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A 10 C charge is given to a conducting s...

A 10 C charge is given to a conducting spherical shell, and a-3 C point charge is placed inside the shell. For this arrangement, find the correct statement(s).

A

The charge on the inner surface of the shell will be `+3 C`, and it can be distributed uniformly or nonuniformly

B

The charge on the inner surface of the shell will be `+3 C`, and it can be distributed would be uniform.

C

The net charge on the outer surface of the shell will be` _7 C`, and its distribution can be uniform or nonuniform

D

The net charge on the outer surface of the shell will be `_7 C`, and its distribution would be uniform.

Text Solution

Verified by Experts

The correct Answer is:
A, D
Due to induction , charges on various faces are as shown in Fig. S2.52.
Charge on the inner surface of the shell is `+ 3 C`.
Net charge on the outer surface of the shell is `- 3 C + 10 C = + 7 C`.
Distribution of charge on the inner surface would be uniform if charge is placed at the center , otherwise nonuniform . On outer surface , charge would be always uniformly distributed as the displacement of inside charges does not affect the distribution of the outer charge.
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Knowledge Check

  • We have an isolated conducting spherical shell of radius 10 cm . Some positive charge is given to it so that the resulting electric field has a maximum intensity of 1.8 xx 10^6 NC^-1 . The same amount of negative charge is given to another isolated conducting spherical shell of radius 20 cm . Now, the first shell is placed inside the second so that both are concentric as shown in (Fig. 3.154). . The electric potential at any point inside the first shell is.

    A
    `18 xx 10^4 V`
    B
    `9 xx 10^4 V`
    C
    `4.5 xx 10^4 V`
    D
    `1.8 xx 10^4 V`

  • We have an isolated conducting spherical shell of radius 10 cm . Some positive charge is given to it so that the resulting electric field has a maximum intensity of 1.8 xx 10^6 NC^-1 . The same amount of negative charge is given to another isolated conducting spherical shell of radius 20 cm . Now, the first shell is placed inside the second so that both are concentric as shown in (Fig. 3.154). . The electric field intensity just inside the outer sphere.

    A
    `4.5 xx 10^5 NC^-1`
    B
    `9 xx 10^5 NC^-1`
    C
    `4.5 xx 10^4 NC^-1`
    D
    `5 xx 10^4 NC^-1`

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    A
    nothing will happen.
    B
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    C
    charge on both spheres will be positive.
    D
    entire amount of the energy stored in the system will convert into heat.