Question:
An LCR circuit contains resistance of $110 \Omega$
and a supply of $220 V$ at $300 rad / s$ angular
frequency. If only capacitance is removed from
the circuit, current lags behind the voltage by
$45^{\circ} .$ If on the other hand, only inductor is
removed the current leads by $45^{\circ}$ with the
applied voltage. The $rms$ current flowing in the circuit will be :
An LCR circuit contains resistance of $110 \Omega$
and a supply of $220 V$ at $300 rad / s$ angular
frequency. If only capacitance is removed from
the circuit, current lags behind the voltage by
$45^{\circ} .$ If on the other hand, only inductor is
removed the current leads by $45^{\circ}$ with the
applied voltage. The $rms$ current flowing in the circuit will be :
Updated On: Aug 19, 2024
- $1 A$
- $2.5 A$
- $1.5 A$
- $2 A$
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The Correct Option is D
Solution and Explanation
$\tan 45^{\circ}=\frac{1}{\omega C R}=\frac{\omega L}{R} $
$\Rightarrow X_{L}=X_{C}$
$\Rightarrow$ resonance
$i =\frac{ V }{ R }$
$=\frac{220}{110}=2 A$
$\Rightarrow X_{L}=X_{C}$
$\Rightarrow$ resonance
$i =\frac{ V }{ R }$
$=\frac{220}{110}=2 A$
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Concepts Used:
LCR Circuit
An LCR circuit, also known as a resonant circuit, or an RLC circuit, is an electrical circuit consist of an inductor (L), capacitor (C) and resistor (R) connected in series or parallel.
Series LCR circuit
When a constant voltage source is connected across a resistor a current is induced in it. This current has a unique direction and flows from the negative to positive terminal. Magnitude of current remains constant.
Alternating current is the current if the direction of current through this resistor changes periodically. An AC generator or AC dynamo can be used as AC voltage source.
