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About the Author

Fitquip is one of the leading Gym equipment providers of Australia with Orbit Treadmill, Treadmill Hire, Gofit, Cardio tech, Orbit Crosstrainer.

Exercise Orbital Questions

Magnetic fields and forces a exercise, help!?

Magnetic moment of a hydrogen atom. In the Bohr model of the hydrogen atom in the lowest energy state the electron orbits the proton at a speed of 2.2 x 10 ^ 6 m / s in a circular orbit of 5.3 x10 ^ -11 m radius.

a) What is the electron orbital period?
b) If one considers the orbiting electron as a current loop, what is the current i?
c) What is the magnetic moment of the atom due to electron motion?

thanks 5 stars!!

a) v = 2.2*10^6 m/s
radius = 5.3*10^-11 m

circumference = 2*pi * r = 3.33*10^-10

time = distance/speed = 1.514*10^-16 seconds

b) dI = dQ/dt

therefore I = Q/time
since Q is one electron that e = 1.6*10^-19 coul

I = 1.6*10^-19/1.514*10^-16 = 1.06*10^-3 amps

c) M = I * Area
= 1.06*10^-3* pi*(5.3*10^-11)^2
= 9.35*10^-24

you can use the equations to simplify the equation for M first

M = I * Area
M = e/T * pi*r^2
M = (e/((2pi*r)/v))* pi*r^2

rearranging the first part

M = (e*v/(2*pi*r)) * pi *r^2
M = (e*v/2) * r
M = e*v*r/2

then you can put in the values

M = (1.6* 10^-19* 2.2*10^6*5.3*10^-11)/2
M = 9.328*10^-24

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