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Question

A thin metallic spherical shell contains a charge +10 μC on it. A point charge +2 μC is placed at the centre of the shell and another charge +5 μC is placed outside it as shown. The force on the charge +2 μC at the centre is:

The correct answer is

Zero

The charge +2 μC at the center of the metallic spherical shell induces an equal and opposite charge (-2 μC) on the inner surface of the shell. However, the shell itself has a net charge of +10 μC, which is distributed uniformly on the outer surface. Since the shell is conducting and spherical, it produces no electric field inside, meaning the charge +2 μC experiences no force. Thus, the net force on the charge at the center is zero.

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Important Questions from Electric Charges and Fields

  1. Two charged particles, placed at a distance d apart in vacuum, exert a force F on each other. Now, each of the charges is doubled. To keep the force unchanged, the distance between the charges should be changed to:

  2. When a slab of insulating material 4 mm thick is introduced between the plates of a parallel plate capacitor of separation 4 mm, it is found that the distance between the plates has to be increased by 3.2 mm to restore the capacity to its original value. The dielectric constant of the material is:

  3. Match List - I with List - II.

    List - IList - II
    (A) Electric Field(I) [LTA]
    (B) Electric Flux(II) [L2]
    (C) Electric Dipole Moment(III) [ML3T−3A−1]
    (D) Area Vector Element(IV) [MLT−3A−1]

    Choose the correct answer from the options given below:

  4. In the figure, an α-particle moves a distance l in a uniform electric field E as shown. Does the Electric Field do a positive or a negative work on the α-particle? Does the electric potential energy of the α-particle increase or decrease?

  5. The force between two electric charges is expressed by the equation:

    F = (k q1 q2) / r2

    Which of the following is a correct statement?

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