Electro Magnetic Induction And Alternating Currents Question 369

Question: A 50 turns circular coil has a radius of $ 3\ cm $ , it is kept in a magnetic field acting normal to the area of the coil. The magnetic field $ B $ increased from 0.10 tesla to 0.35 tesla in 2 milliseconds. The average induced e.m.f. in the coil is [MP PET 1994]

Options:

A) $ 1.77\ volts $

B) $ 17.7\ volts $

C) $ 177\ volts $

D) $ 0.177\ volts $

Show Answer

Answer:

Correct Answer: B

Solution:

$ e=-\frac{N(B_{2}-B_{1})A\cos \theta }{\Delta t} $ $ =-\frac{50(0.35-0.10)\times \pi {{(3\times {{10}^{-2}})}^{2}}\times \cos 0^{o}}{2\times {{10}^{-3}}} $ $ ,=17.7\ V $ .



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