CUET Preparation Today
CUET
Physics
Electrostatic Potential and Capacitance
A charge Q is distributed over two concentric hollow spheres of radii r and R (R > r) such that the surface densities are equal. Find the potential at the common centre. |
14πε0Q(R+r)R2+r2 14πε0Q(R−r)R2+r2 14πε0Q(R+r)R2−r2 14πε0Q(R+r)2R2+r2 |
14πε0Q(R+r)R2+r2 |
q1+q2=Q . . . (i) σ=q14πr2=q24πR2 . . . (ii) from (i) and (ii) q1=Qr2(r2+R2)q2=QR2(r2+R2) Vcentre =V1+V2=14πε0(q1r+q2R) =14πε0Q(R+r)R2+r2 |