In the circuit shown below, the current through inductor is zero when battery is not connected $(t < 0)$ . At $t = 0$ , switch $S_{1}$ is also closed, then which of the following is true just after time $t_{1}$ ?

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Current through resistor $R_{1}$ increases

Current through resistor $R_{2}$ increases

Current through the battery increases

Current through resistor L increases

answer is A, D.

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Detailed Solution

Potential difference across $R_{1}$ increases $∴ i_{R_{1}} ↑$
Potential difference across $R_{2}$ increases $∴ i_{R_{2}} ↑$ remains unchanged
Potential difference across $L = 0 \Rightarrow \frac{L d i_{L}}{d t} = 0$
$\Rightarrow i_{L} =$ constant
$i_{b a t t e r y} = i_{R_{1}} + i_{R_{2}} \Rightarrow$ Increases