The plane of a rectangular loop of wire with a width of 5.00cm and a height of 8.00cm is parallel to a magnetic field of magnitude 0.150 T.
The plane of a rectangular loop of wire with a width of 5.00cm and a height of 8.00cm is parallel to a magnetic field of magnitude 0.150 T. The loop carries a current of 7.00 A.
What torque acts on the loop?
What is the magnetic moment of theloop?
What is the maximum torque that can be obtained with the sametotal length of wire carrying the same current in this magneticfield?
Homework Answers
The main concepts used to solve the problem are Torque and magnetic moment.
Initially, use the expression of the torque to calculate the torque. Later, use the expression magnetic moment to calculate the magnetic moment of the loop.
Finally, calculate the maximum torque acting on the wire carrying current.
The expression to calculate the magnetic moment is,
Here, I is the current, A is the area, and 
is the magnetic moment.
The expression to calculate the torque on the loop is,
Here, 
is the magnetic moment, B is the magnetic field, 
is the torque, and 
is the angle between magnetic moment and magnetic field.
The maximum torque acting on the loop is expressed as follows:
Here, I is the current, A is the area, B is the magnetic field, and 
is the maximum torque.
(A)
Calculate the torque acting on the loop.
The expression to calculate the torque on the loop is,
Here, is the magnetic moment, B is the magnetic field, is the torque, and is the angle between magnetic moment and magnetic field.
The area of the rectangular loop is calculated as follows:
Here, A is the area, w is the width, and h is the height.
Substitute 
for w and 
for h in expression .
Substitute 
for A , 
for B , 7.00 A for I , and 
for 
in expression .
(B)
The expression to calculate the magnetic moment is,
Here, I is the current, A is the area, and is the magnetic moment.
Substitute 
for I and 
for A in expression.
(C)
Calculate the maximum torque.
The maximum torque acting on the loop is expressed as follows:
Here, I is the current, A is the area, B is the magnetic field, and is the maximum torque.
Calculate the area of the circular loop by using the circumference.
The circumference of the circular loop is,
The circumference is expressed as follows:
Substitute 26.0 cm for C in expression .
The area of the circular loop is,
Substitute 0.0414 m for r in expression .
Substitute 
for 
, 
for B, and 
for 
in expression .
The magnitude of the torque acts on the loop is 
.
The magnetic moment of the loop is 
.
The maximum torque that can be obtained with the same total length of wire carrying the same current in this magnetic field is 
.
Add Answer to:
The plane of a rectangular loop of wire with a width of 5.00cm and a height of 8.00cm is parallel to a magnetic field of magnitude 0.150 T.
The plane of a rectangular loop of wire with a width of 5.0 cm and a...
The plane of a rectangular loop of wire with a width of 5.0 cm and a height of 8.0 cm is parallel to a magnetic field of magnitude 0.25 T . The loop carries a current of 6.7 A . What torque acts on the loop? Express your answer using two significant figures. τ = What is the magnetic moment of the loop? Express your answer using two significant figures. μ = A⋅m^2 What is the maximum torque that can...
The plane of a 5.40 cm by 8.30 cm rectangular loop of wire is parallel to...
The plane of a 5.40 cm by 8.30 cm rectangular loop of wire is parallel to a 0.220 T magnetic field, and the loop carries a current of 6.15 A. What torque acts on the loop? What is the magnetic moment of the loop?
10. A rectangular wire carrying a current is placed in a magnetic field. The magnitude of...
10. A rectangular wire carrying a current is placed in a magnetic field. The magnitude of the torque the wire feels does not depend on which of the following statements: to. The magnitude of the current in the wire b. The direction of the current in the wire c. The length of the “loop” sides of the wire d. The area of the loop le.The orientation of the "loop"
A rectangular loop of current carrying wire lies in the xy-plane. The rectangle measures 0.597 m...
A rectangular loop of current carrying wire lies in the xy-plane. The rectangle measures 0.597 m by 0.575 m and carries a current of 0.402 A. The loop is in an external magnetic field. The loop has 25.8 J of potential energy and feels a torque of magnitude 6.59 Nm. What is the magnitude of the external magnetic field?
12. A rectangular loop of wire carrying a 4.0-A current is placed in a magnetic field...
12. A rectangular loop of wire carrying a 4.0-A current is placed in a magnetic field of 0.60 1. The magnitude of the torque acting on this wire when the plane of the loop makes a 30° angle with the field is measured to be 1.1 N.m. What is the area of this loop? A) 0.20 m2 B) 0.40 m2 C) 0.26 m2 D) 0.80 m2 E) 0.53 m2
Acurrent-carrying rectangular wire loop with width a = 0.115 m and length b = 0.205 m...
Acurrent-carrying rectangular wire loop with width a = 0.115 m and length b = 0.205 m is in the xy-plane, supported by a nonconducting, frictionless axle of negligible weight. A current of I = 2.75 A travels counterclockwise in the circuit (see the figure below). Calculate the magnitude and direction of the force exerted on the left, right, top, and bottom segments of wire (in N) by a uniform magnetic field of 0.300 T that points in the positive x-direction....
A flat rectangular loop of wire is placed between the poles of amagnet, as shown...
A flat rectangular loop of wire is placed between the poles of a
magnet, as shown in the figure. It has dimensions w =
0.60 m and L = 1.0 m, and carries a current I = 2.0 A in the
direction shown. The magnetic field due to the magnet is uniform
and of magnitude 0.80 T. The loop rotates in the magnetic field and
at one point the plane of the loop is parallel to the field, as
shown.A)...
1. A rectangular loop of width a and length b is located near a long wire...
1. A rectangular loop of width a and length b is located near a long wire carrying a current I. The distance between the wire and the closet side of the loop is c. The wire is parallel to the long side of the loop. Find the total magnetic flux through the loop due to the current in the wire.
A rectangular loop has width w and length l, and carries current i. It is placed...
A rectangular loop has width w and length l, and carries current
i. It is placed in a uniform magnetic field B, as shown. The
magnetic field is parallel to the plane containing the loop. Which
of the followinf statement(s) is/are correct?
1. The current loop experiences a net force
2. The current loop experiences no net force
3. The magnetic dipole moment of the loop μ points into the
page
4. The magnetic dipole moment of the loop μ...
In the figure, a rectangular loop of wire with length a = 3.8 cm, width b...
In the figure, a rectangular
loop of wire with length a = 3.8 cm, width b = 1.3 cm, and
resistance R = 0.71 m? is placed near an infinitely long wire
carrying current i = 6.7 A. The loop is then moved away from the
wire at a constant speed v = 4.8 mm/s. When the center of the loop
is at distance r = 2.8 cm, what are (a) the magnitude of the
magnetic flux through the loop...
10. A rectangular wire carrying a current is placed in a magnetic field. The magnitude of the torque the wire feels does not depend on which of the following statements: to. The magnitude of the current in the wire b. The direction of the current in the wire c. The length of the “loop” sides of the wire d. The area of the loop le.The orientation of the "loop"
12. A rectangular loop of wire carrying a 4.0-A current is placed in a magnetic field of 0.60 1. The magnitude of the torque acting on this wire when the plane of the loop makes a 30° angle with the field is measured to be 1.1 N.m. What is the area of this loop? A) 0.20 m2 B) 0.40 m2 C) 0.26 m2 D) 0.80 m2 E) 0.53 m2
A flat rectangular loop of wire is placed between the poles of a
magnet, as shown in the figure. It has dimensions w =
0.60 m and L = 1.0 m, and carries a current I = 2.0 A in the
direction shown. The magnetic field due to the magnet is uniform
and of magnitude 0.80 T. The loop rotates in the magnetic field and
at one point the plane of the loop is parallel to the field, as
shown.A)...
1. A rectangular loop of width a and length b is located near a long wire carrying a current I. The distance between the wire and the closet side of the loop is c. The wire is parallel to the long side of the loop. Find the total magnetic flux through the loop due to the current in the wire.
A rectangular loop has width w and length l, and carries current
i. It is placed in a uniform magnetic field B, as shown. The
magnetic field is parallel to the plane containing the loop. Which
of the followinf statement(s) is/are correct?
1. The current loop experiences a net force
2. The current loop experiences no net force
3. The magnetic dipole moment of the loop μ points into the
page
4. The magnetic dipole moment of the loop μ...
In the figure, a rectangular
loop of wire with length a = 3.8 cm, width b = 1.3 cm, and
resistance R = 0.71 m? is placed near an infinitely long wire
carrying current i = 6.7 A. The loop is then moved away from the
wire at a constant speed v = 4.8 mm/s. When the center of the loop
is at distance r = 2.8 cm, what are (a) the magnitude of the
magnetic flux through the loop...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago