Same current is flowing in two alternating circuits. The first ci… - Vidyadip

MCQ

Same current is flowing in two alternating circuits. The first circuit contains only inductance and the other contains only a capacitor. If the frequency of the e.m.f. of ac is increased, the effect on the value of the current will be

A
Increases in the first circuit and decreases in the other
B
Increases in both the circuits
C
Decreases in both the circuits
✓
Decreases in the first circuit and increases in the other

✓

Answer

Correct option: D.

Decreases in the first circuit and increases in the other

For the first circuit $i=\frac{V}{Z}=\frac{V}{\sqrt{R^2+\omega^2 L^2}}$
$\therefore$ Increase in $\omega$ will cause a decrease in $i$.
For the second circuit $i=\frac{V}{\sqrt{R^2+\frac{1}{\omega^2 C^2}}}$
$\therefore$ Increase in $\omega$ will cause an increase in $i$.

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