A) \[27.3\,\,A/s\]
B) \[27.8\,\,A/s\]
C) \[2.73\,\,A/s\]
D) \[2.78\,\,A/s\]
Correct Answer: A
Solution :
Equation of current in \[L-R\] circuit \[I={{I}_{0}}(1-{{e}^{Rt/L}})\] Rate of increase of current \[\frac{dI}{dt}={{I}_{0}}\frac{R}{L}{{e}^{-Rt/L}}\] \[=\frac{V}{L}{{e}^{-Rt/L}}\] \[(\because \,\,V={{I}_{0}}R)\] \[=\frac{50}{5\times {{10}^{-2}}}{{e}^{-(180\times 0.01)/5\times {{10}^{-2}}}}\] \[=27.3\,\,A/s\]
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