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29*. In a circuit consisting of a capacitance and a
generator with alternating emt Eg = Ego sin ot, 29*. In a circuit consisting of a capacitance and a
generator with alternating emt Eg = Ego sin ot,
Vc and Ic are the voltage and current. Correct
phasor diagram for such circuit is
JEE (Main)-2021]
Vc and Ic are the voltage and current. Correct
phasor diagram for such circuit is
JEE (Main)-2021]?
Most Upvoted Answer
29*. In a circuit consisting of a capacitance and agenerator with alte...
Understanding the Circuit with Capacitance and AC Generator
In a circuit consisting of a capacitor and an alternating current (AC) generator, the relationship between voltage (Vc) and current (Ic) is crucial for understanding the phasor diagram.
Key Components of the Circuit
- Capacitance (C): Stores electrical energy in the form of an electric field.
- Alternating EMF (Eg): Given by \(Eg = Ego \sin(ot)\), where \(Ego\) is the peak voltage and \(o\) is the angular frequency.
Phasor Representation
- Voltage (Vc): In a capacitive circuit, the voltage lags behind the current by 90 degrees (or π/2 radians).
- Current (Ic): The current leads the voltage due to the capacitive nature of the circuit.
Correct Phasor Diagram
- Ic Phasor: Represented along the positive x-axis.
- Vc Phasor: Positioned at a -90-degree angle (downward) from the Ic phasor.
Phase Relationship
- Leading Current: The current (Ic) reaches its peak value before the voltage (Vc) does.
- Formula: \(Ic = C \frac{dVc}{dt}\), indicating that the change in voltage over time influences the current in a capacitive circuit.
Visual Representation
- The phasor diagram is a vector representation where:
- The length of the Ic vector represents the current's magnitude.
- The Vc vector, being perpendicular, reflects the voltage's phasor in relation to the current.
Conclusion
Understanding the relationship of current and voltage in a capacitive circuit with an AC generator is essential for analyzing circuit behavior, especially in timing and phase differences that affect performance.
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29*. In a circuit consisting of a capacitance and agenerator with alternating emt Eg = Ego sin ot, 29*. In a circuit consisting of a capacitance and agenerator with alternating emt Eg = Ego sin ot,Vc and Ic are the voltage and current. Correctphasor diagram for such circuit isJEE (Main)-2021]Vc and Ic are the voltage and current. Correctphasor diagram for such circuit isJEE (Main)-2021]?
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