Electro Magnetic Induction And Alternating Currents Question 449

Question: A coil having n turns and resistance $ R\Omega $ . Is connected with a galvanometer of resistance $ 4R,\Omega $ . This combination is moved in time t second from a magnetic flux $ {\phi_{1}} $ weber to $ {\phi_{2}} $ weber. The induced current in the circuit is

Options:

A) $ -\frac{{\phi_{2}}-{\phi_{1}}}{5,Rnt} $

B) $ -\frac{n({\phi_{2}}-{\phi_{1}})}{5,Rt} $

C) $ -\frac{({\phi_{2}}-{\phi_{1}})}{,Rnt} $

D) $ -\frac{n({\phi_{2}}-{\phi_{1}})}{,Rt} $

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Answer:

Correct Answer: B

Solution:

  • The change in flux $ =n({\phi_{2}}-{\phi_{1}}) $

Total resistance of the circuit $ =4R+R=5R $

Thus induced current, $ i=\frac{\Delta \phi /\Delta t}{R}=\frac{n({\phi_{2}}-{\phi_{1}})}{5RT} $



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