JEE Mains · Physics · STD 12 - Electric potential and capacitance
- JEE Mains 2026
- Hard
- MCQ
There are three co-centric conducting spherical shells \(A , B\) and C of radii \(a , b\) and c respectively. The potential of the spheres \(A , B\) and C respectively, are :
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) \(\frac{1}{4 \pi \epsilon_0}\left(\frac{q_1}{a}+\frac{q_2}{b}+\frac{q_3}{c}\right), \frac{1}{4 \pi \epsilon_0}\left(\frac{q_1+q_2}{b}+\frac{q_3}{c}\right), \frac{1}{4 \pi \epsilon_0}\left(\frac{q_1+q_2+q_3}{c}\right)\)
Step-by-step Solution
Detailed explanation
\(V _{ A }=\frac{ Kq _1}{ a }+\frac{ Kq _2}{b}+\frac{ Kq _3}{ c }=\frac{1}{4 \pi \varepsilon_0}\left(\frac{ q _1}{ a }+\frac{ q _2}{b}+\frac{ q _3}{ c }\right)\)
\(V _{ B }=\frac{ Kq _1}{b}+\frac{ Kq _2}{b}+\frac{ Kq _3}{ c }=\frac{1}{4 \pi \varepsilon_0}\left(\frac{ q _1+ q _2}{b}+\frac{ q _3}{ c }\right)\)
\(V _{ C }=\frac{ Kq _1}{ c }+\frac{ Kq _2}{ c }+\frac{ Kq _3}{ c }=\frac{1}{4 \pi \varepsilon_0}\left(\frac{ q _1+ q _2+ q _3}{ c }\right)\)
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