Question

Example 17. Two identical spheres, having charges of
opposite sign attract each other with a force of 0.108 N when
separated by 0.5 m. The spheres are connected by a conduc-
ting wire, which then removed, and thereafter they repel each
other with a force of 0.036 N. What were the initial charges
on the spheres?​

Answer 1

Answer:

Explanation:

Let initial charge be Q1 and Q2.

Initial force =F=  r  2

 K×Q1×Q2

​ =−0.108

F=  0.25 9×10  9 ×Q1×Q2

​ =−0.108

Q1.Q2=−3×10  −12

 

Now on connecting them, since they are identical so they will have equal charges.

Final charge =  2 Q1+Q2

​  

Final force =F=  4×0.25 9×10  9  ×(Q1+Q2)  2

  =0.036

Q1+Q2=±2×10  −6

 

Q2=±1.0×10  −6

C,Q1=∓3.0×10  −6  C