Find the ratio of the field created during the cyclotron motion to the external

Question

Find the ratio of the field created during the cyclotron motion to the external field

What kind of magnetic phenomenon is produced by this effect?

Consider an electron in a cyclotron motion with the velocity v 1.500 × 106 m/s perpendicular to the magnetic field of strength B = 1.00 × 10-3 T. Find the ratio of the field created during the cyclotron motion to the external field. Number Be cyc What kind of magnetic phenomenon is produced by this effect? O Paramagnetism OFerromagnetism O Diamagnetism. O This effect produces no magnetic phenomenon

Explanation / Answer

here,

v = 1.5 * 10^6 m/s

B = 1 * 10^-3 T

radius , r = m * v /( q*B)

r = 9.1 * 10^-31 * 1.5 * 10^6 /( 1.6 * 10^-19 * 10^-3)

r = 8.53 * 10^-3 m

frequency , f = 1/T = v /(2*pi*r )

f = q*B/(2*pi*m)

f = 1.6 * 10^-19 * 1 * 10^-3 /( 2 * pi* 9.1 * 10^-31)

f = 2.8 * 10^7 Hz

current , I = f * charge

I = 2.8 * 10^7 * 1.6 * 10^-19

I = 4.48 * 10^-12 A

magnetic feild , Be = u0 * I /( 2 * pi * r)

Be = 1.26 * 10^-6 * 4.48 * 10^-12 /( 2*pi*8.53 * 10^-3)

Be = 1.05 * 10^-16 T

Be/B = (1.05 * 10^-16 T) /( 1 * 10^-3)

Be/B = 1.05 * 10^-13 T

the kind of magnetic phenomenon is produced by this effect is Diamagnetism

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