Q1. A capacitor of capacitance C is charged to a voltage V. If the charge is then removed, what is the potential difference across the capacitor? (2023)
Solution:
If the charge is removed, the potential difference across the capacitor becomes 0 volts.
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Q2. The energy stored in a capacitor is given by which of the following formulas? (2021)
Solution:
The energy (U) stored in a capacitor is given by the formula U = 1/2 CV^2, where C is capacitance and V is voltage.
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Q3. 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.
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Q4. What is the dielectric constant of a vacuum? (2023)
Solution:
The dielectric constant (κ) of a vacuum is defined as 1, which serves as the reference for other materials.
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Q5. What is the energy stored in a capacitor of capacitance C charged to a potential V? (2021)
Solution:
The energy (U) stored in a capacitor is given by the formula U = 1/2 CV^2.
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Q6. What is the effect of dielectric on the capacitance of a capacitor? (2021)
Solution:
Introducing a dielectric material between the plates of a capacitor increases its capacitance by a factor equal to the dielectric constant (κ) of the material.
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Q7. 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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Q8. 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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Q9. What is the capacitance of a spherical capacitor with inner radius a and outer radius b? (2023)
Solution:
The capacitance of a spherical capacitor is given by C = 4πε₀ab/(b-a).
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Q10. 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.
