Question

A metal sphere with a radius of 10 cm is charged with 3 ⋅ (10)^(-8)C. It is then connected by wire to another metal sphere with a radius of 5 cm.
a) Calculate the potential of the first sphere and the potential energy before connecting to the second sphere
b) Calculate the charges and potentials of both spheres after connection. The distance between the spheres is so great that the electrical effect between them is insignificant
c) Calculate the potential energies of the spheres after connection
d) Calculate the work done by electric forces in shifting charges after connecting spheres

Answer 1

(a) V= 2700 V

U= 91×10^-6 J

(B) charge on (r =10 cm) = 3.4×10^-8 c

V1=21.6×0^2 V

Charge on second sphere/=0.6×10^-8 c

V2=1080 V

C) U1=51.84×10^-6 J

U2=6.48×10^-6 J

d) w=32.68×10^-6 J

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