A 150-V DC power supply is connected across two parallel metal plates of area 40

Question

A 150-V DC power supply is connected across two parallel metal plates of area 40 cm2 and separation 8.0 mm. A beam of alpha particles is accelerated from rest in potential difference of 1.75 kV and enters the region between the plates perpendicular to the electric field. Find magnitude and direction of magnetic field that would be needed so that the alpha particles emerge undeflected from between the plates.

Explanation / Answer

KE = q*V ===> 0.5*m*v^2 = q*V ===> v = sqrt(2*q*V/m) = 4.094*10^5 m/s when Fb = Fe the alfa can move with out difflecting ======> q*v*B = q*E ======> q*v*B = q*V/d ======> B = V/(d*v) = 0.045 T the direction of B should be perpendicular to E and velocity of the alfa particle.

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