F5 Electromagnetic Induction

2012-01-22 10:36 pm
A coil of 50 turns is placed in a constant magnetic field of 0.4T. It turns 180° in 0.2s. What is the e.m.f. induced across its terminals if the area of the coil is 0.03㎡?

I calculated as follow:
50x0.4x0.03x5Πxsin5Πx0.4 but I got a wrong answer.
The correct answer is 6V. Could you please teach me how to do it?

回答 (1)

2012-01-23 2:04 am
✔ 最佳答案
Assume the plane of the coil initially lies parallel to the magnetic field lines. It takes 00.2 s to turn 180°, i.e. 0.1 s to turn 90°.

Hence, increase in magnetic flux linkage = 50 x 0.03 x 0.4 wb = 0.6 w
Induced emf, by Faraday's Law, = 0.6/0.1 v = 6 v


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