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The diagram shows the arrangement of thr...

The diagram shows the arrangement of three small uniformally charged spheres, `A,B` and `C`. The arrow indicate the direction of the electrostatic forces acting between the spheres (for example, the left arrow on sphere `A` indicates the electronstatic force on sphere `A` due to sphere `B`). At least two of the spheres are positively charged. Which sphere, if any, could be negatively charged?

A

sphere A

B

sphere B

C

sphere C

D

no sphere

Text Solution

Verified by Experts

The correct Answer is:
A
It can be seen from the diagram that only the sphere B and C repel. Hence they both must e of same type. According to the fact that at least two spheres are positively charged, therefore both spheres should be positively charged. Since attraction occurs for two remaining pairs it can be concluded that the sphere A is negatively charged.
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Knowledge Check

  • The electric field between the two spheres of a charged spheres condenser

    A
    is zero
    B
    is constant
    C
    increase with distance from centre
    D
    decrease with distance from centre

  • Three identical spheres, each having a charge q and radius R. are kept in such a way that each touches the other two. The magnitude of the electric force on any sphere due to the other two is

    A
    `(1)/(4 pi epsilon_(0))((q)/(R ))^(2)`
    B
    `(sqrt(3))/(4 pi epsilon_(0))((q)/(R ))^(2)`
    C
    `(sqrt(3))/(16 pi epsilon_(0))((q)/(R ))^(2)`
    D
    `(sqrt(5))/(16 pi epsilon_(0))((q)/(R ))^(2)`

  • Two spheres of radius a and b respectively are charged and joined by a wire. The ratio of electric field of the spheres is

    A
    `a//b`
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