If four charges $q_1=+1 imes 10^{-8} \mathrm{C}, q_2=-2 imes 10^{-8} \mathrm{C}$, $q_3=+3 imes 10^{-8} \mathrm{C}$ and $q_4=+2 imes 10^{-8} \mathrm{C}$ are kept at the four corners of a square of side 1 m , then the electric potential at the centre of the square is

Question

If four charges $q_1=+1 	imes 10^{-8} \mathrm{C}, q_2=-2 	imes 10^{-8} \mathrm{C}$, $q_3=+3 	imes 10^{-8} \mathrm{C}$ and $q_4=+2 	imes 10^{-8} \mathrm{C}$ are kept at the four corners of a square of side 1 m , then the electric potential at the centre of the square is

Aicharya · Accepted Answer

$\begin{aligned} & 	ext { } \mathrm{q}_1=+1 	imes 10^{-8} \mathrm{C}, \mathrm{q}_2=-2 	imes 10^{-8} \mathrm{C} \ & \mathrm{q}_3=+3 	imes 10^{-8} \mathrm{C}, \mathrm{q}_4=+2 	imes 10^{-8} \mathrm{C} \ & \mathrm{a}=1 \mathrm{~m}\end{aligned}$ $	herefore \quad r=\frac{\sqrt{2} a}{2}=\frac{a}{\sqrt{2}}=\frac{1}{\sqrt{2}} \mathrm{~m}$ The electric potential at centre 0 is $\begin{aligned} & \mathrm{V}_0=\frac{\mathrm{k}}{\mathrm{r}}\left(\mathrm{q}_1+\mathrm{q}_2+\mathrm{q}_3+\mathrm{q}_4ight) \ & \frac{9 	imes 10^9}{\frac{1}{\sqrt{2}}}(1-2+3+2) 	imes 10^{-8} \ & =509 \mathrm{~V} \approx 510 \mathrm{~V} \end{aligned}$

If four charges $q_1=+1 \times 10^{-8} \mathrm{C}, q_2=-2 \times 10^{-8} \mathrm{C}$, $q_3=+3 \times 10^{-8}…

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