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Question

Physics Question on Electric charges and fields

If charge and distance between two charges are reduced to half. Force between them

A

remains same

B

increases four times

C

reduce four times

D

None of the above

Answer

remains same

Explanation

Solution

As per Coulomb's law F=kq1q2r2F = k \frac{q_{1} q_{2}}{r^{2}}
According to question,
F=k(q1/2)(q2/2)(r/2)2F'= k \frac{\left(q_{1} / 2\right)\left(q_{2} / 2\right)}{(r / 2)^{2}}
=kq1q2r2=F=k \frac{q_{1} q_{2}}{r^{2}}=F
Thus, force between them will remain same.