Re: [題目](靜)電磁學
※ 引述《ed78617 (雞爪)》之銘言:
: [領域]靜電、靜磁 (題目相關領域)
: [來源]台大考古題版 (課本習題、考古題、參考書...)
: [題目]
: Which of the following statement(s) is(are) wrong?
: (a) Lorentz force law can be derived from Maxwell's equations.
: (b) If the magnetic monopole exists, it will be possible to violate the
: energy conservation law.
: (c) The electric field E exerts a force on a magnetic charge in the
: direction of its motion.
: (d) The fact that generators generate electric currents is an evidence of
: Faraday's law.
: (e) The flux rule ε = -dΦ/dt is invalid when the magnetic field is
: changing and the loop is moving at the same time.
: [瓶頸] (寫寫自己的想法,方便大家為你解答)
: 我認為(c)錯誤,(d)、(e)正確,問題在a、b
: a的話,記得靜磁的兩個Maxwell eg.是皆是由必歐.沙伐定律導出的,估計是錯誤,但不確定
: b就幾乎沒頭緒了...
: 煩請版上高人解答
關於(a),我的想法是
Biot-Savart law:
μ0 I'ds' × R
B(r)= — ∮c ————
4π R^2
磁力表示為:
F = ∮c Ids × B(r)
上式的力是I'施予I的力
所以可以由Biot-Savart law推出 Lorentz force
參考書籍:Electromagnetic Fields 第14章 Roald.K.Wangness
所以我認為可以從Maxwell推出安培定律,由安培推出Biot-Savart law
再由上述由Biot-Savart law推出 Lorentz force
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