Question

Two identical metallic spherical shells A and B having charges +4Q and -10Q are kept at a certain distance apart.A third identical uncharged sphere C is first placed in contact with sphere A and then with sphere B,then spheres A and B are brought in contact and then seperated.Find the charge on spheres A and B .

Answer 1

A have charge = +4Q

B have charge = -10Q

Chace charge = 0Q ( uncharged )

Firstly A and C in contact :-

A = C = ( +4+0 ) / 2

A = C = +2Q

Now , B and C in contact :-

B = C = ( - 10 + 2 ) / 2

B = C = -4Q

Now A and B in contact :-

A = B = ( - 4 + 2 ) / 2

A = B = - Q charge

So A and B have - Q charge !

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Answer 2

Explanation:

when A has +4 Q

B has -10Q

C has 0 Q

we brought A and C in contact, so

(a+c)

= ------

2

= 4+0

------

2

= +2 Q

same, now B and C are in contact

(b+c)

= -------

2

= -10+2

-------

2

= -4Q

here, A and B are in contact so that

(A + B)

= ---------

2

= +2-4

-------

2

= -1 Q

or

= -Q

therefore when charge a and b are brought in contact and then removed.

the charge on each spear is - Q charge.