1. A bolt of lightning strikes the ground 200 m from a 100-turn coil oriented vertically and with the plane of the coil pointing toward the lightning strike. The radius of the coil is 0.800 m and the current in the lightning bolt falls from 6.00 × 10⁶ A to zero in 10.5 μs. What is the voltage induced in the coil over this time period?

詳解 (共 1 筆)

助人為本
助人為本
詳解 #7418170
2026/06/24
所以我們要先把閃電視為是一個長直導線
6a3b37e240e7b.jpg
所以因為閃電視為長直導線,所以我們要代長直導線的磁場公式
就是u0i/2pi*r
再來算磁場變化率
6a3b383e96e37.jpg
再來算線圈面積
用圓面積pi*r^2來算
所以把它結合在一起變成感應電壓公式
6a3b388c1c0fb.jpg
然後再做化簡
6a3b38a2714fc.jpg
ㅤㅤ