(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 3.00 T at timet = 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) = (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) = N

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Chapter1: Units, Trigonometry. And Vectors
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Please solve parts (d), (e), and (f)

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 = 1.25 N. The friction between the bar and rails is
negligible. The resistance R = 8.00 2, 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.
app
R
Fapp
(a) What is the current through the resistor (in A)?
0.538
А
(b) If the magnitude of the magnetic field is 3.00 T, what is the length e (in m)?
0.775
m
(c) What is the rate at which energy is delivered to the resistor (in W)?
2.31
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 3.00 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 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 Fnn(t) is in N and t is in s. Do not include units in your answer.)
Fapp
N
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 Fnn = 1.25 N. The friction between the bar and rails is negligible. The resistance R = 8.00 2, 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. app R Fapp (a) What is the current through the resistor (in A)? 0.538 А (b) If the magnitude of the magnetic field is 3.00 T, what is the length e (in m)? 0.775 m (c) What is the rate at which energy is delivered to the resistor (in W)? 2.31 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 3.00 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 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 Fnn(t) is in N and t is in s. Do not include units in your answer.) Fapp N
Two parallel horizontal rails are
vertically aligned and connected
on their teft ends by a wire. A
resistor R is in the middle of the
wire. The rails are separated by
a distançe e. A bar lies vertically
across the middle of therails, to
the right of the wire. An arrow
extends from the
labeled F
app
middle of the bar to the right.
(i
Transcribed Image Text:Two parallel horizontal rails are vertically aligned and connected on their teft ends by a wire. A resistor R is in the middle of the wire. The rails are separated by a distançe e. A bar lies vertically across the middle of therails, to the right of the wire. An arrow extends from the labeled F app middle of the bar to the right. (i
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