Understanding the Circuit and Potential Difference
In a circuit with a potential difference of 10V between two points A and B, where point A is at a higher potential, it's essential to analyze how this affects the potential across a capacitor connected in the circuit.
Capacitors in a Circuit
- Capacitor Basics: A capacitor stores electrical energy in an electric field, and its ability to store charge is measured in farads (F). Here, we have a 2 mF (milliFarads) capacitor.
- Charging the Capacitor: When connected to a potential difference, the capacitor will charge until the voltage across it equals the potential difference applied.
Potential Difference Across the Capacitor
- Voltage Across the Capacitor: In an ideal situation, if the circuit is directly connected, the potential difference across the 2 mF capacitor will equal the potential difference applied across points A and B.
- Calculation: Since the potential difference between A and B is 10V, and assuming the capacitor is fully charged, the voltage across the capacitor will also be 10V.
Important Considerations
- Series or Parallel Connections: If the capacitor is in series with other components, the potential difference across it may differ based on the values of other components in the circuit. However, in a simple setup where the capacitor is directly across the points A and B, it will equal the applied voltage.
- Transient Response: Initially, when the capacitor begins to charge, the voltage across it will gradually rise until it reaches 10V, depending on the time constant of the circuit.
In summary, under the given conditions, the potential difference across the 2 mF capacitor will ultimately be 10V, matching the potential difference between points A and B when fully charged.

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