Electro Magnetic Induction And Alternating Currents Question 391

Question: The magnetic flux linked with a coil at any instant ?t? is given by f = 5t3 ? 100t + 300, the e.m.f. induced in the coil at t = 2 second is [KCET 2003]

Options:

A) ? 40 V

B) 40 V

C) 140 V

D) 300 V

Show Answer

Answer:

Correct Answer: B

Solution:

$ e=-\frac{d\varphi }{dt}=-\frac{d}{dt}( 5t^{3}-100t+300 ) $ $ =-(15t^{2}-100) $ at t = 2sec ; e = 40 V



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