The potential difference across a 2H inductor as a function of time is shown in the figure. At time t = 0,current is zero. Choose the correctstatement
A
Current at t = 2 sec is 5A
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B
Current at t = 2 sec is 10 A
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C
Current vs time graph across inductor will be
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D
Current vs time graph across inductor will be
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Solution
The correct options are ACurrent at t = 2 sec is 5A CCurrent vs time graph across inductor will be Area in (VL−t)graph=LΔI ⇒2(if−0)=12×10×2⇒if=5A∫di=1L∫VL.dtFromt=0tot=2sec;VL=5t⇒i=1L[52t2]Fromt=2tot=4sec:VL=−5t+C⇒i=1L[−5t22+ct]