Electro Magnetic Induction And Alternating Currents Question 451

Question: is a circular loop of radius r and resistance R. A variable magnetic field of induction B=B0et is established inside the coil. If the key (K) is closed, the electrical power developed right after closing the switch is equal to.

Options:

A) B02πr2R

B) B010r3R

C) B02π2r4R5

D) B02π2r4R

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Answer:

Correct Answer: D

Solution:

  • e=dϕdtAdBdt=πr2ddt(B0et)=πr2B0et At t=0 , e=πr2B0 , P=e2R=(πr2B0)2R=π2r4B02R


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