Show that the quantity has units of current.
Unit of is Ampere.
We have been given an expression that we need to find the units of :
Here F is Faraday; And its units correspond to as:
I = = Ampere (A).
Therefore the expression has units Ampere which is the same as that of current.
2. Sharon drives her rocket through the magnetic field of FIGURE Q31.2 traveling to the right at a speed of as measured by Bill. As she passes Bill, she shoots a positive charge backward at a speed of relative to her.
a. According to Bill, what kind of force or forces act on the charge? In which directions? Explain.
b. According to Sharon, what kind of force or forces act on the charge? In which directions? Explain.
In FIGURE P31.33, a circular loop of radius travels with speed along a charged wire having linear charge density . The wire is at rest in the laboratory frame, and it passes through the center of the loop.
a. What are and at a point on the loop as measured by a scientist in the laboratory? Include both strength and direction.
b. What are the fields and at a point on the loop as measured by a scientist in the frame of the loop?
c. Show that an experimenter in the loop’s frame sees a current passing through the center of the loop.
d. What electric and magnetic fields would an experimenter in the loop’s frame calculate at distance r from the current of part c?
e. Show that your fields of parts b and d are the same.
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