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Question

In an LCR series circuit ܴR=1Ω, and XC=1000 Ω and ܺXC=1000 Ω. A source of 100 mV is connected in the circuit the current in the circuit is_______ (in milli Ampere)

A
100.0
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B
100
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C
100.00
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Solution

Given:
R=1 Ω ; XL=1000 Ω ; XC=1000 Ω ; V=100 mV

XL=XC (From the data given in the question)

It is a resonance condition, then we can conclude that Z=R

I=VZ=VR

Substituting the data given in the question,

I=100×1031=100 mA

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