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Q. In the circuit shown in the figure, $R$ is a pure resistor, $L$ is an inductor of negligible resistance (as compared to $R$ ), $S$ is a $100\, V , 50\, Hz$ ac source of negligible resistance. With either key $K_{1}$ alone or $K_{2}$ alone closed, the current is $I_{0}$. If the source is changed to $100 \,V , 100 \,Hz$ the current with $K_{1}$ alone closed and with $K_{2}$ alone closed will be, respectively,
image

Alternating Current

Solution:

Current remains unchanged in $R$. However, it becomes half in $L$, because reactance is doubled on doubling the frequency.