In the figure below, a metal bar sitting on two parallel conducting rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude F bar and rails is negligible. The resistance R = 8.00 0, the bar is moving at a constant speed of 1.75 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page. ese- 1.30 N. The friction between the (a) What is the current through the resistor (in A)? (b) If the magnitude of the magnetic field is 2.50 T, what is the length ê (in m)? (c) What is the rate at which energy is delivered to the resistor (in W)? w (d) What is the mechanical power delivered by the applied constant force (in W)? w What If? Suppose the magnetic field has an initial value of 2.50 T at time t- 0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position x, - 0.100 m to the right of the resistor at t- 0, and again moves at a constant speed of 1.75 m/s. Derive time-varying expressions for the following quantities. (e) the current through the 8.00 a resistor R (Use the following as necessary: t. Assume I(t) is in A and t is in s. Do not include units in your answer.) I(t) - (f) the magnitude of the applied force F required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume F(t) is in N and t is in s. Do not include units in your answer.)
In the figure below, a metal bar sitting on two parallel conducting rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude F bar and rails is negligible. The resistance R = 8.00 0, the bar is moving at a constant speed of 1.75 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page. ese- 1.30 N. The friction between the (a) What is the current through the resistor (in A)? (b) If the magnitude of the magnetic field is 2.50 T, what is the length ê (in m)? (c) What is the rate at which energy is delivered to the resistor (in W)? w (d) What is the mechanical power delivered by the applied constant force (in W)? w What If? Suppose the magnetic field has an initial value of 2.50 T at time t- 0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position x, - 0.100 m to the right of the resistor at t- 0, and again moves at a constant speed of 1.75 m/s. Derive time-varying expressions for the following quantities. (e) the current through the 8.00 a resistor R (Use the following as necessary: t. Assume I(t) is in A and t is in s. Do not include units in your answer.) I(t) - (f) the magnitude of the applied force F required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume F(t) is in N and t is in s. Do not include units in your answer.)
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter32: Faraday’s Law Of Induction
Section: Chapter Questions
Problem 71PQ: Two frictionless conducting rails separated by l = 55.0 cm are connected through a 2.00- resistor,...
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Transcribed Image Text:In the figure below, a metal bar sitting on two parallel conducting rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude F.. = 1.30 N. The friction between the
bar and rails is negligible. The resistance R = 8.00 0, the bar is moving at a constant speed of 1.75 m/s, the distance between the rails is &, and a uniform magnetic field B is directed into the page.
app
(a) What is the current through the resistor (in A)?
(b) If the magnitude of the magnetic field is 2.50 T, what is the length e (in m)?
m
(c) What is the rate at which energy is delivered to the resistor (in W)?
w
(d) What is the mechanical power delivered by the applied constant force (in W)?
w
What If? Suppose the magnetic field has an initial value of 2.50 T at time t - 0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position x, - 0.100 m to the right of the resistor at
t- 0, and again moves at a constant speed of 1.75 m/s. Derive time-varying expressions for the following quantities.
(e) the current through the 8.00 n resistor R (Use the following as necessary: t. Assume I(t) is in A and t is in s. Do not include units in your answer.)
I(t) -
A
(f) the magnitude of the applied force Fne required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume Fn(t) is in N and t is in s. Do not include units in your answer.)
N
app(e) -
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