Three charged concentric nonconducting shells | vedclass

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Question

(B) The potential at a point due to a charged shell is given by $V = \frac{kQ}{r}$ for $r \ge R$ and $V = \frac{kQ}{R}$ for $r < R$,where $R$ is the r

Vedclass · Accepted Answer

$\frac{4kQ}{R}$

Vedclass · Answer

(B) The potential at a point due to a charged shell is given by $V = \frac{kQ}{r}$ for $r \ge R$ and $V = \frac{kQ}{R}$ for $r Point $A$ is located at a distance $r = R$ from the center.$1$. Potential due to the inner shell (radius $R/2$,charge $Q$): Since $r > R/2$,$V_1 = \frac{kQ}{R}$.$2$. Potential due to the middle shell (radius $2R$,charge $2Q$): Since $r $3$. Potential due to the outer shell (radius $4R$,charge $8Q$): Since $r The total potential at point $A$ is $V_A = V_1 + V_2 + V_3 = \frac{kQ}{R} + \frac{kQ}{R} + \frac{2kQ}{R} = \frac{4kQ}{R}$.

Three charged concentric nonconducting shells are given as shown in the figure. Find the potential at point $A$.

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