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A point charge + q placed at distanced f...


A point charge + q placed at distanced from on isolated conducting plane. Field at point P on other side of the plane is directed:

A

perpendicular to the plane but towards the plane

B

perpendicular to the plane but away from the plane

C

radially away from the point charge

D

Radially towards the point charge

Text Solution

Verified by Experts

The correct Answer is:
B
Perpendicular to the plane but away from the plane
Explanation: Due to induction by positive charge, the plane will be acquire positive charge.
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Knowledge Check

  • A point charge +q, is placed at a distance d from an isolated conducting plane. The field at a point P on the other side of the plane is

    A
    directed perpendicular to the plane and away from the plane.
    B
    directed perpendicular to the plane but towards the plane.
    C
    directed radially away from the point charge.
    D
    directed radially towards the point charge.

  • A point charge +q is placed at a distance d from an isolated conducting plane. The field at a point P on the other side of plane is

    A
    directed perpendicular to the plane away from the plane
    B
    directed perpendicular to the plane but towards the plane
    C
    directed radially away from the point charge
    D
    directed radially towards the point charge

  • A point charge +q is placed at a distance d from an isolated conductin plane. The field at a point P on the other side of the plane is

    A
    directed perpendicular to the plane and away from the plane.
    B
    directed perpendicular to the plane but towards the plane.
    C
    directed radially away from the point charge.
    D
    directed radially towards the point charge.

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    The method of electrical images is used to solve the electrostatic problems, where charge distribution is not specified completely. The method consists of replacement of given charge distribution by a simplified charge distribution or a signal point charge or a number of point charges [rovided the original boundary conditions are still satisfied. For example consider a system consider a system containing a point charge q placed at a distance d of form an infinite conducting plane. The boundary conditions are : (i) Potential is zero at infinity (ii) Potential is zero at each point on the conducting plane If we replaced the conducting plane by a point charge (-q) placed at a distance 'd' opposite to conducting plane. The charge (-q) is called the electrical image. Now system consists of two charge +q an -q at seperation 2d . If charge +q moves to a distance 'y' from the boundary of conducting plane (now absent), the electrical image -q also moves to the same 'y' from the boundary of conducting plane, so that the new distance between +q and -q is 2y The work done in carrying charge q from distance d to distance y from earthed conducting plane is

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