A point charge of +3.0 μC is located at the origin of a coordinate system and a second point charge of −9.0 μC is at x = 1.00 m.What is the electric potential at the x = 0.50 m point? (k_e = 8.99 × 10⁹ N⋅m²/C²) A) −5.4 × 10⁴ V B) 11 × 10⁴ V C) 16 × 10⁴ V D) −11 × 10⁴ V

Question

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The electric potential at a point due to a point charge is given by V = k_e * q / r. Calculate the potential due to each charge at x = 0.50 m and sum them: V_total = V_1 + V_2 = (8.99 × 10^9 * 3.0 × 10^-6 / 0.50) + (8.99 × 10^9 * -9.0 × 10^-6 / 0.50) = 5.4 × 10^4 - 16.2 × 10^4 = -10.8 × 10^4 V, which is approximately -11 × 10^4 V.

A Point Charge of +3