Power dissipation in capacitor circuit

In summary, the discussion is about a capacitor connected to a battery with a certain internal resistance. The question is whether calculating the power dissipated as heat should take into account the voltage across the capacitor multiplied by the current through the capacitor, or if the heat dissipation in the battery's internal resistance should also be added. The general consensus is that only the fraction of energy lost in the internal resistance of the battery is converted to heat. However, in the book, the answer only considers the heat dissipation in the capacitor and neglects the battery's dissipation. It is argued that strictly speaking, the heat lost in the battery should also be considered.
  • #1
apkrishna1963
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Capacitor connected to a battery of certain internal resistance. If it is asked to calculate what is power dissipated as heat, Does -the voltage across capacitor X current through capacitor- gives heat dissipated or should we add heat dissipated in battery by considering its internal resistance.
 
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  • #2
The capacitor will take some part of the energy released by the battery, only the fraction that is lost in the internal resistance gets converted to heat.
 
  • #3
@mfb, I agree. But in the book the answer given for only heat dissipation in capacitor. They have not considered the dissipation in battery. I think they have neglected this fraction of heat lost. But strictly speaking one has to consider. Am I right?
mfb said:
The capacitor will take some part of the energy released by the battery, only the fraction that is lost in the internal resistance gets converted to heat.
 
  • #4
apkrishna1963 said:
Capacitor connected to a battery of certain internal resistance. If it is asked to calculate what is power dissipated as heat, Does -the voltage across capacitor X current through capacitor- gives heat dissipated or should we add heat dissipated in battery by considering its internal resistance.
What current "through" capacitor? The current goes through the connecting wires and through the battery, during the charging process. But not through the capacitor.
Maybe you should write the full text of the problem.
 
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Likes davenn

1. What is power dissipation in a capacitor circuit?

Power dissipation in a capacitor circuit refers to the amount of energy that is lost or dissipated as heat within the circuit due to the resistance of the components.

2. How does power dissipation affect the performance of a capacitor circuit?

Power dissipation can cause the temperature of the circuit to increase, which can lead to a decrease in the efficiency and lifespan of the components. It can also affect the accuracy and stability of the circuit.

3. What factors contribute to power dissipation in a capacitor circuit?

The main factors that contribute to power dissipation in a capacitor circuit are the resistance of the components, the frequency of the circuit, and the voltage applied to the circuit.

4. How can power dissipation be minimized in a capacitor circuit?

To minimize power dissipation, components with lower resistance can be used, and the frequency and voltage of the circuit can be optimized. Proper heat dissipation techniques, such as using heat sinks, can also help reduce power dissipation.

5. What are the consequences of high power dissipation in a capacitor circuit?

High power dissipation can lead to overheating and damage to components, reduced efficiency and performance of the circuit, and potential safety hazards. It can also result in increased energy costs and a shorter lifespan of the circuit.

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