Electro Magnetic Induction And Alternating Currents Question 397

Question: The magnetic flux linked with coil, in weber is given by the equation, φ=5t2+3t+16 . The induced emf in the coil in the fourth second is [Pb. PMT 2004]

Options:

A) 10 V

B) 30 V

C) 45 V

D) 90 V

Show Answer

Answer:

Correct Answer: A

Solution:

|e|,=dφdt=ddt(5t2+3t+16)=(10t+3)

when t=3sec, e3=(10×3+3)=33 V

when t=4sec, e4=(10×4+3)=43 V

Hence emf induced in fourth second =e4e3=4333=10 V



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