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 = 1.25 N. The friction between the bar and rails is negligible. The resistance R = 8.00 02, the bar is moving at a constant speed of 2.25 m/s, the distance between the rails is e, 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 Fapp (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 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) = Fapp(t) A (f) the magnitude of the applied force F necessary: t. Assume F required to keep the bar moving at a constant speed (Use the following as (t) is in N and t is in s. Do not include units in your answer.) app app = N

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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 = 1.25 N. The friction between the bar and rails is negligible. The resistance R = 8.00 02, the
bar is moving at a constant speed of 2.25 m/s, the distance between the rails is e, 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
Fapp
(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 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) =
Fapp(t)
A
(f) the magnitude of the applied force F
necessary: t. Assume F
required to keep the bar moving at a constant speed (Use the following as
(t) is in N and t is in s. Do not include units in your answer.)
app
app
=
N
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 = 1.25 N. The friction between the bar and rails is negligible. The resistance R = 8.00 02, the bar is moving at a constant speed of 2.25 m/s, the distance between the rails is e, 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 Fapp (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 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) = Fapp(t) A (f) the magnitude of the applied force F necessary: t. Assume F required to keep the bar moving at a constant speed (Use the following as (t) is in N and t is in s. Do not include units in your answer.) app app = N
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