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Question

A 100 volt AC source of angular frequancy 500 rad/s is connected to a LCR circuit with L=0.8 H, C=5 μF and R=10Ω, all connected in series. The potential difference across the resistance is

A
1002volt
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B
100 volt
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C
50 volt
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D
503
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Solution

The correct option is B 100 volt

The impedance of LCR circuit is given as,

Z=[R2+(ωL1ωC)2]

=(10)2+((2×π×500×8.1×103)12×π×500×12.5×106)

=10ohm

The rms value of the current is given as,

Irms=VrmsZ

=10010

=10A

The potential difference across the given resistor is given as,

VR=I×R

=10×10

=100V

Thus, the potential difference across the resistor is 100V.


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