1.

A point charge is moving with a constant velocity perpendicular to a uniform magnetic field as shown in the figure. What should be the magnitude and direction of the electric field so that the particle moves undeviated along the same path?

Answer»

For particle to move undeviated, 

q vector E + q vector v x vector B = 0

=> vector E = - vector v x vector B

Given vector v = -v i cap, vector B = -Bk cap

∴ vector E = - (-vi cap) x (- Bk cap) = -vB(-j cap) = vBj cap

i.e., magnitude of electric field is vB and its direction is along positive Y-axis.



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