An electron (see its parameters on the front page) with a negligible initial vel

Question

An electron (see its parameters on the front page) with a negligible initial velocity enters the 'pace between two plate with the electric potential of 10000 V between them. It accelerates toward the other plate and passes through the opening A in it. What is the electron's speed when it reaches point A? On the other side of the plate there is a region with a constant magnetic field B = 0.1 The electron moves in a semi-circle and hits the plate at the point D. What is the distance between A and D? How long does it take for the election to trawl that distance? What is the direction of the magnetic field B? Draw on the picture.

Explanation / Answer

part a )

energy conservation

KE = PE

mv^2/2 = qV

m = mass of electron = 9.11 x 10^-31 kg

q = 1.6 x 10^-19 C

v = sqrt(2qV/m)

v = 5.93 x 10^7 m/s

part b )

r = mv/qB

r = 3.375 x 10^-3 m/s

part c )

t = distance/speed

t = 5.69 x 10^-11 s

part d )

upwards

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