A capacitor is charged to a potential of V. If the charge on the capacitor is do
Practice Questions
Q1
A capacitor is charged to a potential of V. If the charge on the capacitor is doubled, what will be the new potential?
V
2V
V/2
4V
Questions & Step-by-Step Solutions
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.
