College

If an uncharged capacitor, a resistor, a switch, and a 12 V battery are connected in series, what is the voltage across the capacitor after it is fully charged?

A. 24 V
B. 0 V
C. 12 V
D. 6 V

Answer :

The voltage across the capacitor after it is fully charged is 12V.Once the capacitor is fully charged, it reaches its maximum voltage

When an uncharged capacitor is connected in series with a resistor, a switch, and a 12V battery, a charging circuit is formed. Initially, the capacitor has no charge, and the battery voltage of 12V is applied across it. As the circuit is closed by flipping the switch, the charging process begins.

During the charging process, the capacitor gradually accumulates charge and the voltage across it increases. However, once the capacitor is fully charged, it reaches its maximum voltage, which in this case is the same as the battery voltage of 12V.

At this point, the capacitor can no longer accumulate more charge, and the voltage across it remains constant at 12V.

This is because, in a fully charged capacitor, the electric field between the capacitor plates reaches equilibrium, and the capacitor acts as an open circuit. Therefore, no current flows through the capacitor, and the voltage across it remains at the same level as the source voltage.

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