A conducting sphere of radius a, with charge \(Q\), is placed concentrically inside a positive conducting…
A conducting sphere of radius a, with charge \(Q\), is placed concentrically inside a positive conducting shell B of or radius b. \(\mathrm{B}\) is earthed. \(\mathrm{C}\) is the common centre of \(\mathrm{A}\) and \(\mathrm{B} .\) Study the following statements
i. The potential at a distance \(r\) from \(C, \quad\) where \(a \leq r \leq b\), is \(\frac{1}{4 \pi \varepsilon_{0}} \frac{Q}{r}\)
ii. The potential difference between \(\mathrm{A}\) and \(\quad \mathrm{B}\) is \(\frac{1}{4 \pi \varepsilon_{0}} Q\left(\frac{1}{a}-\frac{1}{b}\right)\)
iii. The potential at a distance \(r\) from \(C, \quad\) where \(a \leq r \leq b\), is \(\frac{1}{4 \pi \varepsilon_{0}} Q\left(\frac{1}{r}-\frac{1}{b}\right)\)
Which of the following statements are correct?
Only (i) and (ii)
Only (ii) and (iii)
Only (i) and (iii)
All
Solution
+Q charge will flow into earth.
\(\mathrm{v}_{C}=\frac{k Q}{r}-\frac{K Q}{b}\)
\(\mathrm{v}_{A}=\frac{k Q}{a}-\frac{K Q}{b}\)
Potential of \(B\) is zero.
^
Asked in: JEE Mains - Electrostatics - Chapter Test
