Q4. What is the total current in a circuit with a 12 V battery and a total resistance of 4 Ω?
Solution:
Using Ohm's Law: I = V / R = 12 V / 4 Ω = 3 A.
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Q5. What is the force between two charges of +2 µC and -3 µC separated by a distance of 0.5 m?
Solution:
Using Coulomb's law: F = k * |q1 * q2| / r^2 = (8.99 x 10^9 N m²/C²) * |(2 x 10^-6 C) * (-3 x 10^-6 C)| / (0.5 m)^2 = -1.08 N.
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Q6. What is the potential difference across a capacitor of 5 µF charged to 12 V?
Solution:
The energy stored in a capacitor is U = 0.5 * C * V^2 = 0.5 * 5 x 10^-6 F * (12 V)^2 = 0.36 J.
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Q7. What is the current flowing through a 20 Ω resistor when a voltage of 100 V is applied?
Solution:
Using Ohm's Law: I = V / R = 100 V / 20 Ω = 5 A.
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Q8. What is the electric field strength between two parallel plates separated by 0.1 m with a potential difference of 100 V?
Solution:
The electric field (E) is given by E = V/d. Here, E = 100V / 0.1m = 1000 N/C.
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Q9. What is the electric field (E) at a distance of 2 meters from a point charge of 5 microcoulombs?
Solution:
Using Coulomb's law, E = k * |q| / r^2, where k = 8.99 x 10^9 N m^2/C^2, q = 5 x 10^-6 C, and r = 2 m. E = (8.99 x 10^9) * (5 x 10^-6) / (2^2) = 1125 N/C.
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Q10. What is the equivalent resistance of three resistors of 4 ohms, 6 ohms, and 12 ohms connected in series?
