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a) Which of the following describes the shape of the portion of path 1 between t

ID: 1373868 • Letter: A

Question

a) Which of the following describes the shape of the portion of path 1 between the plates?

Circular, Parabolic, Hyperbolic, Exponential

Justify your answer.

What is the direction of the electric field?

Justify your answer.

b) Which of the following describes the shape of the the portion of path 3 beween the plates?

Circular, Parabolic, Hyperbolic, Exponential

Justivy your answer.

What is the direction of the magentic field?

Justify your answer.

Between the plates the magnitude of the electric field is 3.4 x 104 V/m, and the magnitude of the magnetic field is 2.0 x 10-3 T.

c) Calculate the speed of the electrons given that they are undeflected when both fields are present.

d) Calculate the potential difference V0 required to accelerate the electrons to the speed determnined in part (c).

Electrons are accelerated from rest through a potential difference V0 and then pass through a region between two parallel metal plates. as shown above. The region between the plates can contain a uniform electric field E and a uniform magnetic field B. With only the electric field present, the electrons follow path 1. With only the magnetic field present, the electrons follow path 3. As drawn, the curved paths between the plates show the correct direction of deflection for each field, but not necessarily the correct path shape. With both fields present, the electrons pass undeflected along the straight path 2.

Explanation / Answer

part A: Circular

Part B: cirCular

part C:

the relation ship between Electric field and magnetic field is given by
E = Bv

where v is speed

so

v = E/B = 3.4e4/(2.e-3)

v = 1.7 *10^7 m/s

----------------------------------------

apply KE = , PE

0.5 mv^2 = eV

potnetial Diff V = 0.5* 9.11e-31 * 1.7 e7 *1.7 e7/(1.6 e-19)

V = 822.7 Volts

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