If a capacitor is charged to a voltage of 5 V and then disconnected from the battery, what happens to the charge on the capacitor if the voltage is increased to 10 V? (2023)
Practice Questions
1 question
Q1
If a capacitor is charged to a voltage of 5 V and then disconnected from the battery, what happens to the charge on the capacitor if the voltage is increased to 10 V? (2023)
Charge increases
Charge decreases
Charge remains the same
Charge becomes zero
When the voltage is increased to 10 V, the charge on the capacitor increases because charge (Q) is directly proportional to voltage (V) for a given capacitance.
Questions & Step-by-step Solutions
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Q
Q: If a capacitor is charged to a voltage of 5 V and then disconnected from the battery, what happens to the charge on the capacitor if the voltage is increased to 10 V? (2023)
Solution: When the voltage is increased to 10 V, the charge on the capacitor increases because charge (Q) is directly proportional to voltage (V) for a given capacitance.
Steps: 7
Step 1: Understand that a capacitor stores electrical charge.
Step 2: Know that the charge (Q) on a capacitor is related to the voltage (V) and capacitance (C) by the formula Q = C * V.
Step 3: When the capacitor is charged to 5 V, it holds a certain amount of charge based on that voltage.
Step 4: Disconnecting the capacitor from the battery means it cannot gain or lose charge from the battery.
Step 5: If the voltage is increased to 10 V, this means we are considering a new scenario where the capacitor is now at a higher voltage.
Step 6: Since charge is directly proportional to voltage, increasing the voltage to 10 V will increase the charge on the capacitor.
Step 7: Therefore, the charge on the capacitor increases when the voltage is increased to 10 V.