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6 ELECTROMAGNETISM

P60 011

An electron travels at 2.00´10⁷ m.s^-1 in a plane perpendicular to a 0.0178 T magnetic field.

(a) Describe the path of the electron.

(b) Calculate the radius of the circular orbit.

(c) Calculate the period of motion.

(d) Calculate the frequency of the electron.

(e) Calculate the angular frequency of the electron.

(f) If the magnetic field was doubled in strength, how would the above answers change?

View solution below only after you have completed the answering the question.

Solution

(a)

right hand palm rule Þ electron travels in a circular orbit

(b c d e)

v = 2.0´10⁷ m.s^-1 |q| = 1.602´10^-19 C m = 9.11´10^-31 kg

R = ? m T = ? s f = ? Hz

Magnetic force = centripetal force

(f)