| Assertion: The quantity L/R opposses dimension of time. |
| Reason: To reduce the rate of increases of current through a solenoid should increase the time constant \[\left( \frac{L}{R} \right)\]. |
A) If both assertion and reason are true and reason is the correct explanation of assertion.
B) If both assertion and reason are true and reason is not the correct explanation of assertion.
C) if assertion is true but reason is false.
D) If both assertion and reason are false.
E) If assertion is false but reason is true.
Correct Answer: B
Solution :
The relation of induced e.m.f. is \[e=\frac{Ldi}{dt}\]and current i is given by \[i=\frac{e}{R}=\frac{1}{R}.\frac{Ldi}{dt}\] \[\Rightarrow \,\,\frac{di}{dt}=i\,\frac{R}{L}=\frac{i}{\frac{L}{R}}\]. In order to decreases the rate of increase of current through solenoid. We have to increase the time constant \[\frac{L}{R}\].
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