(5) A rectangular loop is released from rest and falls into a region where there is a uniform magnetic field, B. The region of the magnetic field starts at the dashed line and continues downward for a large distance. The field is out of the page. The loop has mass m, resistance R, and sides of length a. When it was released, the bottom of the loop was a distance h above the dashed line. The figure shows the loop as it B enters the field. a b Use: m = 0.010 kg, R = 0.10 Q2, a = 0.10 m, b = 0.03 m, h = 0.05 m, B = 3.0 T. a) Describe qualitatively the motion of the loop starting from the time it is dropped a height h above the field and continuing until it is well below the dashed line. Two important times in your description will be when the loop first enters the field (as shown in the figure) and when it first becomes fully immersed in the field. b) What is the current in the loop when it first enters the field? Is the current going around the loop clockwise or counterclockwise? c) What is the magnetic force on the loop at this time? How does it compare to the loop's weight? d) It turns out that, for reasonable choices of the loop and field parameters, the loop will reach terminal velocity shortly after the lower edge first enters the field because the magnetic force on the loop becomes sufficient to match the gravitational force downwards. (An object that reaches "terminal velocity" falls at constant velocity.) Suppose the loop reaches terminal velocity, v = vt, before the top of the loop falls below the dashed line. What is v₁?
(5) A rectangular loop is released from rest and falls into a region where there is a uniform magnetic field, B. The region of the magnetic field starts at the dashed line and continues downward for a large distance. The field is out of the page. The loop has mass m, resistance R, and sides of length a. When it was released, the bottom of the loop was a distance h above the dashed line. The figure shows the loop as it B enters the field. a b Use: m = 0.010 kg, R = 0.10 Q2, a = 0.10 m, b = 0.03 m, h = 0.05 m, B = 3.0 T. a) Describe qualitatively the motion of the loop starting from the time it is dropped a height h above the field and continuing until it is well below the dashed line. Two important times in your description will be when the loop first enters the field (as shown in the figure) and when it first becomes fully immersed in the field. b) What is the current in the loop when it first enters the field? Is the current going around the loop clockwise or counterclockwise? c) What is the magnetic force on the loop at this time? How does it compare to the loop's weight? d) It turns out that, for reasonable choices of the loop and field parameters, the loop will reach terminal velocity shortly after the lower edge first enters the field because the magnetic force on the loop becomes sufficient to match the gravitational force downwards. (An object that reaches "terminal velocity" falls at constant velocity.) Suppose the loop reaches terminal velocity, v = vt, before the top of the loop falls below the dashed line. What is v₁?
Chapter13: Electromagnetic Induction
Section: Chapter Questions
Problem 82CP: Shown below is a long rectangular loop of width w, length l, mass m, and resistance R. The loop...
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Transcribed Image Text:(5)
A rectangular loop is released from rest and falls into
a region where there is a uniform magnetic field, B.
The region of the magnetic field starts at the dashed
line and continues downward for a large distance. The
field is out of the page. The loop has mass m,
resistance R, and sides of length a. When it was
released, the bottom of the loop was a distance h
above the dashed line. The figure shows the loop as it B
enters the field.
a
b
Use: m = 0.010 kg, R = 0.10 Q2, a = 0.10 m, b = 0.03 m, h = 0.05 m, B = 3.0 T.
a) Describe qualitatively the motion of the loop starting from the time it is
dropped a height h above the field and continuing until it is well below the
dashed line. Two important times in your description will be when the loop
first enters the field (as shown in the figure) and when it first becomes fully
immersed in the field.
b) What is the current in the loop when it first enters the field? Is the current
going around the loop clockwise or counterclockwise?
c) What is the magnetic force on the loop at this time? How does it compare to
the loop's weight?
d) It turns out that, for reasonable choices of the loop and field parameters, the
loop will reach terminal velocity shortly after the lower edge first enters the
field because the magnetic force on the loop becomes sufficient to match the
gravitational force downwards. (An object that reaches "terminal velocity"
falls at constant velocity.) Suppose the loop reaches terminal velocity, v = vt,
before the top of the loop falls below the dashed line. What is v₁?
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