Question

A spherical metal shell A of radius $R_{A}$ and a solid metal sphere $B$ of radius $R_{B}\left(< R_{A}\right)$ are kept far apart and each is given charge ' $+Q$ '. Now they are connected by a thin metal wire. Then

• A. $E_{A}^{\text {inside }}=0$
• B. $Q_{A}>Q_{B}$
• C. $\frac{\sigma_{A}}{\tau}=\frac{R_{B}}{R}$
• D. $E_{A}^{\text {on surface }}< E_{B}^{\text {on surface }}$

Answer 1

Answer: (A), (B), (C), (D)

$R _{ B }< R _{ A }$
$Q _{ A }+ Q _{ B }=2 Q$
$\frac{ kQ _{ A }}{ R _{ A }}=\frac{ kQ _{ B }}{ R _{ B }}$
$\sigma_{ A } R _{ A }=\sigma_{ B } R _{ B }$
$Q _{ A }=\frac{2 QR _{ A }}{ R _{ A }+ R _{ B }}$
$Q _{ B }=\frac{2 QR _{ B }}{ R _{ A }+ R _{ B }}$