Two point charges +q₁ and q₂ repel each other with a force of 100 ~N q ₁ is increased by 10 % and q ₂ is decreased by 10 % . If they are kept at their original positions the change in the force of repulsion between them is

Step-by-step solution

F _ net = 1 4 ₀ q ₁ q ₂ r ^2 q ₁ and q ₂ are increased and decreased respectively by 10 % aligned & F _ nett = 1 4 ₀ 1 r ^2 ( q ₁+ q ₁ 10 100 ) ( q ₂- q ₂ 10 100 ) & F _ net' = 1 4 ₀ q ₁ q ₂ r ^2 ( 110 1.00 ) ( 90 100 ) & i.e., 99 100 times ~F _ net & F _ net' = 99 100 F _ net = 99 100 100=99 ~N & ~F _ net - F _ net =100-99=1 ~N aligned The net force decreases by 1 N