Q1. If the capacitance of a capacitor is doubled while keeping the charge constant, what happens to the potential difference across it? (2020)
Solution:
Capacitance C is defined as C = Q/V. If C is doubled and Q remains constant, then V must halve to maintain the equation.
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Q2. In a capacitor, if the charge is doubled while the voltage remains constant, what happens to the capacitance? (2019)
Solution:
Capacitance (C) is defined as C = Q/V. If the charge (Q) is doubled while the voltage (V) remains constant, the capacitance also doubles.
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Q3. What is the potential energy stored in a capacitor? (2022)
Solution:
The potential energy (U) stored in a capacitor is given by the formula U = 1/2 CV², where C is the capacitance and V is the voltage across the capacitor.
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Q4. If a capacitor is charged to a voltage of 10V and has a capacitance of 5μF, what is the charge on the capacitor? (2022)
Solution:
Using the formula Q = CV, the charge Q = 5μF * 10V = 50μC.
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Q5. In a capacitor, if the plate area is increased while keeping the distance constant, what happens to the capacitance? (2023)
Solution:
Increasing the plate area while keeping the distance constant increases the capacitance, as capacitance is directly proportional to the area of the plates.
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Q6. A capacitor of capacitance C is charged to a voltage V. What is the charge stored in the capacitor? (2023)
Solution:
The charge Q stored in a capacitor is given by Q = CV.
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Q7. What is the relationship between charge (Q), capacitance (C), and voltage (V) in a capacitor? (2023)
Solution:
The relationship is given by Q = CV, where Q is the charge, C is the capacitance, and V is the voltage across the capacitor.
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Q8. 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.
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Q9. What happens to the electric potential energy when a capacitor is disconnected from a battery and the plates are moved further apart? (2023)
Solution:
When a capacitor is disconnected from a battery and the plates are moved further apart, the electric potential energy increases because the capacitance decreases while the charge remains constant.
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Q10. What is the electrostatic potential at a point due to a point charge Q located at a distance r from the charge? (2021)
Solution:
The electrostatic potential V at a distance r from a point charge Q is given by V = kQ/r, where k is Coulomb's constant.
