A) 20 V
B) 80 V
C) 120 V
D) 100 V
Correct Answer: B
Solution :
\[i={{i}_{0}}\left( 1-{{e}^{-\frac{Rt}{L}}} \right)\]\[\Rightarrow \frac{di}{dt}=-{{i}_{0}}\left( -\frac{R}{L} \right){{e}^{-\frac{Rt}{L}}}=\frac{{{i}_{0}}R}{L}.{{e}^{-\frac{Rt}{L}}}\] At t = 0 ; \[\frac{di}{dt}=\frac{{{i}_{0}}R}{L}=\frac{E}{L}\]\[\Rightarrow 4=\frac{E}{20}\Rightarrow E=80\ V\]
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