Electro Magnetic Induction And Alternating Currents Question 488

Question: In an inductor of self-inductance L=2mH, current changes with time according to relation i=t2e−t . At what time emf is zero?

Options:

A) 4s

B) 3s

C) 2s

D) Is

Show Answer

Answer:

Correct Answer: C

Solution:

  • L=2mH ,

    i=t2e−t

    E=−Ldidt=−L[−t2e−t+2te−t]

    when E=0,−e−tt2+2te−t=0

    or, 2t,e−t=e−t,t2⇒t=2,sec .

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