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 Fan = 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)? .53 What is the motional emf in the bar, in terms of the speed and length? What is the magnetic force on the current in the bar? What is the current in terms of the emf and resistance? Can you use these three equations to solve for the current in terms of known quantities? A (b) If the magnitude of the magnetic field is 2.90 T, what is the length { (in m)? 72 How does the magnetic force depend on the current, magnetic field, and length of the bar? Knowing the current, found in part (a), and the field, how can you find the length? m (c) What is the rate at which energy is delivered to the resistor (in W)? 2.25 How is the electric power delivered to a resistor related to current and resistance? 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. (e) the current through the 8.00 Q 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 Fang required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume Fnn(t) is in N and t is in s. Do not include units in your answer.) Fapp(t) = N
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 Fan = 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)? .53 What is the motional emf in the bar, in terms of the speed and length? What is the magnetic force on the current in the bar? What is the current in terms of the emf and resistance? Can you use these three equations to solve for the current in terms of known quantities? A (b) If the magnitude of the magnetic field is 2.90 T, what is the length { (in m)? 72 How does the magnetic force depend on the current, magnetic field, and length of the bar? Knowing the current, found in part (a), and the field, how can you find the length? m (c) What is the rate at which energy is delivered to the resistor (in W)? 2.25 How is the electric power delivered to a resistor related to current and resistance? 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. (e) the current through the 8.00 Q 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 Fang required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume Fnn(t) is in N and t is in s. Do not include units in your answer.) Fapp(t) = N
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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
app
= 1.10 N. The friction
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
between the bar and rails is negligible. The resistance R
the page.
R
Fapp
(a) What is the current through the resistor (in A)?
.53
What is the motional emf in the bar, in terms of the speed and length? What is the magnetic force on the current in the bar? What is the current in terms of the emf and resistance? Can you use
these three equations to solve for the current in terms of known quantities? A
(b) If the magnitude of the magnetic field is 2.90 T, what is the length e (in m)?
.72
How does the magnetic force depend on the current, magnetic field, and length of the bar? Knowing the current, found in part (a), and the field, how can you find the length? m
(c)
What is the rate at which energy is delivered to the resistor (in W)?
2.25
How is the electric power delivered to a resistor related to current and resistance? 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 I at time t
O 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
%D
resistor at t
0, and again moves at a constant speed of 1.85 m/s. Derive time-varying expressions for the following quantities.
(e) the current through the 8.00 Q 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,
app
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
app
answer.)
app(t) .
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