Two charges of equal magnitudes and at a distance of ‘r’ distance exerts a force ‘F’ on each
other. If the two charges are halved and the distance between them is doubled, then the new force
acting on each charge is –
(i) /8
(ii) /4
(iii) 4F (iv)
/16
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If the charges are halved and the distance between them is doubled the electric force becomes (1/16)th times that of initial force.
Explanation:
The force produced between two charges is given by :
R is the distance between charges
If charges are halved,
Distance is doubled,
R' = 2R
New electric force is given by :
So, if the charges are halved and the distance between them is doubled the electric force becomes (1/16)th times that of initial force. Hence, this is the required solution.
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