A series R-C circuit is connected to an alternating voltage sourc… - Vidyadip

Question

A series $R-C$ circuit is connected to an alternating voltage source. Consider two situation:
$(a)$ When capacitor is filled
$(b)$ When capacitor is mica filled
Current through resister is $i$ and voltage across capacitor is $V$ then:

✓

Answer

For series $C - R$ circuit, the impedance $\text{Z}=\sqrt{\text{R}^2+\text{X}^2_\text{C}}$ where $\text{X}_\text{C}=\frac{\text{i}}{\omega\text{C}}$ and current $\text{I}=\frac{\text{V}}{\text{Z}}$
When the capacitor is filled by mica, the capacitance will be increased.
If $C$ increases$, X_{C}$ decreases, so the current will increase and
hence voltage across resistance increases and voltage across capacitor decreases. thus$, V_a > V_{b}$

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