A uniform electric field `E_0` is directed along positive y-driection. Find the change in electric potential energy of a positive test charge `q_0` when it is displaced in this field from `y_i=a` to `y_f=2a` along the y-axis.

Let there be a uniform electric field "E" existing along the positive X-direction.Assume electric potential to be zero at the origin.Potential at the point x=x_(0) is

A proton is placed in a unifrom electric field directed along the positive x-axis. In which direction willl it tend to move?

A positively charged particle with specific charge sigma leaves the origin with a velocity u directed along positive x direction. The entire space has a uniform electric field (E) and magnetic field (B) directed along the positive y direction. Find the angle that the velocity of the particle makes with y direction at the instant it crosses the y axis for n^(th) time.

A positively charged particle is released from rest in a uniform electric field. The electric potential energy of the charge.

In a region of space a uniform magnetic field exist in positive z direction and there also exists a uniform electric field along positive y direction. A particle having charge + q and mass m is released from rest at the origin. The particle moves on a curve known as cycloid. If a wheel of radius R were to roll on the X axis, a fixed point on the circumference of the wheel would generate this cycloid. Find the radius R. It is given that strength of magnetic and electric fields are B0 and E0 respectively.