What is the electric potential at a distance of 3 m from a charge of 10 μC?

What is the electric potential at a distance of 3 m from a charge of 10 μC?

Step 1: Identify the formula for electric potential (V) due to a point charge, which is V = k * q / r.
Step 2: Determine the values needed for the formula: k (Coulomb's constant) = 9 × 10^9 N m²/C², q (the charge) = 10 μC = 10 × 10^-6 C, and r (the distance) = 3 m.
Step 3: Substitute the values into the formula: V = (9 × 10^9 N m²/C²) * (10 × 10^-6 C) / (3 m).
Step 4: Calculate the numerator: (9 × 10^9) * (10 × 10^-6) = 90,000.
Step 5: Divide the result by the distance: 90,000 / 3 = 30,000.
Step 6: The final result is the electric potential V = 30,000 V.

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