
Energy dissipated in LCR circuit in :
A. L only
B. C only
C. R only
D. All of these
Answer
482.4k+ views
Hint: An RLC circuit is a series or parallel electrical circuit that consists of a resistor (R), an inductor (L), and a capacitor (C). The circuit's name is derived from the letters that are used to indicate the circuit's constituent components, where the component sequence may differ from RLC.
Complete step by step solution:
An LCR circuit, also known as a resonant circuit, tuned circuit, or RLC circuit, is an electrical circuit that consists of a series or parallel connection of an inductor (L), capacitor (C), and resistor (R). In terms of phasors, the LCR circuit analysis may be better understood. A phasor is a quantity that rotates. Because the current across the circuit remains constant for all the components of a series RLC circuit, we utilise it as our reference phasor. Because the phase difference between current and voltage in the case of a resistor is zero, energy is dissipated exclusively through resistance in an LCR circuit.
The circuit acts as a current harmonic oscillator and resonates similarly to an LC circuit. The addition of the resistor causes the oscillations to fade faster, a phenomenon known as damping. The highest resonant frequency is also reduced by the resistor. Even if a resistor is not explicitly included as a component, some resistance is unavoidable in ordinary conditions; an ideal, pure LC circuit exists only in the domain of superconductivity, a physical effect demonstrated to this point only at temperatures and pressures far below and/or far above those found naturally anywhere on the Earth's surface.
Therefore the correct option is (C).
Note:
R, L, and C are three circuit components that may be coupled in a variety of topologies. The simplest notion and the easiest to analyse is all three components in series or all three elements in parallel. Other configurations, however, exist, some of which are useful in real-world circuits. One issue that arises frequently is the necessity to account for inductor resistance. Inductors are often made of wire coils, which have a resistance that isn't always ideal but has a major influence on the circuit.
Complete step by step solution:
An LCR circuit, also known as a resonant circuit, tuned circuit, or RLC circuit, is an electrical circuit that consists of a series or parallel connection of an inductor (L), capacitor (C), and resistor (R). In terms of phasors, the LCR circuit analysis may be better understood. A phasor is a quantity that rotates. Because the current across the circuit remains constant for all the components of a series RLC circuit, we utilise it as our reference phasor. Because the phase difference between current and voltage in the case of a resistor is zero, energy is dissipated exclusively through resistance in an LCR circuit.
The circuit acts as a current harmonic oscillator and resonates similarly to an LC circuit. The addition of the resistor causes the oscillations to fade faster, a phenomenon known as damping. The highest resonant frequency is also reduced by the resistor. Even if a resistor is not explicitly included as a component, some resistance is unavoidable in ordinary conditions; an ideal, pure LC circuit exists only in the domain of superconductivity, a physical effect demonstrated to this point only at temperatures and pressures far below and/or far above those found naturally anywhere on the Earth's surface.
Therefore the correct option is (C).
Note:
R, L, and C are three circuit components that may be coupled in a variety of topologies. The simplest notion and the easiest to analyse is all three components in series or all three elements in parallel. Other configurations, however, exist, some of which are useful in real-world circuits. One issue that arises frequently is the necessity to account for inductor resistance. Inductors are often made of wire coils, which have a resistance that isn't always ideal but has a major influence on the circuit.
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