In the figure below, a steel bar sitting on two parallel metal rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude Fann = 1.15 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 2.15 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)? 0.56 A (b) If the magnitude of the magnetic field is 2.70 T, what is the length { (in m)? 0.77 (c) What is the rate at which energy is delivered to the resistor (in W)? 2.47 W (d) What is the mechanical power delivered by the applied constant force (in W)? 2.47 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 x, = 0.100 m to the right of the resistor at t = 0, and again moves at a constant speed of 2.15 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) = A (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 Fann(t) is in N and t is in s. Do not include units in your answer.) Fapp(t) = in

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Chapter1: Units, Trigonometry. And Vectors
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In the figure below, a steel bar sitting on two parallel metal rails, connected to each other by a resistor, is pulled to the right with
a constant force of magnitude Fann = 1.15 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 2.15 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)?
0.56
A
(b) If the magnitude of the magnetic field is 2.70 T, what is the length { (in m)?
0.77
(c) What is the rate at which energy is delivered to the resistor (in W)?
2.47
W
(d) What is the mechanical power delivered by the applied constant force (in W)?
2.47
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 x, = 0.100 m to the right of the resistor at t = 0, and again moves at a constant speed of
2.15 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) =
A
(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 Fann(t) is in N and t is in s. Do not include units in your answer.)
F
app(t)
=
in
Transcribed Image Text:In the figure below, a steel bar sitting on two parallel metal rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude Fann = 1.15 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 2.15 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)? 0.56 A (b) If the magnitude of the magnetic field is 2.70 T, what is the length { (in m)? 0.77 (c) What is the rate at which energy is delivered to the resistor (in W)? 2.47 W (d) What is the mechanical power delivered by the applied constant force (in W)? 2.47 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 x, = 0.100 m to the right of the resistor at t = 0, and again moves at a constant speed of 2.15 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) = A (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 Fann(t) is in N and t is in s. Do not include units in your answer.) F app(t) = in
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