In the figure below, resistance R = 8.00 0, the bar is moving at a constant speed of 1.85 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page. 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 = 1.25 N. The friction between the bar and rails is negligible. The (a) What is the current through the resistor (in A)? 0.538 (b) If the magnitude of the magnetic field is 3.00 T, what the length e (in m)? 0.775 (c) What is the rate at which energy is delivered to the resistor (in W)? 2.31 (d) What is the mechanical power delivered by the applied constant force (in w)? 2.31 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 att = 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 0 resistor (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) = 1.82t + 6.79 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(e) = (1.25 + 0.418t + 0.03482) N

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Please solve parts e & f

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
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 F
app
= 1.25 N. The friction between the bar and rails is negligible. The
resistance R = 8.00 0, the bar is moving at a constant speed of 1.85 m/s, the distance between the rails is e, and a uniform magnetic field B
is directed into the page.
R
Fapp
(a) What is the current through the resistor (in A)?
0.538
A
(b) If the magnitude of the magnetic field is 3.00 T, what is the length e (in m)?
0.775
(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)?
2.31
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 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) = 1.82t + 6.79
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(t) = (1.25 + 0.418t + 0.0348?)
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 F app = 1.25 N. The friction between the bar and rails is negligible. The resistance R = 8.00 0, the bar is moving at a constant speed of 1.85 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page. R Fapp (a) What is the current through the resistor (in A)? 0.538 A (b) If the magnitude of the magnetic field is 3.00 T, what is the length e (in m)? 0.775 (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)? 2.31 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 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) = 1.82t + 6.79 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(t) = (1.25 + 0.418t + 0.0348?) N
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