Lay Y.

asked • 04/05/18

a physics subject question

In Bohr’s model of the hydrogen atom, the electron travels with the speed of 2.2 x 106 m/s in a circle (r= 5.3 x 10-11 m) about the nucleus. Find the value of the magnetic field at the nucleus because of the electron’s motion.

Arturo O.

Use the relation for magnetic field at the center of a circular loop.
 
B = [μ0/(4π)] 2πi/r
 
i = -e/T
 
T = 2πr/v ⇒
 
B = [μ0/(4π)] (2π/r) [-e/(2πr/v)]

B = -μ0ev / (4πr2)
 
You have v and r.  Look up μ0 and e in SI units, plug in the numbers, and get B in units of Teslas.
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04/06/18

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