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In series RLC circuit, the voltage across capacitor and inductor are ______ with each other.
- a)in phase
- b)180⁰ out of phase
- c)90⁰ out of phase
- d)45⁰ out of phase
Correct answer is option 'B'. Can you explain this answer?
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In series RLC circuit, the voltage across capacitor and inductor are _...
In series RLC circuit, the voltage across capacitor and inductor are 180⁰ out of phase with each other. The frequency at which the resonance occurs is called resonant frequency.
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In series RLC circuit, the voltage across capacitor and inductor are _...
Introduction:
An RLC circuit is a circuit that consists of a resistor (R), an inductor (L), and a capacitor (C) connected in series. When an alternating current (AC) is applied to the circuit, the voltage across the resistor, capacitor, and inductor will exhibit different phase relationships.
Explanation:
In an RLC circuit, the voltage across the capacitor and inductor are 180 degrees out of phase with each other. This means that when the voltage across the capacitor is at its maximum, the voltage across the inductor will be at its minimum, and vice versa.
Phase Relationships:
To understand why the voltage across the capacitor and inductor are 180 degrees out of phase, we need to consider the behavior of these components in an AC circuit.
1. Capacitor:
- A capacitor stores electrical energy in an electric field.
- When an AC voltage is applied to a capacitor, it charges and discharges according to the frequency of the AC signal.
- The voltage across the capacitor lags behind the current flowing through it by 90 degrees. This means that when the current is at its maximum, the voltage across the capacitor is at its minimum (and vice versa).
2. Inductor:
- An inductor stores electrical energy in a magnetic field.
- When an AC voltage is applied to an inductor, it induces a current flow through the coil.
- The voltage across the inductor leads the current flowing through it by 90 degrees. This means that when the current is at its maximum, the voltage across the inductor is at its maximum (and vice versa).
Combining Capacitor and Inductor:
- When a capacitor and an inductor are connected in series, the voltage across each component is determined by the current flowing through the circuit.
- Since the voltage across the capacitor lags the current by 90 degrees and the voltage across the inductor leads the current by 90 degrees, the voltage across the capacitor and inductor will be 180 degrees out of phase with each other.
- This can be represented by a phasor diagram, where the voltage across the capacitor and inductor are shown as vectors with a phase difference of 180 degrees.
Conclusion:
In conclusion, in an RLC circuit, the voltage across the capacitor and inductor are 180 degrees out of phase with each other. This phase difference arises from the nature of the components (capacitor and inductor) and their response to the applied AC voltage.
An RLC circuit is a circuit that consists of a resistor (R), an inductor (L), and a capacitor (C) connected in series. When an alternating current (AC) is applied to the circuit, the voltage across the resistor, capacitor, and inductor will exhibit different phase relationships.
Explanation:
In an RLC circuit, the voltage across the capacitor and inductor are 180 degrees out of phase with each other. This means that when the voltage across the capacitor is at its maximum, the voltage across the inductor will be at its minimum, and vice versa.
Phase Relationships:
To understand why the voltage across the capacitor and inductor are 180 degrees out of phase, we need to consider the behavior of these components in an AC circuit.
1. Capacitor:
- A capacitor stores electrical energy in an electric field.
- When an AC voltage is applied to a capacitor, it charges and discharges according to the frequency of the AC signal.
- The voltage across the capacitor lags behind the current flowing through it by 90 degrees. This means that when the current is at its maximum, the voltage across the capacitor is at its minimum (and vice versa).
2. Inductor:
- An inductor stores electrical energy in a magnetic field.
- When an AC voltage is applied to an inductor, it induces a current flow through the coil.
- The voltage across the inductor leads the current flowing through it by 90 degrees. This means that when the current is at its maximum, the voltage across the inductor is at its maximum (and vice versa).
Combining Capacitor and Inductor:
- When a capacitor and an inductor are connected in series, the voltage across each component is determined by the current flowing through the circuit.
- Since the voltage across the capacitor lags the current by 90 degrees and the voltage across the inductor leads the current by 90 degrees, the voltage across the capacitor and inductor will be 180 degrees out of phase with each other.
- This can be represented by a phasor diagram, where the voltage across the capacitor and inductor are shown as vectors with a phase difference of 180 degrees.
Conclusion:
In conclusion, in an RLC circuit, the voltage across the capacitor and inductor are 180 degrees out of phase with each other. This phase difference arises from the nature of the components (capacitor and inductor) and their response to the applied AC voltage.
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