Four point charges are on the rim of a circle. The charges are (in $\mu$C) +0.50, +3.0, -1.0, -0.50. If the electrical potential at the circle's center due to the +0.5 charge alone is 4.5 * 10⁴ V, what is the total potential at the center due to the four charges combined?

Question

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The potential at the center due to the +0.5 charge alone is 4.5 F1F1F1S1F1F1F10 10⁴ V. The potential at the center due to the +3.0 charge is 3 times this value, or 13.5 F1F1F1S1F1F1F10 10⁴ V. The potential at the center due to the -1.0 charge is -1 times this value, or -4.5 F1F1F1S1F1F1F10 10⁴ V. The potential at the center due to the -0.50 charge is -0.5 times this value, or -2.25 F1F1F1S1F1F1F10 10⁴ V. The total potential at the center due to the four charges combined is therefore 4.5 F1F1F1S1F1F1F10 10⁴ V + 13.5 F1F1F1S1F1F1F10 10⁴ V - 4.5 F1F1F1S1F1F1F10 10⁴ V - 2.25 F1F1F1S1F1F1F10 10⁴ V = 18 F1F1F1S1F1F1F10 10⁴ V.

Four Point Charges Are on the Rim of a Circle μ\muμ

Four Point Charges Are on the Rim of a Circle $\mu$