First slide

Time -Varying current in L-R circuit

Question

The resistance in the following circuit is increased at a particular instant. At this instant the value of resistance is $10 Ω$ . The current in the circuit will be now

Moderate

A

$i = 0.5 A$
B

$i > 0.5 A$
C

$i < 0.5 A$
D

$i = 0$

Solution

If resistance is constant $(10 Ω),$ then steady current in the circuit $i = \frac{5}{10} = 0.5 A$ But resistance is increasing it means current through the circuit start decreasing. Hence, inductance comes in picture which induces a current in the circuit in the same direction of main current. So $i > 0.5 A .$

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