Electric potential energy of two equal charges q separated by r is U = k q^2 / r. If q = 1 μC and r = 0.5 m, compute U.

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Multiple Choice

Electric potential energy of two equal charges q separated by r is U = k q^2 / r. If q = 1 μC and r = 0.5 m, compute U.

Explanation:
Electric potential energy between two point charges is given by U = k q1 q2 / r. When the charges are equal, this simplifies to U = k q^2 / r. Use k ≈ 8.99 × 10^9 N·m^2/C^2, q = 1 μC = 1 × 10^-6 C, and r = 0.5 m. Compute: q^2 = (1 × 10^-6 C)^2 = 1 × 10^-12 C^2. Then U = (8.99 × 10^9) × (1 × 10^-12) / 0.5 = (8.99 × 10^-3) / 0.5 = 0.01798 J ≈ 0.018 J. So the energy is about 0.018 joules.

Electric potential energy between two point charges is given by U = k q1 q2 / r. When the charges are equal, this simplifies to U = k q^2 / r. Use k ≈ 8.99 × 10^9 N·m^2/C^2, q = 1 μC = 1 × 10^-6 C, and r = 0.5 m.

Compute: q^2 = (1 × 10^-6 C)^2 = 1 × 10^-12 C^2. Then U = (8.99 × 10^9) × (1 × 10^-12) / 0.5 = (8.99 × 10^-3) / 0.5 = 0.01798 J ≈ 0.018 J.

So the energy is about 0.018 joules.

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