Practicing Success
A charged particle with charge q enters a region of constant, uniform and mutually orthogonal fields E and B with a velocity v perpendicular to both E and B, and comes out without any change in magnitude or direction of v. Then |
v $= \frac{E×B}{B^2}$ v $= \frac{B×E}{B^2}$ v $= \frac{E×B}{E^2}$ v $= \frac{B×E}{E^2}$ |
v $= \frac{E×B}{B^2}$ |
As v of charged particle is remaining constant, it means force acting on charged particle is zero. So, q(v × B) = qE ⇒ v × B = E ⇒ v $= \frac{E×B}{B^2}$ |