The electric field in a region is given by `E=ahati+bhatj`. Hence as and b are constants. Find the net flux passing through a square area of side `I` parallel to y-z plane.

The electric field in a region is given by E=alphaxhati . Here alpha is a constant of proper dimensions. Find a. the total flux passing throug a cube bounded by the surface x=l, x=2l, y=0, y=l, z=0, z=l . b. the charge contained inside in above cube.

The electric field in a region is given by vec (E ) = (E_(0))/(a) x hat(i) . Find the electric flux passing through a cubical volume bounded by the surfaces x = 0 , x = a , y = 0 , y = a , z = 0 and z = a .

A cube has sides of length L. It is placed with one corner at the origin as shown in figure. The electric field is uniform and given by E = - B hati + Chatj - Dhatk , where B, C and D are positive constants. (a) Find the electric flux through each of the six cube faces S_1, S_2, S_3 , S_4 and S_5 and S_6 . (b) Find the electric flux through the entire cube.

The electric field in a region of space is given by E=5hati+2hatjN//C . The flux of E due ot this field through an area 1m^2 lying in the y-z plane, in SI units is

The electric field in a region is given by E = 3/5 E_0hati +4/5E_0j with E_0 = 2.0 × 10^3 N//C . Find the flux of this field through a rectangular surface of area 0.2 m^2 parallel to the y-z plane.

If the electric field is given by 3 hat(i) + 2 hat(j) + 6 hat(k) . Find the electric flux through a surface area 20 unit lying in xy plane

Write the equation of the plane passing through (2, -1,1) and parallel to the plane 3x+2y-z=7.

A cube has sides of length L . It is placed with one corner at the origin ( refer to Fig.2.119). The electric field is uniform and given by vec€ = - B hat (i) + C hat (j) - D hat(k) , where B , C , and D are positive constants. The total flux passing through the cube is

The electric field in a region is given by vecE=3/5 E_0veci+4/5E_0vecj with E_0=2.0 xx 10^3 N C^(-1) . Find the flux of this field through a recatngular surface of area 0.2m^2 parallel to the y-z plane.

A square of side L meters lies in the x-y plane in a region, where the magnetic field is given by B = B_(0) (2 hati + 3 hat j + 4 hatk) T, where B_(0) is constant. The magnitude of flux passing through the square is