A 50mT magnetic field points in the positive z-direction as shown below. An elec

Question

A 50mT magnetic field points in the positive z-direction as shown below. An electron moving in the y-z plane enters the magnetic field with a speed of 4.0 x 10^6 m/s at an angle of 30 degrees above the y-axis. Because the electron has a component of its velocity parallel to the field, it follows a helical trajectory. Find the radius (r) and pitch (p) of the electron's helical trajectory. (HINT: the pitch is the vertical distance the particle moves during one revolution. Find the time it takes to make one revolution: the period. It will help to recall how period and frequency are related)

Explanation / Answer

Radius= mvsin(theta)/qB

= 9.1 * 10-31 * 4 * 106 /2 * 1.6 * 10-19 * 50 * 10-3

   = 2.275 mm

Pitch = v(parallel) T

T = 2pie r/ v * 1.732

Put value of T in pitch equation and find out .

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