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The electrostatic field due to a point charge depends on the distance r as `(l//r^(2))`. Similarly, indicates how each of the following quantities depends on r : (a) Intensity of light from a point source (b) Electrostatic potential due to a point source (c) Electrostatic potential due to a distance r from the center of a charged metallic sphere of radius R `(r lt R)`. |
Answer» (a) For a point source, light intensity obeys inverse square law, i..e, `1 prop (1)/(r^(2))`. (b) In case of a point charge, `V = (q)/(4pi in_(0) r) :. V prop r^(-1)` (c ) In case of a charged conducting sphere for an internal point `(r lt R)`. `V_(in) = V_(surface) = (q)/(4pi in R)` = constant. `:. V prop r^(0),` i.e, V does not depend on r. |
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