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a spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume. the electric field inside the emptied space is non-zero and uniform.how this can be proved using superposition principle?
Dear Nandan
assume in the cavity charge density p and -p.
let position of point from complete sphere is R vector and from cavity centre is r vector
net elec field= pR/3εo - pr/3εo = p(R-r)/3εo
= pa/3εo (from vector addition)
where a vector is from centre of sphere to centre of cavity. so we take any point inside the cavity elec field will be pa/3ε and it is independent of position of point in the cavity. hence uniform.
All the best.
AKASH GOYAL
AskiitiansExpert-IIT Delhi
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