Answered: A 5cm by 5cm rectangular coil of wire…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 64PE: (a) Use the distance and velocity data in Figure 3.64 to find the rate of expansion as a function of...

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A 5cm by 5cm rectangular coil of wire with 500 turns carrying a current of 0.1 amos comprising the armature of an electric motor lies in the xy plane. The coil is subjected to a uniform magnetic field B with strength 0.05 Tesla in the z direction as shown in the figure. The armature is free to rotate without friction about the x axis with an assoxiated moment of inertia of 1 x 10^-2 kgm^2. Initially the armature is in the (unstable) equilibriu, with magnetic moment m. antiparallel to B, but it begins to rotate after a slight nudge. What is the change in potential energy, and what is its rotation rate, when m is parallel to B?

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3. What is the magnetic moment M of the wire loop in the previous problem
(magnitude and direction)? How much energy is required to flip the loop over?
4. A 5 cm x 5 cm rectangular coil of wire with 500 turns carrying a current
of 0.1 amps comprising the armature of an electric motor lies in the xy plane.
The coil is subjected to a uniform magnetic field B with strength 0.05 Tesla in
the z direction, as shown in the figure. The armature is free to rotate without
friction about the x axis with an assciated moment of intertia of 1 x 10-2 kgm? .
Initially the armature is in (unstable) equilibrium, with magnetic moment M
antiparallel to B, but it begins to rotate after a slight nudge. What is the change
in potential energy, and what is its rotation rate, when M is parallel to B?
B'= 0.05TA
'T=0.1A y
5. In the hydrogen atom, the light-weight electron is attracted to the much
heavier nucleus by the Coulomb force. This is analogous to the gravitational
attraction between a light-weight planet and the sun; both Coulomb and grav-
itational forces grow weaker with distance as 1/r2, and in both it is a good
approximation to treat the heavier of the two objects as fixed in space, while
the lighter of the two orbits around it. In one of the first attempts to include
quantum mechanical corrections for the orbiting electron in the hydrogen atom,
Niels Bohr suggested (1913)
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