A) \[30\,\pi V\]
B) \[60\,\pi V\]
C) \[15\,\pi V\]
D) \[300\,\pi V\]
E) \[3\,\pi V\]
Correct Answer: A
Solution :
\[M=150\times {{10}^{-3}}H\] \[i=2A\] \[f=50\,Hz\] Induced voltage, \[e=\frac{d\phi }{dt}\] \[=\frac{d}{dt}(Mi)=\frac{d}{dt}(M{{i}_{0}}\sin \omega t)\omega \cos \omega t\] e is maximum when \[\cos \omega t=1\] \[\therefore \] \[e=M{{i}_{0}}\omega \] \[=150\times {{10}^{-3}}\times i\times 2\pi f\] \[=150\times {{10}^{-3}}\times 2\times 2\pi \times 50\] \[=30\text{ }\pi V\]
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