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 $ .
