Question

Two concentric thin conducting spherical shell of radii a and b (a > b) having charges $Q_1\text{and}{Q}_2$ respectively. The electrostatic potential at point P at distance c from their common centre will be $\left(K=\frac{1}{4\pi {\epsilon }_0}\text{and}b<c<a\right)$

• A. $\frac{K{Q}_1}{a}+\frac{K{Q}_2}{b}$
• B. $\frac{K{Q}_1}{a}+\frac{K{Q}_2}{c}$
• C. $\frac{K\left(Q_1+Q_2\right)}{c}$
• D. $\frac{K{Q}_1}{c}$

Answer 1

The correct option is B $\frac{K{Q}_1}{a}+\frac{K{Q}_2}{c}$

Due to $Q_2,V_b=\frac{k{Q}_2}{b}$ but it varies with r

Due to $Q_1,V_a=\frac{k{Q}_1}{a}$ fix

$V_T=\frac{k{Q}_1}{a}+\frac{k{Q}_2}{c}$