ࡟⌮ゎ࡛ࡁࡿᐇ㦂࢟ࢵࢺࢆ㛤Ⓨࡋࡓࠋ ࡲ࡜ࡵ  ௒ᅇᡃࠎࡣ㸪ᅗ_{1 ࡛♧ࡋࡓㄏᑟ㉳㟁ຊᐇ㦂࢟ࢵࢺࢆ㛤} Ⓨࡋ㸪☢᮰ࢆⓎࡍࡿ☢▼ࡢⴠୗ㸪☢▼ࡢࢥ࢖ࣝ㏻㐣㸪࢜ ࢩࣟࢫࢥ࣮ࣉࢆ㏻ࡋࡓἼᙧ࡞࡝⏕ᚐ࡟どぬⓗ࡟ㄏᑟ㉳㟁 ຊࢆ⌮ゎ࡛ࡁࡿࡇ࡜ࢆ♧ࡋࡓ[6]ࠋࡉࡽ࡟ᤵᴗ࡛࢜ࢩࣟࢫ ࢥ࣮ࣉࡢᩘ್ࢆㄞࡳྲྀࡾ㸪⾲ࢆసᡂࡋࢢࣛࣇ໬ࡍࡿࡇ࡜ ࡟ࡼࡗ࡚㸪ㄏᑟ㉳㟁ຊࡢ኱ࡁࡉࡣ☢▼ࡢ㏿ࡉ࡜ࢥ࢖ࣝࡢ ᕳࡁᩘ࡜ẚ౛ࡍࡿࡇ࡜ࢆᐃ㔞ⓗ࡟ࡶ⌮ゎࢆ῝ࡵࡽࢀࡿࠋ 2019 ᖺ 8 ᭶࡟㮵ඣᓥ኱Ꮫ⌮Ꮫ㒊࡛㛤ദࡉࢀࡓ SPP ࡛ࡢ ᮏ࢟ࢵࢺࢆ౑ࡗࡓᐇ㦂ࡢᵝᏊࢆᅗ7 ࡟♧ࡍࠋᏛᰯࡢ␗࡞ࡿ 㧗ᰯ⏕㸲ྡࡀ㸯ࡘࡢࢳ࣮࣒࡜࡞ࡗ࡚㸪㸷ࢳ࣮࣒࡛ᐇ㦂ࢆ⾜࡞ࡗࡓࠋࡲࡓ㸪ከࡃࡢ㧗ᰯ⌮⛉ᩍဨࡢཧຍࡶ ࠸ࡓࡔ࠸ࡓࠋᐇ㦂ᚋ㸪⏕ᚐࡽࡣ㆟ㄽࡸ࢖ࣥࢱ࣮ࢿࢵࢺࢆ౑ࡗࡓ㈨ᩱ཰㞟ࡋ㸪᭱ᚋ࡟◊✲Ⓨ⾲ࢆ⾜࡞ࡗ ࡓࠋ SPP ࡟ཧຍࡋࡓ⏕ᚐࡸᩍဨࡣ௒ᅇࡢᐇ㦂࢟ࢵࢺࢆ฼⏝ࡋࡓ◊✲άື࡟㛵ࡋ࡚㸪ḟࡢࡼ࠺࡞ឤ᝿ࡸព ぢࢆ㏙࡭ࡓ[7]ࠋ ձ ኱Ꮫཷ㦂ࡢ≀⌮ࡢຮᙉ࡟࡜࡚ࡶᙺ❧ࡘ࡜ᛮ࠸ࡲࡍࠋ ղ ࡇࡢᐇ㦂ࡢ㐨ලࡣᡭసࡾ࡞ࡢ࡛㸪࡝ࡢࡼ࠺࡟ࡋࡓࡽࡇࡢࡼ࠺࡟⿦⨨ࢆᏳࡃసࡗ࡚ᐇ㦂ࡍࡿࡇ࡜ ࡀ࡛ࡁࡿ࠿ࡢⰋ࠸ຮᙉࡢᶵ఍ࡔ࡜ᛮ࠸ࡲࡍࠋ ճ ௒ᚋࡣ㸪ࠕ⪃࠼ࡿࡇ࡜ࠖࢆ኱ษ࡟ࡋ㸪ᵝࠎ࡞ࡇ࡜࡟⯆࿡࣭㛵ᚰࢆᣢࡕ㸪⮬ศࡢពぢࢆᣢࡘࡇ࡜ࢆ 㐍ࢇ࡛ࡸࡗ࡚࠸ࡁࡓ࠸࡛ࡍࠋ մ ࡇࢀࡲ࡛ࡢ⮬ศ࡟࡞࠸ど㔝ࢆᗈࡆࡿࡇ࡜ࡀ࡛ࡁࡲࡋࡓࠋ յ ௒ᅇࡢㅮᗙ࡛ࡣࡓࡃࡉࢇࡢࡇ࡜ࢆ▱ࡿ࡜ྠ᫬࡟㸪ࢳ࣮࣒࣮࣡ࢡࡸ༠ㄪᛶࡢ኱ษࡉࢆឤࡌࡓࠋࡇ ࡢㅮᗙ࡛Ꮫࢇࡔࡇ࡜ࢆ௒ᚋࡢᏛᰯ⏕ά࡟⏕࠿ࡋ࡚࠸ࡁࡓ࠸࡜ᛮ࠸ࡲࡍࠋ ௒ᅇ㛤Ⓨࡋࡓㄏᑟ㉳㟁ຊᐇ㦂࢟ࢵࢺࡀከࡃࡢᏛᰯ࡛฼⏝ࡉࢀ㸪⌮⛉ᩍ⫱࡟ᙺ❧ࡘࡇ࡜ࢆ㢪࠺ࠋ ㅰ㎡ SPP ͺɾࣝࣉౣ୉ָཀྵָ෨ͳ͖͟͢ΉةۂՊިླྀڢճͳ͹ڠ࠷Ͳࣰࢬͪ͢΍͹Ͳ͍ΖɽةۂՊިླྀ ڢճͶͺࣰݩͶؖΚΖસͱ͹ܨඇΝෝ୴͢ͱ͏ͪͫ͏ͪɽ͠ΔͶɾߪ࠴͹߁ๅΏࣰࢬགྷߟ͹ࡠ੔͵ʹɾ ౲ڢճ͹ࣆແۃͶસ໚దͶࢩԋ͢ͱ͏ͪͫ͏ͪɽߪ࠴͹श྅Ͷ౲ͪΕɾ޲͚͕ླΝਅ͢फ़΄Ήͤɽ͵ ͕ɾࢂՅͪ͢ਫ਼ైͳ߶౵ָߏ͹Ӏི͹઎ਫ਼๏ɾTA ͳ͢ͱࣰݩ͹ึঁࢨ಍Ν͢ͱ͏ͪͫ͏ͪࣝࣉౣ୉ָ ୉ָӅཀྵ޽ָݜڂՌ͹ָਫ਼Ͷ΍ःқΝන͢Ήͤɽ ཧ⪃ᩥ⊩ [1] ⽂㒊⛉Ꮫ┬ࠕ高➼ᏛᰯᏛ⩦ᣦᑟせ㡿ゎㄝ (⌮ᩘ⦅)ࠖ㸦ᖹᡂ 30 ᖺ 7 月㸧. [2] ࢣࢽࢫᰴᘧ఍♫㸸https://www.kenis.co.jp/products/catalogue/ [3] ࣑ࣖ࢞ᰴᘧ఍♫㸸http://ec.yagami-inc.co.jp/shop/default.aspx㸧 [4] ၨᯘ㤋ࠕ≀⌮ᇶ♏ࠖ高➼Ꮫᰯᩍ⛉᭩㸦ᖹᡂ 23 ᖺ㸧 [5] ཎᗣኵࠕ≀⌮Ꮫᇶ♏ࠖ➨஬∧ P267㸫273 [6] ᑠᒣె୍㸪℈ᓮ㈉㸪㝞㯇㸪୕஭ዲྂ㸪ᑠཎ┈ᕫ㸪ᒣཱྀග⮧㸸≀⌮Ꮫᐇ㦂࢟ࢵࢺ㸪≉㢪 2020-007200 [7] ࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍ࠕ⏘Ꮫ㐃ᦠ 㧗኱᥋⥆ㅮᗙࠖ௧࿴ඖᖺᗘ  ਦ  ਫ਼ై͹ࣰݩ͹༹ࢢ

☢▼ⴠୗᘧㄏᑟ㉳㟁ຊᐇ㦂࢟ࢵࢺࡢ㛤Ⓨ࡜⏕ᚐᐇ㦂

Development of Induced Electromotive Force Measuring Device by the

Magnet-fall and Student Experiments with This

㝞㯇_{࣭ℊ㷂㈉}㸯㸧_{࣭ᒣཱྀග⮧}㸰㸧_{࣭ᑠཎ┈ᕫ}_{࣭୕஭ዲྂ}㸯㸧_{࣭ᑠᒣ ె୍}㸰㸧 _

Li CHEN 1)_{, Mitsugi HAMASAKI} 1)_{, Mitsuomi YAMAGUCHI} 2)_{, Masumi OBARA} 3)_{,Yoshifuru MITSUI} 4)_,

Keiichi KOYAMA 4)_,ː

_{㮵ඣᓥ኱Ꮫඹ㏻ᩍ⫱ࢭࣥࢱ࣮}

1)_{Education Center, Kagoshima University}

_{࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍}

2)_{Kagoshima Enterprise Exchange Society}

_{ཎ⏣Ꮫᅬ㮵ඣᓥ᝟ሗ㧗➼Ꮫᰯ}

3)_{Kagoshima JOHO High School, Harada Academy}

_{㮵ඣᓥ኱Ꮫ኱Ꮫ㝔⌮ᕤᏛ◊✲⛉}

4) _{Graduate School of Science and Engineering, Kagoshima University}

* [email protected]

Abstract: The basic learning of electromagnetic induction is to understand the relationship between the magnitude

and direction of the induced electromotive force by changing the magnetic flux, but this cannot be visually grasped as a phenomenon. This is the reason why it is difficult for students to understand the concept of electromagnetic induction. It is required to develop an experimental kit that allows students to understand visually and quantitatively through experiments. In this work, we developed an “induced electromotive force experiment kit” for high school students and taught high school students about electromagnetic induction experiments using this kit. In this report, we outline the experiment kit and our project class of high school/university connection.

Keywords: Electromagnetic induction, Magnetic flux, Lenz’s Law, Number of coil-turns

㸯 ࡣࡌࡵ࡟ 2022 ᖺᗘ࠿ࡽᐇ᪋ࡉࢀࡿḟᮇᏛ⩦ᣦᑟせ㡿ࡣ㸪ࠕ⮬↛ࡢ஦≀࣭⌧㇟ࢆ㸪㉁ⓗ࣭㔞ⓗ࡞㛵ಀࡸ᫬㛫ⓗ࣭ ✵㛫ⓗ࡞㛵ಀࢆ⛉Ꮫⓗ࡞どⅬ࡛ᤊ࠼㸪㸦୰␎㸧᥈✲ࡍࡿ᪉ἲࢆ⏝࠸࡚⪃࠼ࡿࡇ࡜ࠖ࡜୺ᙇࡋ࡚࠸ࡿࠋࡇ ࢀࢆ㋃ࡲ࠼࡚ᨵゞ㧗➼ᏛᰯᏛ⩦ᣦᑟせ㡿⌮⛉ゎㄝ㸦⌮⛉⦅㸧[1]࡟ࡣ㸪㟁☢ㄏᑟ࡟㛵ࡍࡿᐇ㦂࡜ࡋ࡚㸪 ౛࠼ࡤࢥ࢖ࣝࢆ㈏ࡃ☢᮰ࢆኚ໬ࡉࡏࡓ࡜ࡁ࡟Ⓨ⏕ࡍࡿࠕㄏᑟ㉳㟁ຊࡢྥࡁ࡜኱ࡁࡉࠖࢆண᝿ࡉࡏࡓୖ ࡛㸪ࠕ࢜ࢩࣟࢫࢥ࣮ࣉ࡛ㄪ࡭ࡿᐇ㦂ࢆ⾜࠸ࠖ㸪☢᮰ࡢኚ໬࡜ㄏᑟ㉳㟁ຊࡢྥࡁࡸ኱ࡁࡉ࡜ࡢ㛵ಀࢆぢฟ ࡋ࡚⌮ゎࡉࡏࡿ㸪࡜᫂グࡉࢀ࡚࠸ࡿࠋࡇࡢࡼ࠺࡟ࠊ㧗➼Ꮫᰯ⌮⛉㸦≀⌮㸧ᩍ⫱࡟࠾࠸࡚㸪㟁☢ㄏᑟ㸪ㄏ ᑟ㉳㟁ຊࡢศ㔝ࡣ㸪⏕ᚐࡀᐇ㦂ࢆ⾜࠸⌮ゎࡍࡿࡇ࡜ࡀ๓ᥦ࡜ࡉࢀ࡚࠸ࡿࡇ࡜࠿ࡽ㸪኱Ꮫධヨࢭࣥࢱ࣮ ヨ㦂ࢆึࡵ࡜ࡍࡿྛ኱ᏛධᏛヨ㦂࡛ࡶฟ㢟㢖ᗘࡀ㧗࠸ෆᐜ࡛࠶ࡿࠋࡉࡽ࡟㸪2021 ᖺᗘ࠿ࡽࢭࣥࢱ࣮ヨ 㦂࡟ኚࢃࡿ኱Ꮫධヨඹ㏻ࢸࢫࢺ㸦᪂ࢸࢫࢺ㸧࡛ࡶ㸪ᨵゞᏛ⩦ᣦᑟせ㡿࡟ἢࡗ࡚㟁☢ㄏᑟ㸪ㄏᑟ㉳㟁ຊࡢ ᐇ㦂ࢆྲྀࡾධࢀࡓฟ㢟ࡀண᝿ࡉࢀ࡚࠸ࡿࠋ 㮵ඣᓥ኱Ꮫ⌮Ꮫ㒊ࡣ㸪ᖹᡂ28 ᖺᗘ࠿ࡽࠕ࠿ࡈࡋࡲ௻ᴗᐙ஺ὶ༠఍ࠖ࡜ࡢඹദ࡛ࢧ࢖࢚ࣥࢫ࣭ࣃ࣮ࢺ ࢼ࣮ࢩࢵࣉ࣭ࣉࣟࢢ࣒ࣛ㸦SPP㸧ࢆᐇ᪋ࡋ㸪㧗➼Ꮫᰯࡢ⏕ᚐࢆᑐ㇟࡟᪂ࡋ࠸⌮⛉ᩍ⫱࡟ᑐᛂࡍࡿᐇ㊶ⓗ ࡞ྲྀࡾ⤌ࡳࢆ⾜ࡗ࡚࠸ࡿࠋ➹⪅ࡽࡣSPP ࡢ୍⎔࡜ࡋ࡚㸪⏕ᚐࡀࢥ࢖ࣝ࡟⏕ࡌࡿ㉳㟁ຊࡢ኱ࡁࡉࢆ☢▼ ࡀࢥ࢖ࣝࢆ㈏㏻ࡍࡿ㏿ࡉ࡜ࢥ࢖ࣝࡢᕳࡁᩘ࡜ࡢ㛵ಀ࡜ࡋ࡚ㄪ࡭ࠊㄏᑟ㉳㟁ຊࡢ⌧㇟ࢆ࢜ࢩࣟࢫࢥ࣮ࣉ ࢆ⏝࠸࡚どぬⓗ࡛࠿ࡘᐃ㔞ⓗ࡟⌮ゎ࡛ࡁࡿᐇ㦂࢟ࢵࢺࢆ㛤Ⓨࡋࡓࠋ Appendix ᮏ࢟ࢵࢺࡢᛂ⏝ ࡇࡢ࢟ࢵࢺࡣ⏕ᚐ࡟㟁☢ㄏᑟࡢ஦㇟ࢆ㸪࢜ࢩࣟࢫࢥ࣮ࣉࡢἼᙧ ࢆ࡜࠾ࡋ࡚⌮ゎࡉࡏࡿࡇ࡜ࢆ୺࡞┠ⓗ࡜ࡋ࡚㛤Ⓨࡋࡓࡶࡢ࡛࠶ࡿ ࡀ㸪ḟࡢࡼ࠺࡞ຊᏛⓗ஦㇟ࢆ☜ㄆࡍࡿࡇ࡜ࡶྍ⬟࡛࠶ࡿࠋ (1) ࡤࡡ᣺ࡾᏊ࡟ࡼࡿ᣺ື ᅗA1 ࡣ㸪ࢥ࢖ࣝࡤࡡ࡟ࢿ࢜ࢪ࣒☢▼࡟ࡼࡿࡤࡡ᣺ࡾᏊ⿦⨨࡛ ࠶ࡿࠋᅗ A2 ࡣ㸪ࡤࡡ᣺ࡾᏊ⿦⨨࡟ࡼࡿ㉳㟁ຊࡢᵝᏊࢆ࢜ࢩࣟࢫ ࢥ࣮ࣉ࡛ほ ࡋࡓࡶࡢ࡛࠶ࡿࠋ ☢▼ࡢ᣺ືࡀ࿘ᮇⓗ࡛࠶ࡿࡇ࡜࡜㸪ᐃᛶⓗ࡛ࡣ࠶ࡿࡀ᣺ືࡀῶ ⾶ࡋ࡚࠸ࡿࡇ࡜ࡀ☜ㄆ࡛ࡁࡿࠋࢿ࢜ࢪ࣒☢▼ࡢ㉁㔞ࡀ୚࠼ࡽࢀࢀ ࡤ㸪᣺ືࡢ࿘ᮇࢆ ᐃࡋ࡚ࡤࡡࡢࣂࢿᐃᩘࢆồࡵࡿࡇ࡜ࡀ࡛ࡁࡿࠋ ࡤࡡ࡟ୖୗࡍࡿእຊࡢຍ᣺ᶵᵓࢆ௜ຍࡍࢀࡤ㸪᣺ᖜࡀ୍ᵝ࡞༢ ᣺ືࢆほ ࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋࡲࡓ㸪ຍ᣺ᶵᵓࡢ⧞ࡾ㏉ࡋࡢ᣺ື ᩘࢆࡤࡡࡢᅛ᭷᣺ືᩘ࡟୍⮴ࡉࡏࢀࡤ㸪ඹ᣺⌧㇟ࢆほ ࡍࡿࡇ࡜ ࡀ࡛ࡁࡿࠋࡉࡽ࡟㸪ࡤࡡ࡟ࢲࣥࣃࢆ௜ຍࡋࡑࡢῶ⾶ẚࢆኚ໬ࡉࡏ ࡿࡇ࡜࡟ࡼࡗ࡚㸪␗࡞ࡿῶ⾶᣺ືࡀほ ࡛ࡁࡿࠋ (2) ༢᣺ࡾᏊ࡟ࡼࡿ᣺ື ᅗA3 ࡣ㸪࢔ࢡࣜࣝࣃ࢖ࣉࢆྲྀࡾ㝖ࡁ㸪༢᣺ࡾᏊ࡜ࢥ࢖ࣝࢆ⤌ ࡳྜࢃࡏࡓ༢᣺ࡾᏊ⿦⨨࡛࠶ࡿࠋࢿ࢜ࢪ࣒☢▼ࡢ᣺ືࡢᵝᏊࡣ㸪 ࢜ࢩࣟࢫࢥ࣮ࣉ࡟ࡼࡗ࡚㸪ᅗ A2 ࡜ྠᵝࡢ㉳㟁ຊࡢἼᙧࢆほ ࡛ ࡁࡿࠋࡇࡇ࡛ࡶ㸪᣺ࡾᏊࡢ㛗ࡉࡀ୚࠼ࡽࢀࢀࡤ㸪᣺ືࡢ࿘ᮇࢆ  ᐃࡋ࡚㸪㔜ຊຍ㏿ᗘࢆồࡵࡿࡇ࡜ࡀ࡛ࡁࡿࠋ  ਦ $ ͻ͸৾Εࢢݰਲ৾ಊૹ஖   ਦ $ ࣕ੶͹৾ಊͶΓΖًుྙͺܧ ͹ݰਲ৾ಊ   ਦ $ ୱ৾Εࢢૹ஖