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:- $Take (k = \frac{1}{4 π ε_{0}})$

A
$\frac{5 k Q}{R}$
B
$\frac{4 k Q}{R}$
C
$\frac{3 k Q}{R}$
D
$\frac{2 k Q}{R}$

Solution:

We know
Potential $V = \frac{k Q}{R} ..... (1)$
From diagram
$V_{A} = \frac{k Q}{R} + k \frac{2 Q}{2 R} + k \frac{8 Q}{4 R} = \frac{4 k Q}{R} Here k = \frac{1}{4 π ε_{0}}$

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