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Q1. If a 12 V battery is connected to a 3 Ω resistor, what is the current flowing through the circuit?
Solution:
Using Ohm's law, I = V/R = 12 V / 3 Ω = 4 A.
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Q2. What is the total capacitance of two capacitors of 4 µF and 6 µF in parallel?
Solution:
In parallel, C_eq = C1 + C2 = 4 µF + 6 µF = 10 µF.
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Q3. What is the charge stored in a capacitor of 5 µF when connected to a 10 V battery?
Solution:
Charge Q = C * V = 5 x 10^-6 F * 10 V = 0.05 mC.
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Q4. What is the equivalent capacitance of two capacitors, 4 µF and 6 µF, in series?
Solution:
1/C_total = 1/C1 + 1/C2 = 1/4 + 1/6 = 5/12, thus C_total = 12/5 = 2.4 µF.
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Q5. What is the charge stored in a capacitor of 5 µF at a voltage of 10 V?
Solution:
Charge Q = C * V = 5 x 10^-6 F * 10 V = 50 µC.
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Q6. What is the potential difference across a 10 µF capacitor charged to 5 V?
Solution:
The potential difference is simply the voltage, which is 5 V.
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Q7. What is the voltage across a capacitor after 3 time constants if it was charged to 12 V?
Solution:
After 3 time constants, a capacitor is considered fully charged, so the voltage remains at 12 V.
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Q8. What is the potential difference across a 20 Ω resistor carrying a current of 2 A?
Solution:
Using Ohm's law, V = I * R = 2 A * 20 Ω = 40 V.
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Q9. What is the energy stored in a capacitor of 20 µF charged to 12 V?
Solution:
Energy stored, U = 0.5 * C * V^2 = 0.5 * (20 x 10^-6 F) * (12 V)^2 = 1.44 mJ.
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Q10. What is the electric field strength at a distance of 0.2 m from a point charge of +5 µC?
Solution:
E = k * |q| / r^2 = (8.99 x 10^9 N m²/C²) * (5 x 10^-6 C) / (0.2 m)^2 = 112.5 N/C.
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