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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 Fno = 1.45 N. The friction between the bar and ralls is negligible. The resistance R = 8.00 0, the bar is moving at a constant speed of 2.05 m/s, the distance between the rails is e, and a uniform magnetic field B is directed Into the page (a) What is the current through the resistor (in A)? 0.60955 A (b) If the magnitude of the magnetic field is 2.70 T, what is the length e (in m)? 0.8810 (c) What is the rate at which energy is delivered to the resistor (in W)? 2.972 (d) What is the mechanical power delivered by the applied constant force (in W)? 2.972 What If? Suppose the magnetic field has an initial value of 2.70 T at time t-0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position xo- 0.100 m to the right of the resistor at t- 0, and again moves at a constant speed of 2.05 m/s. Derive time-varying expressions for the following quantities. (e) the current through the 8.00 0 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) = (1) the magnitude of the applied force Fann 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.) Fapp(t) -

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 Fno = 1.45 N. The friction between the bar and ralls is negligible. The resistance R = 8.00 0, the bar is moving at a constant speed of 2.05 m/s, the distance between the rails is e, and a uniform magnetic field B is directed Into the page (a) What is the current through the resistor (in A)? 0.60955 A (b) If the magnitude of the magnetic field is 2.70 T, what is the length e (in m)? 0.8810 (c) What is the rate at which energy is delivered to the resistor (in W)? 2.972 (d) What is the mechanical power delivered by the applied constant force (in W)? 2.972 What If? Suppose the magnetic field has an initial value of 2.70 T at time t-0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position xo- 0.100 m to the right of the resistor at t- 0, and again moves at a constant speed of 2.05 m/s. Derive time-varying expressions for the following quantities. (e) the current through the 8.00 0 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) = (1) the magnitude of the applied force Fann 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.) Fapp(t) -

Physics for Scientists and Engineers: Foundations and Connections
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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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 Fn = 1.45 N. The friction between the bar and ralls is negligible. The resistance R = 8.00 0, the bar is moving at a constant speed of 2.05 m/s, the distance between the rails is e, and a uniform magnetic fleld B is directed into the page. (a) What is the current through the resistor (in A)? 0.60955 A (b) If the magnitude of the magnetic field is 2.70 T, what is the length e (In m)? 0.8810 (c) What is the rate at which energy is delivered to the resistor (in W)? 2.972 (d) What is the mechanical power delivered by the applied constant force (In W)? 2.972 What If? Suppose the magnetic field has an initial value of 2.70 T at time t-0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position x- 0.100m to the right of the resistor at t= 0, and again moves at a constant speed of 2.05 m/s. Derive time-varying expressions for the following quantities. (e) the current through the 8.00 0 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 Fann required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume Fapp(t) is in N and t is in s. Do not include units in your answer.) Fapp(t) -
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 Fn = 1.45 N. The friction between the bar and ralls is negligible. The resistance R = 8.00 0, the bar is moving at a constant speed of 2.05 m/s, the distance between the rails is e, and a uniform magnetic fleld B is directed into the page. (a) What is the current through the resistor (in A)? 0.60955 A (b) If the magnitude of the magnetic field is 2.70 T, what is the length e (In m)? 0.8810 (c) What is the rate at which energy is delivered to the resistor (in W)? 2.972 (d) What is the mechanical power delivered by the applied constant force (In W)? 2.972 What If? Suppose the magnetic field has an initial value of 2.70 T at time t-0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position x- 0.100m to the right of the resistor at t= 0, and again moves at a constant speed of 2.05 m/s. Derive time-varying expressions for the following quantities. (e) the current through the 8.00 0 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 Fann required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume Fapp(t) is in N and t is in s. Do not include units in your answer.) Fapp(t) -
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