A 100 pF capacitor is charged to a potential difference of 50 V, and the charging battery is dis

step 1 For the given problem, the charge initially on a charge capacitor is given by Q is equal to C1 t

A 100 pF capacitor is charged to a potential difference of...

A 100 pF capacitor is charged to a potential difference of $50 \mathrm{V},$ and the charging battery is disconnected. The capacitor is then connected in parallel with a second (initially uncharged) capacitor. If the potential difference across the first capacitor drops to $35 \mathrm{V},$ what is the capacitance of this second capacitor?

A 100 pF capacitor is charged to a potential difference of $50 \mathrm{V},$ and the charging battery is disconnected. The
capacitor is then connected in parallel with a second (initially
uncharged) capacitor. If the potential difference across the first capacitor drops to $35 \mathrm{V},$ what is the capacitance of this second
capacitor?

Key Concepts

Charge Conservation

The principle of charge conservation states that in an isolated system, the total electric charge remains constant. When a charged capacitor is connected to an uncharged capacitor with the battery disconnected, the total charge initially present on the charged capacitor is redistributed between the two capacitors, but the sum of the charges remains the same.

Capacitors in Parallel

When capacitors are connected in parallel, they share the same voltage across their plates. The overall capacitance of the combination is the sum of the individual capacitances. In the context of charge redistribution, both capacitors reach a common voltage, and the final voltage depends on their capacitances and the total charge present in the system.

Capacitance

Capacitance is a measure of a capacitor's ability to store electrical charge per unit of potential difference, defined by the relationship C = Q/V. It determines how much charge a capacitor can hold when a given voltage is applied, and it plays a crucial role in determining the behavior of circuits with interconnected capacitors.

Potential Difference

Potential difference, or voltage, is the work done per unit charge to move an electric charge between two points. It is the driving force behind the movement of charge in a capacitor and is directly related to the energy stored in the capacitor through the relationship between charge and capacitance.

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