Eight point charges, each of magnitude $$100\ \mathrm{nC}$$, are placed at the corners of a cube with side length $$10\ \mathrm{cm}. If $$the electric potential is defined to be zero at infinity, what is the electric potential at the center of the cube? Use $$\$$varepsilon_0$$ = 8.854 imes 10$$^{-12}$$\ \mathrm{C^2$/(N\cdot m^2$)}$$.

$$V = \sum_i \frac{q_i}{4\pi\$$varepsilon_0$$ r_i}$$, where $$r_i is $$the distance from each charge to the center.

Question

Eight point charges, each of magnitude $$100\ \mathrm{nC}$$, are placed at the corners of a cube with side length $$10\ \mathrm{cm}. If $$the electric potential is defined to be zero at infinity, what is the electric potential at the center of the cube? Use $$\$$varepsilon_0$$ = 8.854 	imes 10$$^{-12}$$\ \mathrm{C^2$/(N\cdot m^2$)}$$.

$$V = \sum_i \frac{q_i}{4\pi\$$varepsilon_0$$ r_i}$$, where $$r_i is $$the distance from each charge to the center.

Accepted Answer

$$8.3 	imes 10^4$ Volts

Electric Potential at the Center of a Cube with Point Charges

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