ushed by moving with a constant velocity v to the left (i.e., negative x direction) on a U-shape, frictionless stationary conductor. The conductor and the rod have negligible resistance, but they are connected with a resistor R as shown. At t = 0, the distance between the position of the rod and the left end of the conductor is a. a. If the loop made by the rod and the U-shape conductor can be treated as a rectangle, what is the magnetic flux through this loop at t = 0 ? b. Please determine the direction and the magnitude of the induced current through the rod. c. Please determine the direction and the magnitude of the external force on the rod. (Note: the answer is a symbolic representation containing numbers, given variables, and commonly accepted constants. It should be simplified until no simplification can be done further.) R

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3. In a uniform magnetic field B, a rod with length l is pushed by an external constant force so it is
moving with a constant velocity i to the left (i.e., negative x direction) on a U-shape, frictionless
stationary conductor. The conductor and the rod have negligible resistance, but they are connected
with a resistor R as shown. At t = 0, the distance between the position of the rod and the left end of
the conductor is a.
a. If the loop made by the rod and the U-shape conductor can be treated as a rectangle, what is
the magnetic flux through this loop at t = 0 ?
b. Please determine the direction and the magnitude of the induced current through the rod.
c. Please determine the direction and the magnitude of the external force on the rod.
(Note: the answer is a symbolic representation containing numbers, given variables, and commonly
accepted constants. It should be simplified until no simplification can be done further.)
R
Transcribed Image Text:3. In a uniform magnetic field B, a rod with length l is pushed by an external constant force so it is moving with a constant velocity i to the left (i.e., negative x direction) on a U-shape, frictionless stationary conductor. The conductor and the rod have negligible resistance, but they are connected with a resistor R as shown. At t = 0, the distance between the position of the rod and the left end of the conductor is a. a. If the loop made by the rod and the U-shape conductor can be treated as a rectangle, what is the magnetic flux through this loop at t = 0 ? b. Please determine the direction and the magnitude of the induced current through the rod. c. Please determine the direction and the magnitude of the external force on the rod. (Note: the answer is a symbolic representation containing numbers, given variables, and commonly accepted constants. It should be simplified until no simplification can be done further.) R
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