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 = 1.45 N. The friction between the bar and rails negligible. The resistance R = 8.00 n, the bar is moving at a constant speed of 2.25 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)? A. (b) If the magnitude of the magnetic field is 2.60 T, what is the length { (in m)? m (c) What is the rate at which energy is delivered to the resistor (in W)?

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Chapter1: Units, Trigonometry. And Vectors
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= 1.45 N. The friction between the bar and rails is
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 Fnn
negligible. The resistance R = 8.00 2, the bar is moving at a constant speed of 2.25 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 2.60 T, what is the length e (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 2.60 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 2.25 m/s. Derive time-varying expressions for the following quantities.
(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) =
A
(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 answer.)
app
Fapp(t) =
N
in
Transcribed Image Text:= 1.45 N. The friction between the bar and rails is 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 Fnn negligible. The resistance R = 8.00 2, the bar is moving at a constant speed of 2.25 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 2.60 T, what is the length e (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 2.60 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 2.25 m/s. Derive time-varying expressions for the following quantities. (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) = A (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 answer.) app Fapp(t) = N in
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