In an RLC circuit, supplied from an ac source, the reactive power is proportional to the-a)average energy stored in the electric fieldb)average energy stored in the magnetic fieldc)sum of the average energy stored in the electric field and that stored in the magnetic fieldd)difference between the average energy stored in the electric field and that stored in the magnetic fieldCorrect answer is option 'D'. Can you explain this answer?

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In an RLC circuit, supplied from an ac source, the reactive power is proportional to the-

a)
average energy stored in the electric field
b)
average energy stored in the magnetic field
c)
sum of the average energy stored in the electric field and that stored in the magnetic field
d)
difference between the average energy stored in the electric field and that stored in the magnetic field

Correct answer is option 'D'. Can you explain this answer?

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In an RLC circuit, supplied from an ac source, the reactive power is ...

Phase angle between current and voltage is zero in Resistor.

Reactive Power P_R=V₁I₁sin⁡q

=VIsin⁡0=0

Current is leading with voltage in capactor

Reactive power ′Pc′=V₂I₂sin⁡(+90)

=+V₂I₂

Current is lagging with voltage in inductor Reactive Power

′P2′=V₃I₃sin⁡(−90)

=−V₃I₃

So Total Reactive Power =P_R+P_C+P_L

=0+V₂I₂−V₃I₃

Energy store in inductor by magnetic field and energy store in capacity by electric field.

So Reactive Power is Proportional to difference between average energy store in electric field and store in magnetic field.

Hence, the correct option is (d).

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In an RLC circuit, supplied from an ac source, the reactive power is ...

The reactive power in an RLC circuit supplied from an AC source is proportional to the difference between the average energy stored in the electric field and that stored in the magnetic field. This can be explained by considering the behavior of the circuit components and the nature of reactive power.

- **Reactive Power in an RLC Circuit:**
In an RLC circuit, the reactive power is the power that oscillates between the source and the circuit components without being dissipated as real power. It is associated with the exchange of energy between the electric and magnetic fields of the circuit.

- **Electric Field Energy:**
In an RLC circuit, the capacitor stores energy in the electric field. When the voltage across the capacitor is at its maximum, the energy stored in the electric field is also at its maximum. Conversely, when the voltage is at its minimum, the energy stored in the electric field is at its minimum.

- **Magnetic Field Energy:**
In an RLC circuit, the inductor stores energy in the magnetic field. When the current through the inductor is at its maximum, the energy stored in the magnetic field is also at its maximum. Conversely, when the current is at its minimum, the energy stored in the magnetic field is at its minimum.

- **Interaction between Electric and Magnetic Fields:**
In an AC circuit, the voltage and current continuously change their polarity and magnitude, resulting in the exchange of energy between the electric and magnetic fields. When the voltage is at its maximum, the current is at its minimum, and vice versa. This means that the energy stored in the electric field is maximum when the energy stored in the magnetic field is minimum, and vice versa.

- **Reactive Power and Energy Difference:**
The reactive power represents the rate at which energy is oscillating between the electric and magnetic fields. It is proportional to the difference between the average energy stored in the electric field and that stored in the magnetic field. When the energy stored in the electric field is greater than the energy stored in the magnetic field, there is a net flow of energy from the electric field to the magnetic field, resulting in positive reactive power. Conversely, when the energy stored in the magnetic field is greater, there is a net flow of energy from the magnetic field to the electric field, resulting in negative reactive power.

Therefore, the correct answer is option 'D' - the reactive power is proportional to the difference between the average energy stored in the electric field and that stored in the magnetic field.

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In an RLC circuit, supplied from an ac source, the reactive power is proportional to the-a)average energy stored in the electric fieldb)average energy stored in the magnetic fieldc)sum of the average energy stored in the electric field and that stored in the magnetic fieldd)difference between the average energy stored in the electric field and that stored in the magnetic fieldCorrect answer is option 'D'. Can you explain this answer?

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