Two identical conducting spheres (of negligible radius), having charges of opposite sign, attract each other with a force of 0.108 N when separated by 0.5 meter. The spheres are connected by a conducting wire, which is then removed (when charge stops flowing), and thereafter repel each other with a force of 0.036 N keeping the distance same. What were the initial charges on the spheres?
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(± 1.0 x 10 -6 C, 
3 x 10 -6 C)
Sol. (i) Let charges on the spheres are + q 1 and – q 2 . initially
∴ Force F 1 = 
= 0.108 N ......(i)
(ii) After connecting with conducting wire charge on each sphere becomes: 
∴ F 2 = 
= 0.036 N .....(ii)
(iii) on solving (i) and (ii); q 1 and q 2 are 
1 × 10 –6 C and 
3 × 10 –6 C.
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