The current (I) in the inductance is varying with time according to the plot shown in figure. |
[AIPMT (S) 2012] |
Which one of the following is the correct variation of voltage with time in the coil? |
A)
B)
C)
D)
Correct Answer: D
Solution :
For inductor as we know induced voltage |
For \[t=0\] to \[t=T/2\] |
\[V=L\frac{dI}{dt}=L\frac{d}{dt}\left( \frac{2{{I}_{0}}t}{T} \right)=\text{constant,}\] |
For \[t=T/2\] to \[t=T\] |
\[V=\frac{L\,dI}{dt}\left( \frac{-2{{I}_{0}}t}{T} \right)=-\text{constant}\] |
Therefore, answer will represents by graph [d]. |
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