KFUPM Total Magnetic Field and Force Parallel Wires & Electrons Worksheet Hi this is a a physics 2 homework, its all multiple choices but need to explain o

KFUPM Total Magnetic Field and Force Parallel Wires & Electrons Worksheet Hi this is a a physics 2 homework, its all multiple choices but need to explain or show work, I uploaded the pdf file, and would like from you to write on it if thats possible. Thanks Name:
Lab Day/Time:
Homework 7 Magnetic Field and Force
Homework is due at the beginning of the Wednesday lecture. It must be handwritten, not typeset. The multiplechoice answers must be circled. In the space after the problem, a short justification of each multiple-choice the
answer must be included. The open-response answers must be worked out clearly using good physics presentation
and will be graded on correctness and how carefully the work is explained. The problems should be worked in
the space after the problem on the assignment printout; additional paper may be used if needed. No credit will
be given for answers without appropriate supporting work. Minimum good presentation requires the following:
(1) Symbolic expression for any formula, (2) Manipulation of symbolic expressions, not numeric expressions, (3)
Substitution of numbers with units, (4) Reporting final answers with correct units and vector expressions, (5)
Enough English description to allow the reader to have some idea what you are doing without looking at the
math.
Multiple Choice Problems
The questions in this section are to be answered by circling the correct multiple-choice answer AND
providing a short justification of your answer in the space after the problem..
Homework Problem 7.1 If the y axis points to the right of the page and the x axis points to the top of the
page, what direction does the z axis point?
Select One of the Following:
(a) into the page
(b) out of the page
(c) to the left of the page
(d) to the right of the page
(e) to the top of the page
(f) to the bottom of the page
1
Homework Problem 7.2 The figure below shows a wire that carries a current I in the direction drawn. Four
small elements of the current are indicated by the four rectangles. The distances from the current elements to P
in the picture below are rAP = 2cm, rBP = 1cm, rCP = 2cm, and rDP = 3cm. Rank the strength (magnitude)
of the contribution to the magnetic field by the four segments of the current.
Select One of the Following:
(a) BB > BC = BA > BD
(b) BB BC > BA = BD
(d) BB > BC > BA > BD
(e) BC > BA > BB = BD
A
I
B
P
D
C
Homework Problem 7.3 The niobium-titanium wire used in most superconducting magnets can produce fields
up to 15T before ceasing to be superconducting. If an infinite straight wire is made of this material, how much
current does the wire have to carry to produce this field at a distance of 0.5cm? Note, this would be the field at
the surface of a 0.5cm radius wire.
Select One of the Following:
(a) 1.9 × 102 A
(b) 1.8 × 104 A
(c) 6.0 × 104 A
(d) 1.2 × 105 A
(e) 3.8 × 105 A
2
Homework Problem 7.4 An electron is accelerated to very near
the speed of light (v = 3 × 108 ms ) in a particle accelerator. It
travels down the center of a “beam pipe” (as shown to the right)
with radius 2.5cm. What is the magnetic field (magnitude and
direction, naturally) produced by the electron at the point P at the
edge of the beam pipe at the same cross-section as the electron?
P
-e
v
Beam Pipe
Select One of the Following:
~ = 7.7 × 10−15 T
(a) B
~ = 7.7 × 10−15 T
(b) B
into the page
out of the page
~ = 6.5 × 10−9 T
(c) B
~ = 6.5 × 10−9 T
(d) B
out of the page
~ = 4.9 × 10
(e) B
into the page
−4
T
into the page
Homework Problem 7.5 The
figure to the right shows two
infinite parallel wires carrying
currents I and 2I in the directions drawn. Select the figure that has the forces drawn
correctly to scale. All pairs
of wires are the same distance
apart.
(a) (b) (c) (d) (e) (f) (g) (h) (i)
2I
2I
2I 2I
2I
2I
2I
2I
2I
I
I
I
Select One of the Following:
(a) Figure (a)
(b) Figure (b)
I
(c) Figure (c)
(d) Figure (d)
(e) Figure (e)
I
I
I
(f) Figure (f)
(g) Figure (g)
(h) Figure(h)
(i) Figure(i)
3
I
I
Homework Problem 7.6 A solenoid, in the infinite solenoid approximation, has 100 turns per meter and carries
a current of 5A. Compute the magnitude of the magnetic field in the interior of the solenoid.
Select One of the Following:
(a) B = 6 × 10−8 T
(b) B = 6 × 10−4 T
(c) B = 3 × 10−5 T
(d) B = 1 × 10−3 T
(e) B = 7 × 10−1 T
Homework Problem 7.7 Two infinite straight wires carrying current 2A in the +ŷ direction run parallel to the
y-axis through the points ±1cmx̂. Compute the magnetic field at the point +2cmx̂.
Select One of the Following:
(a) 9 × 10−2 Tẑ
(b) −3 13 × 10−4 Tẑ
(c) 7 32 × 10−5 Tẑ
(d) −5 13 × 10−5 Tẑ
(e) 0
Homework Problem 7.8 A 10cm wire carrying a current of 6A in the +ŷ direction lies parallel to the y-axis. In
what direction must a uniform magnetic field be in to generate a force on the wire in the +z direction?
Select One of the Following:
(a) +x̂
(b) −x̂
(c) +ŷ
(d) −ŷ
(e) +ẑ
(f) −ẑ
4
Homework Problem 7.9 The figure to the right shows two infinite parallel wires carrying current into and out of the page. They
carry currents of equal magnitude in the directions drawn. What
is the direction of the force experienced by each wire?
Wire 1
Wire 2
Select One of the Following:
(a) Wire 1 experiences a force to the left of the page and Wire 2 a force to the left of the page.
(b) Wire 1 experiences a force to the left of the page and Wire 2 a force to the right of the page.
(c) Wire 1 experiences a force to the right of the page and Wire 2 a force to the left of the page.
(d) Wire 1 experiences a force to the right of the page and Wire 2 a force to the right of the page.
(e) The force felt by each wire is zero.
Homework Problem 7.10 An electron has velocity 1.3 × 103 ms
in the direction drawn when it passes through point P . The
magnetic field has the strength of the earth’s magnetic field
4.0 × 10−5 T. The electron may follow either trajectory A or
trajectory B. An electron has charge −1.6 × 10−19 C and mass
9.11 × 10−31 kg. Select the trajectory and calculate the radius of
the orbit.
Select One of the Following:
Magnetic Field Out of Page
B
v
(a) Trajectory A, radius 1.6 × 10−5 m
(b) Trajectory A, radius 1.9 × 10−4 m
A
(c) Trajectory A, radius 1.4 × 10−3 m
(d) Trajectory B, radius 1.6 × 10
m
(e) Trajectory B, radius 1.9 × 10
m
(f) Trajectory B, radius 1.4 × 10
m
−5
−4
−3
5
P
Open Response Questions
Homework Problem 7.11 An infinite straight wire runs through
an “infinite” solenoid a distance d = 2cm from the center of the
solenoid. The wire carries a current of Iwire = 7A to the right.
The solenoid carries a current of Isol = 3A in the direction drawn.
The solenoid is wound using 500 turns of wire on a 13cm tube.
(a)Compute the magnetic field of the solenoid at point P ,
~ sol .
B
Iwire
(b)Compute the magnetic field of the wire at point P ,
~ wire .
B
P
(c)Compute the total magnetic field at point P .
y
x
6
d
Homework Problem 7.12 The wire shown at the
right carries a current of 5A in the direction drawn.
The wire is bent into a rectangle. The corners of the
rectangle are labeled: A, B, C, and D. The rectangle
is ℓ = 14cm long and w = 1cm wide. Consider the
magnetic field at the point P at the origin. Naturally, all fields below must be reported as vectors.
Carefully and clearly show all intermediate steps to
your calculations.
y
C
D
w
(a)Compute the magnetic field at P due to the
long segment CD using the infinite straight
wire approximation.
I
A
(b)Compute the magnetic field at point P approximating the short segment BC with
one segment using the finite current element approximation.
(c)Calculate the exact magnetic field at P due
to the long segment CD by integrating the
Biot-Savart Law. Work this symbolically
and report a formula for the field, then substitute to calculate a numeric answer.
(d)Calculate the magnetic field at P due to
the segment AB. The distance from A to
B is also 1cm.
7
B
P
x

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