A capacitor is charged to a voltage V and then disconnected from the battery. Wh
Practice Questions
Q1
A capacitor is charged to a voltage V and then disconnected from the battery. What happens to the charge on the capacitor if the voltage is doubled?
Charge doubles
Charge halves
Charge remains the same
Charge quadruples
Questions & Step-by-Step Solutions
A capacitor is charged to a voltage V and then disconnected from the battery. What happens to the charge on the capacitor if the voltage is doubled?
Step 1: Understand that a capacitor stores electrical charge.
Step 2: Know that the charge (Q) on a capacitor is calculated using the formula Q = C * V, where C is the capacitance and V is the voltage.
Step 3: Recognize that when the capacitor is charged to a voltage V, it has a certain amount of charge Q.
Step 4: If the voltage V is doubled (now it is 2V), we need to see how this affects the charge.
Step 5: Since the capacitance (C) of the capacitor remains constant, we can use the formula again: Q' = C * (2V).
Step 6: This means the new charge Q' is equal to 2 * (C * V), which shows that the charge has doubled.
Step 7: Conclude that if the voltage is doubled, the charge on the capacitor also doubles.
Capacitance and Charge Relationship – The relationship between charge (Q), capacitance (C), and voltage (V) in a capacitor, expressed by the formula Q = C * V.
