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Question

A series R-C circuit is connected to an alternating voltage source. Consider two situations:
(a) When capacitor is filled with air
(b) When capacitor is filled with mica
Current through resistor is i and voltage across capacitor is Va in case (a) and Vb in case (b), then

A
Va=Vb
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B
Va<Vb
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C
Va>Vb
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D
ia=ib
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Solution

The correct option is C Va>Vb
For series C-R circuit, the impedance Z=R2+X2C, where XC=iωC and current I=V/Z
When the capacitor is filled by mica, the capacitance will be increased. If C increases, XC decreases, so the current will increase and
hence voltage across resistance increases and voltage across capacitor decreases. Thus, Va>Vb

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