1. An electron is moving along a circular trajectory (clockwise) in a magnetic f

Question

1. An electron is moving along a circular trajectory (clockwise) in a magnetic field as shown in Fig. 1. Its X

component of the velocity follows an equation VX = A * sin((ohm)t), cm / s (A<0) , and the sinusoidal form is

depicted in Fig. 1. At the starting point t=0, the electron coordinates are y=0 and x=+r, where r is the radius of gyration. Answer the following questions, report your results into a Table on the front page:
1) What is the angular frequency of gyration?
2) What is the kinetic energy of the electron in eV?

3) What is the radius of gyration?
4) What is the magnetic field magnitude and direction? Report in vector notation:

B= _____ xˆ +_____+ yˆ + _______+ zˆ (Teslas)
5) Compute the Y coordinate of the electron at time t=0.5 s?

Explanation / Answer

1)angular velocity=w=2X3.14/T=6.28/6=1.046rad/sec

2)the kinetic energy of the electron in eV=1/2X9.1X10-31X15X15XX16.625X1018ev=6.398X10-10ev

3)the radius of gyration=A

4) magnetic field direction will be along Z diection

5)at t=1/2sec y=A cos (sigma/2)

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