Problem 29.60 An electron in a cathode-ray tube is accelerated through a potenti

Question

Problem 29.60

An electron in a cathode-ray tube is accelerated through a potential difference of 10 kV , then passes through the d = 1.5-cm -wide region of uniform magnetic field in the figure(Figure 1) .

Part A

What field strength will deflect the electron by = 14 ?

Express your answer to two significant figures and include the appropriate units.

Figure 1 of 1

Problem 29.60

An electron in a cathode-ray tube is accelerated through a potential difference of 10 kV , then passes through the d = 1.5-cm -wide region of uniform magnetic field in the figure(Figure 1) .

Part A

What field strength will deflect the electron by = 14 ?

Express your answer to two significant figures and include the appropriate units.

B =

Figure 1 of 1

10 kV

Explanation / Answer

speed gained v = sqrt(2E/m) = sqrt(2*10*10^3*1.6e-19/9.1e-31) = 59299945 m/s

Radius of circular path r = d/sin theta

= 0.015/sin 14 degree = 0.062 m

now Magnetic force qvB = mv^2/r

B = mv/qr

= 9.1e-31*59299945/(1.6e-19*0.062)

= 5.4*10^-3 T answer

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