Physics, asked by DCthegreat, 1 year ago

two identical metallic spherical shell A and B hqving charges +4 Q and -10 Q 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 sphere 'A' and 'B' are brought in contact and then separated. find the charge on the spheres 'A' and 'B'.

Answers

Answered by gcsindhu6
107
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Answered by rubhesh
10

Answer:

Explanation:

Given Data

The charge on the first spherical shell is :  

Q 1 = 4 Q

The charge on the second spherical shell is :  

Q 2 = − 10 Q

The charge on the third spherical shell is :  

Q3 = 0

The expression for each charge when the first and third sphere comes in contact with each other.

Q 1 ′ = Q1 + Q 3 /2

Q 3 ' = Q 1 + Q 3 /2

Substitute the given values of the charge.

Q 1 ′ = 4 Q +0 /2 = 2 Q  

Q3 ′ = 4 Q + 0 /2 = 2 Q

The expression for each charge when the second and third spherical shell comes in contact.

Q 2 ′ = Q 2 +Q 3' /2

Q 3 ′ ′ = Q 2 + Q 3 ′/ 2

Substitute the given values of the charge.

Q 2 ′ = − 10 Q + 2 Q/2  = − 4 Q

Q 3 ′ ′ = − 10 Q+ 2 Q /2 = − 4 Q

The expression for the electric potential when the first and the second spherical shell comes in contact with each other.

Q  1'' = Q 1 ′ + Q 2 ′/ 2  

Q2 ′ ′ = Q 1 ′ + Q 2 ′ /2

Substitute the given values in the above expression.

. Q 1 ′ ′ = 2 Q − 4 Q /2 = − Q  

Q2 ′ ' = 2 Q−4 Q /2 = − Q

Thus, the final charge on the first spherical shell is  

Q

and the third spherical shell is  

Q

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