The electric field components are `E_(x)=alphax^(-1//2),E_(y)=E_(z)=0` in which `alpha =800 N//C m^(1//2)` calculate (a) the flux through the cube and (b) the charge within the cube asume that a=0.1 m

A cube of each side a is kept in an electric field given by E=cx (as shown in the figure) where c is a positive dimensional constant. Find out (i) The electric flux through the cube and (ii) The net charge inside the cube.

The electric field in a region is given by overset-E=alphaxoverset^i Here a is a constant of proper dimension. Find the total flux passing through a cube bounded by the surfaces, x=l,x=2l,y=0,y=l,z=0,z=l

In vacuum (i) find out the electric flux across an area vec S = 10 hatj placed in an electric field vec E = 2 hati + 4 hatj + 7 hatk , (ii) How many electric charges are to be placed at a point such that 4400 number of electric lines of forces with emerge from that point ? (iii) What will be the electric flux through any one of the faces of a cube of side 10 cm if a charge of 1 esu is placed at the centre of the cube ?

If z_1a n dz_2 are the complex roots of the equation (x-3)^3+1=0,t h e nz_1+z_2 equal to a. 1 b. 3 c. 5 d. 7

A point charge of 12muC is placed at the centre of a cube of side 1m. What will be the electric flux passing through each face of the cube?

A circular copper ring of radius r, placed in vacuum, has charge q on it. The electric field intensity at the centre of the ring is E_(1) . The electric field intensity on the axis of the ring at a distance x from its centre is E_(2) . The value of E_(2) will be maximum when x=x' What is the value of E_(1) ?

A circular copper ring of radius r, placed in vacuum, has charge q on it. The electric field intensity at the centre of the ring is E_(1) . The electric field intensity of the axis of the ring at a distance x from its centres is E_(2) . The value of E_(2) will be maximum when x=x' What is the value of E_(2) ?

A circular copper ring of radius r, placed in vacuum, has charge q on ti. The electric field intensity at the centre of the ring is E_(1) . The electric field intensity of the axis of the ring at a distance x from its centres is E_(2) . The value of E_(2) will be maximum when x=x' What is the value of x' ?