Power In Electric Circuits

In electrostatics, the work done in moving a point charge along any path depends only on the potential difference between the starting and ending points. Since the points A, B, and C are on the same equipotential surface (semicircle), the potential difference between them is the same. Therefore, the work done in moving the point charge from P to A, B, or C is equal and non-zero. Thus, .

The capacitors are connected in parallel and series combinations. Step 1: Identify the Equivalent Capacitance The 4 F and 8 F capacitors are in series. The equivalent capacitance is: This C is now in parallel with the 4 F capacitor: Step 2: Find Charge Stored The total charge stored in the system is: Since the 5 F capacitor is in series with the parallel combination, it gets the same charge: Thus, the potential difference across the 5 F capacitor is 48 V.