Home
Class 12
PHYSICS
An uncharged conducting large plate is p...

An uncharged conducting large plate is placed as shown. Now an electric field E towards right is applied. Find the induced charge density on the right surface of the plate.

A

`-epsilon_0E`

B

`epsilon_0E`

C

`-2epsilon_0E`

D

`2epsilon_0E`

Text Solution

Verified by Experts

The correct Answer is:
B
b. Net electric field at point P should be zero. For this electric field due to induced charges is equal to the applied electirc field. So,

`sigma/epsilon_0 = E or sigma = epsilon_0E`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTRIC FLUX AND GAUSS LAW

    CENGAGE PHYSICS|Exercise Multiple Correct|8 Videos

  • ELECTRIC FLUX AND GAUSS LAW

    CENGAGE PHYSICS|Exercise Comprehension|36 Videos

  • ELECTRIC FLUX AND GAUSS LAW

    CENGAGE PHYSICS|Exercise Subjective|12 Videos

  • ELECTRIC CURRENT AND CIRCUIT

    CENGAGE PHYSICS|Exercise Interger|8 Videos

  • ELECTRIC POTENTIAL

    CENGAGE PHYSICS|Exercise DPP 3.5|14 Videos

Similar Questions

Explore conceptually related problems

Find the electric field at the center of the sphere due to the induced charges on the surface of the sphere, as shown in Fig. 22-30.

Three charged conducting plates are separated by small distances as shown in figure. The charges on the plates are shown. Find the ratio of charge on right surface and left surface of the middle plate.

Knowledge Check

  • A charge q is uniformly distributed over a large plastic plate. The electric field at a point P close to the centre and just above the surface of the plate is 50 V/m. If the plastic plate is replaced by a copper plate of the same geometrical dimensions and carrying the same uniform charge q, the electric field at the point P will become :

    A
    zero
    B
    25 V/m
    C
    50 V/m
    D
    100 V/m

  • The electron is projected from a distance d and with initial velocity u paralle to a uniformly charged flat conducting plate as shown. It strikes the plate arfter travelling a distance l along the direction. The surface charge density of the conducting plate is equal to

    A
    `(2d epsilon_(0) m u^(2))/(el^(2))`
    B
    `(2 d epsilon_(0) m u)/(el)`
    C
    `(d epsilon_(0) m u^(2))/(el)`
    D
    `(d epsilon_(0) m u)/(el)`

  • Two large plates are given the charges as shown in figure. Now, the left plane is earthed. Find the amount of charge that will flow from the earth to the plate.

    A
    `14muC`
    B
    `-14muC`
    C
    `7muC`
    D
    `-7muC`

    • Similar Questions

    Explore conceptually related problems

    Two conducting plates X and Y, having large surface area A (on one side), are placed parallel to each other as shown in figure. The plate X is given a charge Q whereas the other is neutral. Find : (a) The surface charge density at the inner surface of the plate X, (b) The electric field at a point to the left of the plates, (c) The electric field at a point in between the plates and (d) The electric field at a point to the right of the plates.

    Two conducting plates (vety large) parallel to each other carrying total chage sigma A and - 2 isgma A respectievly where A = area of each plate are palced in a unifrom external electric field . E . Find the surface dinsity charge density on each surface . .

    When an uncharged conducting ball of radius R is placed in an external uniform electric field, a surface charge densityh sigma = sigma_(0) cos theta is induced on the ball's surface charge (here sigma_(0) is a constant, theta is a polar angle). Find the magnitude of the resultant electric force acting on an induced charge of the same sign.

    Two large conducting plates X and Y. each having large surface area A (on one side), are placed parallel to each other as shown in figure (30-E7). The plate X ia given a charge Q whereas the other is neutral. Find (a) the surface charge dendity at the inner surface of the plates X, (b) the electric field at a point to the left of the plates, (c) the electric field at a point in between the plates and (d) the electric field at a point to the right of the plates.

    A solid conducting sphere of radius R is placed in a uniform electric field E as showo in figure. Due to electric field non uniform surface charges are induced on the surface of the sphere. Consider a point A on the surface of sphere at a polar angle theta from the direction of electric field as shown in figure. Find the surface density of induced charges at point A in terms of electric field and polar angle theta : lt brgt

    Home
    Profile