In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude = 1.05 N. The friction between the bar and rails is negligible. The resistance R = 8.00 , the bar is moving at a constant speed of 1.65 m/s, the distance between t rails is e, and a uniform magnetic field B is directed into the page. Fapp JE (a) What is the current through the resistor (in A)? 0.47 A (b) If the magnitude of the magnetic field is 3.20 T, what is the length (in m)? 0.71 m (c) What is the rate at which energy is delivered to the resistor (in W)? 1.77 * W (d) What is the mechanical power delivered by the applied constant force (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, an iron bar sitting on two parallel copper rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude
Fapp = 1.05 N. The friction between the bar and rails is negligible. The resistance R = 8.00 £2, the bar is moving at a constant speed of 1.65 m/s, the distance between the
rails is e, and a uniform magnetic field B is directed into the page.
R
(i)
(a) What is the current through the resistor (in A)?
0.47
A
(b) If the magnitude of the magnetic field is 3.20 T, what is the length ℗ (in m)?
0.71
Fapp
m
(c) What is the rate at which energy is delivered to the resistor (in W)?
1.77
X W
(d) What is the mechanical power delivered by the applied constant force (in W)?
W
Fapp (t)
What If? Suppose the magnetic field has an initial value of 3.20 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 1.65 m/s. Derive time-varying expressions for the following quantities.
(e) the current through the 8.00 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 F
app
Do not include units in your answer.)
N
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.
app
Transcribed Image Text:In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude Fapp = 1.05 N. The friction between the bar and rails is negligible. The resistance R = 8.00 £2, the bar is moving at a constant speed of 1.65 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page. R (i) (a) What is the current through the resistor (in A)? 0.47 A (b) If the magnitude of the magnetic field is 3.20 T, what is the length ℗ (in m)? 0.71 Fapp m (c) What is the rate at which energy is delivered to the resistor (in W)? 1.77 X W (d) What is the mechanical power delivered by the applied constant force (in W)? W Fapp (t) What If? Suppose the magnetic field has an initial value of 3.20 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 1.65 m/s. Derive time-varying expressions for the following quantities. (e) the current through the 8.00 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 F app Do not include units in your answer.) N 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. app
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