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

MCQ

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:

A
$V_a=V_b$
B
$V_a < V_b$
✓
$V_a > V_b$
D
$i_a=i_b$

✓

Answer

Correct option: C.

$V_a > V_b$

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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