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A spherical symmetric charge system is c...

A spherical symmetric charge system is centered at origin. Given, Electric potential
`V=(Q)/(4piepsilon_0R_0)(rleR_0)`, `V=(Q)/(4piepsilon_0r)(rgtR_0)`

A

For spherical region `rleR_0` total electrostatic energy stored is zero.

B

Within `r = 2R_0`, total charge is Q.

C

There will be no charge anywhere except at ` r = R_0` .

D

Electric field is discontinuous at `r = R_0` .

Text Solution

Verified by Experts

For `rgtR_(0),E=(dphi)/(dr)=(Q)/(4piepsi_(0)r^(2))`
therefore, charge enclosed by concentric spherical surface at
r is
`2R_(0)=epsi_(0)phi_(E)4pir^(2)=epsi_(0)(Q)/(4piepsi_(0)r^(2))=Q`
For `rltR_(0),E=-(dV)/(dr)=0`
and for `rgtR_(0)E=-(dV)/(dr)=4piepsi_(0)r^(2)` (here `V=phi`)
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