A capacitor is charged to a potential of V. If the charge on the capacitor is do

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Question: A capacitor is charged to a potential of V. If the charge on the capacitor is doubled, what will be the new potential?

Options:

Correct Answer: 2V

Solution:

The potential V across a capacitor is directly proportional to the charge. If the charge is doubled, the potential also doubles.

A capacitor is charged to a potential of V. If the charge on the capacitor is doubled, what will be the new potential?

A capacitor is charged to a potential of V. If the charge on the capacitor is doubled, what will be the new potential?

Step 1: Understand that a capacitor stores electrical charge.
Step 2: Know that the potential (V) across a capacitor is related to the charge (Q) it holds.
Step 3: Remember the relationship: V is directly proportional to Q. This means if you change Q, V changes in the same way.
Step 4: If the original charge on the capacitor is Q and the potential is V, then doubling the charge means the new charge is 2Q.
Step 5: Since V is directly proportional to Q, if the charge is doubled (from Q to 2Q), the potential also doubles (from V to 2V).
Step 6: Therefore, the new potential when the charge is doubled is 2V.

Capacitance and Charge Relationship – The relationship between charge (Q), capacitance (C), and potential (V) in a capacitor is given by the formula Q = C * V, indicating that potential is directly proportional to charge for a constant capacitance.