A spherical metal shell A of radius RA and a solid metal sphere B of radius RB(

Question

A spherical metal shell A of radius RA and a solid metal sphere B of radius RB(< RA) are kept far apart and each is given charge ' +Q '. Now they are connected by a thin metal wire. Then (A) EA text inside =0 (B) QA>QB (C) (σA/τ)=(RB/R) (D) EA text on surface < EB text on surface

Tardigrade Admin · Accepted Answer

R B < R A Q A + Q B =2 Q ( kQ A / R A )=( kQ B / R B ) σ A R A =σ B R B Q A =(2 QR A / R A + R B ) Q B =(2 QR B / R A + R B )

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

$E_{A}^{inside} = 0$

$Q_{A} > Q_{B}$

$\frac{σ _{A}}{τ} = \frac{R _{B}}{R}$

$E_{A}^{on surface} < E_{B}^{on surface}$

$R_{B} < R_{A}$
$Q_{A} + Q_{B} = 2 Q$
$\frac{k Q _{A}}{R _{A}} = \frac{k Q _{B}}{R _{B}}$
$σ_{A} R_{A} = σ_{B} R_{B}$
$Q_{A} = \frac{2 Q R _{A}}{R _{A} + R _{B}}$
$Q_{B} = \frac{2 Q R _{B}}{R _{A} + R _{B}}$

Q. A spherical metal shell A of radius RA​ and a solid metal sphere B of radius RB​(<RA​) are kept far apart and each is given charge ' +Q '. Now they are connected by a thin metal wire. Then

EAinside ​=0

QA​>QB​

τσA​​=RRB​​

EAon surface ​<EBon surface ​