Three charged concentric non conducting shells are given charges  as shown in the figure. Find the potential at point A:-  Takek=14πε0

Three charged concentric non conducting shells are given charges  as shown in the figure. Find the potential at point A:-  $\text{Take}\left(k=\frac{1}{4\text{π}{\epsilon }_{0}}\right)$

1. A

$\frac{5kQ}{R}$

2. B

$\frac{4kQ}{R}$

3. C

$\frac{3kQ}{R}$

4. D

$\frac{2kQ}{R}$

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Solution:

We know
Potential  $V=\frac{kQ}{R}.....\left(1\right)$
From diagram
${V}_{A}=\frac{kQ}{R}+k\frac{2Q}{2R}+k\frac{8Q}{4R}=\frac{4kQ}{R}\text{Here\hspace{0.17em}}k=\frac{1}{4\text{π}{\epsilon }_{0}}$

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