A cube of side `l` has one corner at the origin of coordinates and extends along the positive `x-,y- and z-axes.` Suppose that the electric field in this region is given by `vec E = (a+by)hatj`. Determine the charge inside the cube (a and b are some constants).

Due to a charge inside the cube, the electric field is: E_(x) = 600x, E_(y) = 0, E_(z) = 0. The charge inside the cube is nearly -

A cube is placed so that one corner is at the origin and three edges are along the x-,y-, and ,z-axes of a coordinate system (figure).Use vector to compute a.The angle between the edge along the z-axis (line ab) and the diagonal from the origin to the opposite corner (line ad). b. The angle between line ac (the diagonal of a face ) and line ad.

A cube has sides of length L = 0.2 m. It is placed with one corner at the origin as shown in figure. The electric field is uniform and given by E= (2.5 N//C) hati - (4.2 N//C) hatj . Find the electric flux through the entire cube.

A cube has sides of length L=0.2 m It is placed with one corner at the origin as shown in figure The electric field in uniform and given by vec(E)=(2.5hat(i)-4.2hat(j))N//C .Find the electric flux through the entire cube.

The electric fields in a region is given by vec(E)=E_(0)(x)/(L)hat(i) ,Find the charge contained inside a cubical volume bounded by the surface x=0,x=L,y=0,y=L,z=0,z=L .

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

A cube is given and it has -q charge in one corner and +q charges in all the remaining 7 corners. Find the electric field at the center of the cube

A cube of side b has a charge q at each of its vertices. Determine the potential and electric field due to this charge array at the center of the cube.