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Electric Field Due to a Sphere and Thin Shell

8 charged dro...

Question

8 charged drops of water each of radius 1mm and having a charge of 10^-10C , combine to form a bigger drop . determine the potential of bigger drop.

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Solution

Volume of the resultant water drop= Volume of all the drops together
8 * 4/3πr^3 = 4/3 * πR^3
R = 2r
Potential = kQ/R
= k×8×(10^-10)/210−2
=360 volt

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