Physics, asked by barsha9, 1 year ago

plzzz give the answer quickly

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Answered by alex57
2
let the initial charge be Q
and the charge on one side be q so charge on another side will be Q - q
(see the diagram above)

so,
the force between them will be

F = 1/4πE * q(Q-q)/r^2
(E = permitivity of free space)

if force is maximum means the derivative or differentiation should be zero
i.e.,

df/dq = 0
d( 1/4πE * q(Q-q)/r^2)/dq = 0
1/4πE*r^2 * d(qQ-q^2)/dq = 0
1/4πE*r^2 * (Q - 2q) = 0
Q - 2q = 0
Q = 2q
q = Q/2

so the charge on the individual will be the half of the total charge.
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