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 Fnn = 1.45 N. The friction between the bar and rails is negligible. The resistance R = 8.00 n, the bar is moving at a constant speed of 2.15 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page. app F. app (a) What is the current through the resistor (in A)? A (b) If the magnitude of the magnetic field is 2.50 T, what is the length e (in m)? 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)?

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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 F
constant speed of 2.15 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page.
= 1.45 N. The friction between the bar and rails is negligible. The resistance R = 8.00 N, the bar is moving at a
аpp
R
(a) What is the current through the resistor (in A)?
|A
(b) If the magnitude of the magnetic field is 2.50 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)?
What If? Suppose the magnetic field has an initial value of 2.50 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 Fpn required to keep the bar moving at a constant speed (Use the following as necessary: t.
Assume Fn(t) is in N and t is in s. Do not include units in your answer.)
app
app
(t)
app
N
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 F constant speed of 2.15 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page. = 1.45 N. The friction between the bar and rails is negligible. The resistance R = 8.00 N, the bar is moving at a аpp R (a) What is the current through the resistor (in A)? |A (b) If the magnitude of the magnetic field is 2.50 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)? What If? Suppose the magnetic field has an initial value of 2.50 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 Fpn required to keep the bar moving at a constant speed (Use the following as necessary: t. Assume Fn(t) is in N and t is in s. Do not include units in your answer.) app app (t) app N
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