JEE MainPhysicsAlternating CurrentNumerical+4 / −1
A series LCR circuit of R = 5 , L = 20 mH and C = 0.5 F is connected across an AC supply of 250 V, having variable frequency. The power dissipated at resonance condition is 102 W.
Numerical answer
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Correct answer: 125
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At resonance in a series LCR circuit
The inductive and capacitive reactances cancel: so the impedance becomes purely resistive:
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Current at resonance
Given:
Therefore,
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Power dissipated at resonance
In a series LCR circuit, only the resistor dissipates power. Thus,
Substituting:
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Match with the required form
The question asks for:
Since
the required integer is:
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Comparison with stored answer
Derived answer =
Stored correct answer =
Hence, they agree.
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