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Question

In the given circuit, peak voltage across the resistor and capacitor are 6V and 8V. At an instant when voltage across capacitor is 4V in magnitude,

A
Voltage across resistance is 33 V
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B
Voltage across resistance is 33 V
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C
Peak source voltage is 53
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D
Current in circuit is ahead of source voltage
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Solution

The correct options are
A Voltage across resistance is 33 V
B Voltage across resistance is 33 V
D Current in circuit is ahead of source voltage
VR=VRmaxsin(ωt+θ)=6sin(ωt+θ)
VC=VCmaxcos(ωt+θ)=8cos(ωt+θ)
At an instant, voltage across the capacitor is 4V
8cos(ωt+53)=4cos(ωt+53)=12sin(ωt+53)=±32VR=6sin(ωt+53)=±6×32=±33
Vsource max=V2Rmax+V2Cmax
= 10V
In an RC circuit, current always leads voltage.



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