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 Fann = 1.10 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 1.85 m/s, the distance between the rails is {, 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 2.90 T, what is the length { (in m)? m (c) What is the rate at which energy is delivered to the resistor (in W)?

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 F
app
= 1.10 N. The friction
between the bar and rails is negligible. The resistance R
8.00 Q, the bar is moving at a constant speed of 1.85 m/s, the distance between the rails is {, and a uniform magnetic field B is directed into
the page.
R
Fapp
(a) What is the current through the resistor (in A)?
A
(b) If the magnitude of the magnetic field is 2.90 T, what is the length { (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 2.90 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 1.85 m/s. Derive time-varying expressions for the following quantities.
%3D
(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) :
А
(f)
the magnitude of the applied force F,
аpp
required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume Fan(t) is in N andt is in s. Do not include units in your
app
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 F app = 1.10 N. The friction between the bar and rails is negligible. The resistance R 8.00 Q, the bar is moving at a constant speed of 1.85 m/s, the distance between the rails is {, and a uniform magnetic field B is directed into the page. R Fapp (a) What is the current through the resistor (in A)? A (b) If the magnitude of the magnetic field is 2.90 T, what is the length { (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 2.90 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 1.85 m/s. Derive time-varying expressions for the following quantities. %3D (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) : А (f) the magnitude of the applied force F, аpp required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume Fan(t) is in N andt is in s. Do not include units in your app answer.) Fapp(t) =
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