Q1. What is the energy stored in a capacitor of capacitance 5 µF charged to 10 V?
Solution:
Energy (U) is given by U = 1/2 CV^2. Here, U = 1/2 * 5 µF * (10 V)^2 = 0.5 mJ.
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Q2. In a series circuit with a 10 Ω and a 20 Ω resistor, what is the total resistance?
Solution:
Total resistance in series is R_total = R1 + R2 = 10 Ω + 20 Ω = 30 Ω.
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Q3. What is the effect of increasing the distance between the plates of a parallel plate capacitor?
Solution:
Capacitance decreases as the distance between the plates increases.
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Q4. What is the electric potential energy stored in a capacitor of capacitance 2 µF charged to 12 V?
Solution:
Electric potential energy (U) is given by U = 1/2 CV^2. Here, U = 1/2 * 2 µF * (12 V)^2 = 0.144 mJ.
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Q5. A capacitor is charged to a voltage of 15 V and then disconnected from the power supply. What happens to the charge on the capacitor if the voltage is doubled?
Solution:
If the voltage is doubled, the charge on the capacitor also doubles, since Q = C * V.
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Q6. If a capacitor is connected to an AC source, what happens to the current through the capacitor?
Solution:
In an AC circuit, the current through a capacitor leads the voltage by 90 degrees.
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Q7. What is the effect of increasing the distance between the plates of a parallel plate capacitor on its capacitance?
Solution:
Capacitance (C) is inversely proportional to the distance (d) between the plates. Increasing d decreases C.
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Q8. What is the equivalent capacitance of two capacitors, 2 µF and 3 µF, connected in series?
