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Question

A 90Ω resistor, a coil with 30Ω of reactance, and a capacitor with 50Ω of reactance are in series across a 12V ac source. The current through the resistor is

A
9mA
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B
90mA
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C
13mA
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D
130mA
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Solution

The correct option is D 130mA
Resistance=R=90Ω

Reactance of coil=XL=30Ω

Reactance of capacitor=XC=50Ω

Impedance of circuit=X=R2+(XCXL)2

X=902+(5030)2=8100+400

Current=I=EX=128500

I=0.13A=130mA

Answer-(D)

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