Home
Class 11
PHYSICS
Figure shows three large metallic plates...

Figure shows three large metallic plates with chrges `-Q, 3Q` and `Q` respectively. Determine the final charges on all the surfaces.

Text Solution

Verified by Experts

We assume that charge on surface `2` is x. Following conservation of charge, we see that surfaces `1` has charge `(-Q-x)`. The electric field inside the metal plate is zero so field at P is zero.

Resultant field at O : `E_(p)=0 rArr (-Q-x)/(2A epsilon_(0))=(x+3Q+Q)/(2A epsilon_(0))rArr -Q-x=x+4QrArr x=(-5Q)/2`
Note : We see that charges on the facing surfaces of the plates are of equal magnitude and opposite sign. This can be general proved by gauss theorem also. Remember this it is important result.
Thus the final charge distribution on all the surfaces is :
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Part -II Example Some worked out Examples|1 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Exercise-01|87 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Question|1 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges Q_1 , Q_2 , Q_3 , respectively. It is found that the surface charge denisties on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q_1:Q_2:Q_3 , is

Three large conducting sheets placed parallel to each other at a finite distance contain charges Q,-2Q, and 3Q , respectively. Find the electric fields at points A, B, C, and D.

Two conducting plates A and B are placed parallel to each other. A is given a charge Q_1 and B a charge Q_2 . Prove that the charges on the inner surfaces are of equal magnitude and opposite sign.

Two conducting hollow spherical shells of radius R and 2R carry charges -Q and 3Q respectively. How much charge will flow into the earth if inner shell is grounded?

Two very large thin conducting plates having same cross sectional area are placed as shown in figure. They are carrying chaerges Q and 3Q , respectivley. The variation of electric field as as function at x(for x=0 to x=3d ) will be best represented as by

Plates a and B constitutes an isolated, charge parallel plate capacitor. The inner surface (I and IV) of A and B have charge +Q and -Q respectively. A third plate C with charge +Q is now introduced midways between A and B. Which of the following statement is not correct?

Conisder a system of three charges q//3 , q//3 and -2q//3 placed at point A, B and C, respectively, as shown in the figure. Take O to be centre of the circle of radius R and angle CAB=60^@

Three concentric conducting spherical shells have radii r, 2r, and 3r and charges q_1,q_2 and q_3 , respectively. Innermost and outermost shells are earthed as shown in figure. The charges shown are after earthing. Select the correct alternative.

Four charges Q_(1), Q_(2), Q_(3) and Q_(4) oof same magnitude are fixed along the x axis at x=-2a, -a, +a and +2a , respectively. A positive charge q is placed on the positive y axis at a distance b gt 0 . Four options of the signs of these charges are given in List I. The direction of the forces on the charge q is given in List II. Match List I with List II and select the correct answer using the code given below the lists. {:(,"List-I",,,"List-II"),((P),Q_(1)","Q_(2)","Q_(3)","Q_(4) "all positive",,(1),+x),((Q),Q_(1)","Q_(2) " positive, "Q_(3)","Q_(4)" negative",,(2),-x),((R),Q_(1)","Q_(4)" positive ,"Q_(2)","Q_(3)" negative",,(3),+y),((S),Q_(1)","Q_(3)" positive , "Q_(2)","Q_(4)" negative",,(4),-y):}

A thermodynamic system is taken from an initial state I with internal energy U_i=-100J to the final state f along two different paths iaf and ibf, as schematically shown in the figure. The work done by the system along the pat af, ib and bf are W_(af)=200J, W_(ib)=50J and W_(bf)=100J respectively. The heat supplied to the system along the path iaf, ib and bf are Q_(iaf), Q_(ib),Q_(bf) respectively. If the internal energy of the system in the state b is U_b=200J and Q_(iaf)=500J , The ratio (Q_(bf))/(Q_(ib)) is

Home
Profile