Electric charges of +10,μ, C, +5,μ, C, -3,μ, C and +8,μ, C are placed at corners of a square of

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2. Electric Potential and Capacitance

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Electric charges of $+10\,\mu\, C, +5\,\mu\, C, -3\,\mu\, C$ and $+8\,\mu\, C$ are placed at the corners of a square of side$\sqrt 2\,m$ . The potential at the centre of the square is

A

$1.8\,V$

B

$1.8 \times {10^6}\,V$

C

$1.8 \times {10^5}\,V$

D

$1.8 \times {10^4}\,V$

Solution

$\mathrm{V}_{\mathrm{net}}=\mathrm{V}_{1}+\mathrm{V}_{2}+\mathrm{V}_{3}+\mathrm{V}_{4}$

$=\frac{9 \times 10^{9}}{1}[+10+5-3+8] \times 10^{-6} \quad\left[\because \mathrm{r}=\frac{\mathrm{a} \sqrt{2}}{2}=1\right]$

$\mathrm{V}_{\mathrm{net}}=180 \times 10^{3}=1.8 \times 10^{5} \mathrm{\,V}$

Standard 12

Physics

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(KVPY-2009)