Electric Charges and Fields

is the uniform surface charge density of a thin spherical shell of radius R. The electric field at any point on the surface of the spherical shell is :

1. / 0 R
2. / 0
3. / 2 0
4. / 4 0

Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point P is x 0. The value of x is (all quantities are measured in SI units). [figure]

Two identical conducting spheres P and S with charge Q on each, repel each other with a force 16 N. A third identical uncharged conducting sphere R is successively brought in contact with the two spheres. The new force of repulsion between P and S is :

1. 1 N
2. 6 N
3. 12 N
4. 4 N

In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the order of :

1. 1019
2. 1039
3. 1029
4. 1036

The vehicles carrying inflammable fluids usually have metallic chains touching the ground:

1. To protect tyres from catching dirt from ground
2. It is a custom
3. To alert other vehicles
4. To conduct excess charge due to air friction to ground and prevent sparking

The electric field at point P due to an electric dipole is E. The electric field at point R on equatorial line will be Ex. The value of x : [figure]

An infinitely long positively charged straight thread has a linear charge density Cm-1. An electron revolves along a circular path having axis along the length of the wire. The graph that correctly represents the variation of the kinetic energy of electron as a function of radius of circular path from the wire is :

1. [figure]
2. [figure]
3. [figure]
4. [figure]

An infinite plane sheet of charge having uniform surface charge density + s C/m2 is placed on x-y plane. Another infinitely long line charge having uniform linear charge density + e C/m is placed at z=4 m plane and parallel to y-axis. If the magnitude values | s|=2| e| then at point (0,0,2), the ratio of magnitudes of electric field values due to sheet charge to that of line charge is n:1. The value of n is .

A charge q is placed at the center of one of the surfaces of a cube. The flux linked with the cube is:

1. q2 0
2. Zero
3. q4 0
4. q8 0

Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle with each other. When suspended in water the angle remains the same. If density of the material of the sphere is 1.5 g/cc, the dielectric constant of water will be . (Take density of water = 1 g/cc)