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Paragraph for Questions 53 and 54: An is...

Paragraph for Questions 53 and 54: An isolated system consists of two conducting spheres A and B. Sphere A has five times the radius of sphere B. Initially, the spheres are given equal amounts of positive charge and are isolated from each other. The two spheres are then connected by a conducting wire.
Note: The potential of a sphere of radius R that carries a charge `Q` is `V = kQ//R`, if the potential at infinity is zero.
Which one of the following statements is true after the spheres are connected by the wire?

A

The electric potential of A is 1/25 as large as that of B.

B

The electric potential of A equals that of B.

C

The electric potential of A is 25 times larger than that of B.

D

The electric potential of A is 1/5 as large as that of B.

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Paragraph for Questions 53 and 54: An isolated system consists of two conducting spheres A and B. Sphere A has five times the radius of sphere B. Initially, the spheres are given equal amounts of positive charge and are isolated from each other. The two spheres are then connected by a conducting wire. Note: The potential of a sphere of radius R that carries a charge Q is V = kQ//R , if the potential at infinity is zero. Determine the ratio of the charge on sphere A to that on sphere B, q_A // q_B , after the spheres are connected by the wire.

    A
    1
    B
    `1//5`
    C
    `5`
    D
    `25`

  • A conducting sphere of radius r has a charge . Then .

    A
    the charge is uniformly distributed over its surface if there is an external electric field .
    B
    Distribution of charge over its surface will be non uniform if no external electric field exist in space,
    C
    Electric field strength inside the sphere will be equal to zero only when no external electric field exists
    D
    Potential at every point of the sphere must be same

  • Two conducting spheres of radii 5 cm and 10 cm are given a charge of 15mu F each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is

    A
    `5 muC`
    B
    `10 muC`
    C
    `15 muC`
    D
    `20 muC`