Question:

At resonance, $LCR$ series circuit have a minimum current. At resonance, in $LCR$ series circuit, the current and e.m.f are not in phase with each other

Updated On: Jul 28, 2022
  • If both assertion and reason are true and reason is the correct explanation of assertion.
  • If both assertion and reason are true but reason is not the correct explanation of assertion.
  • If assertion is true but reason is false.
  • If both assertion and reason are false.
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The Correct Option is D

Solution and Explanation

At resonance $X_L = X_C$ or $\omega L=\frac{1}{\omega C} .$ Because of this impedance of LCR series circuit become equal to resistance of circuit $\left(Z=\sqrt{R^{2}+\left(X_{L}-X_{C}\right)^{2}}\right).$ Therefore from I $=\frac{E}{Z}=\frac{E}{R},$ at resonance, current in LCR series circuit is maximum. Correspondingly phase angle is also equal to zero. Therefore emf and current are in phase in LCR series circuit.
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Concepts Used:

Alternating Current

An alternating current can be defined as a current that changes its magnitude and polarity at regular intervals of time. It can also be defined as an electrical current that repeatedly changes or reverses its direction opposite to that of Direct Current or DC which always flows in a single direction as shown below.

Alternating Current Production

Alternating current can be produced or generated by using devices that are known as alternators. However, alternating current can also be produced by different methods where many circuits are used. One of the most common or simple ways of generating AC is by using a basic single coil AC generator which consists of two-pole magnets and a single loop of wire having a rectangular shape.

Application of Alternating Current

AC is the form of current that are mostly used in different appliances. Some of the examples of alternating current include audio signal, radio signal, etc. An alternating current has a wide advantage over DC as AC is able to transmit power over large distances without great loss of energy.