Chapter 28, Problem 009 Your answer is partially correct. Try again. In the figu

Question

Chapter 28, Problem 009 Your answer is partially correct. Try again. In the figure, an electron accelerated from rest through potential difference V,-1.07 kV enters the gap between two parallel plates having separation d = 18.4 mm and potential difference V2- 92.3 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap? j 5016.3 2.59e-4 k) Units Number mT

Explanation / Answer

Here force due to electric field is balanced by force due to magnetic field

qE=qvB

B=E/v

SInce

V2 = E d

=>E =92.3/0.0184 =5016.3 V/m

By Conservation of energy   

(1/2)mv2=qV1

(1/2) * 9.11*10-31 *v2 = 1.6*10-19*1070

v =1.94*107 m/s

=>B=5016.3/(1.94*107)=2.587*10-4T

In unit vector notation

B = - (2.587*10-4) k

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