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Q1. What is the total resistance in a parallel circuit with resistors of 3 Ω, 6 Ω, and 12 Ω?
Solution:
1/R_eq = 1/R1 + 1/R2 + 1/R3 = 1/3 + 1/6 + 1/12. R_eq = 2 Ω.
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Q2. What is the energy stored in a capacitor of 20 µF charged to 10 V?
Solution:
Energy U = 0.5 * C * V² = 0.5 * 20 x 10^-6 F * (10 V)² = 0.1 J.
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Q3. In a series circuit with a 12 V battery and two resistors of 4 Ω and 6 Ω, what is the current flowing through the circuit?
Solution:
Total resistance R = R1 + R2 = 4 Ω + 6 Ω = 10 Ω. Current I = V/R = 12 V / 10 Ω = 1.2 A.
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Q4. What is the voltage across a 10 Ω resistor carrying a current of 3 A?
Solution:
Using Ohm's law, V = I * R = 3 A * 10 Ω = 30 V.
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Q5. What is the potential difference across a capacitor of 10 µF charged to 5 V?
Solution:
Energy stored in a capacitor U = 0.5 * C * V² = 0.5 * 10 x 10^-6 F * (5 V)² = 0.125 J.
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