A uniform electric field exists in the region given by vec `E=E_(o)hat i+E_(o)hat j` . There are four points `A(-a, 0)`, `B(0, a)`, `C(0 ,-a)` and `D(a ,0)` lying in the x -y plane.Which of the following is the correct relation for the electric potential?

The electric field in a region of space is given by E = (5 hat(i) + 2hat(j))N//C . The electric flux due to this field through an area 2m^(2) lying in the YZ plane, in S.I. unit is :-

Consider the motion of a positive point charge in a region where area simultaneous uniform electric and magnetic fields vec(E) = E_(0) hat(j) and vec(B) = B_(0) hat(j) . At time t = 0 , this charge has velocity vec(v) in the x-y plane , making an angle theta with the x-axis . Which of the following option(s) is (are) correct for time t gt 0 ?

In a region of space uniform electric field is present as vec(E)=E_(0)hat(j) and uniform magnetci field is present as vec(B)=B_(0)hat(j) . An electron is released from rest at origin. Which of the following best represent the path followed by electron after released. (E_(0) & B_(0) are positive constants )

A uniform electric field exists in x y plane as shown in Fig. 3.45. Find the potential difference. Between origin O and A(d,d,0) . .

The potential field of an electric field vec(E)=(y hat(i)+x hat(j)) is

The electric field in a region is given by vec(E)=E_(0)x hat(i) . The charge contained inside a cubical volume bounded by the surface x=0, x=2m, y=0, y=2m, z=0 and z=2m is n epsi_(0)E_(0) . Find the va,ue of n.

The electric field in a region of space is given bar(E)=E_(0)hat i+2E_(0)hat j where E_(0)=100N/C .The flux of this field through a circular surface of radius 0.02m parallel to the Y-Z plane is nearly:

An electric field is described as vec(E) = hat(i)x + hat(k) z . The potential difference V_(AB) (in volt) between A(0,0,0) and B(2,2,0) is :