In the figure below, a metal bar sitting on two the bar and rails is negligible. The resistance R (a) What is the current through the resistor A

Physics for Scientists and Engineers: Foundations and Connections
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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 Fon 1.45 N. The friction between
the bar and raills 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)?
(b) If the magnitude of the magnetic field is 2.70 T, what is the length e (in m)?
m
(c) What is the rate at which energy is delivered to the resistor (In W)?
(d) What is the mechanical power delivered by the appliled constant force (in W)?
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 Fann(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 Fon 1.45 N. The friction between the bar and raills 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)? (b) If the magnitude of the magnetic field is 2.70 T, what is the length e (in m)? m (c) What is the rate at which energy is delivered to the resistor (In W)? (d) What is the mechanical power delivered by the appliled constant force (in W)? 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 Fann(t) is in N and t is in s. Do not include units in your answer.) Fapp(t) =
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