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Chapter 22: Q49PE (page 813)

Repeat Exercise 22.41 but with the loop lying flat on the ground with its current circulating counterclockwise (when viewed from above) in a location where the Earth's field is north, but at an angle 45掳below the horizontal and with a strength of6.00脳10鈥�5T.

Short Answer

Expert verified

(a) Maximum torque on a loop is0.67N鈥�mand direction is west.

(b) The torque is very small so the loop will not have any practical application as a motor.

Step by step solution

01

Definition of torque

Torque, also known as force moment, is the tendency of a force to spin the body to which it is applied in physics.

We can use the equation to determine the torque,

蟿=NIABsin(胃) 鈥︹赌︹赌︹赌�.(1)

02

Finding the torque using the formula(a)

Substitute the values in the equation (1), and we get

蟿=200脳100A脳0.79m26.00脳10鈥�5T脳sin45掳=0.67N鈥�m

Hence, the required maximum torque on a loop is 0.67N鈥�m

Considering direction of force and current we find that the direction of torque is in west.

03

Justification (b)

The torque is very small so the loop will not have any practical application as a motor.

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Most popular questions from this chapter

What is the direction of the magnetic field that produces the magnetic force on a positive charge as shown in each of the three cases in the figure below, assuming B is perpendicular to v?

A wire carrying a 30.0鈥�Acurrent passes between the poles of a strong magnet that is perpendicular to its field and experiences a 2.16鈥�Nforce on the 4.00cm of wire in the field. What is the average field strength?

The force on the rectangular loop of wire in the magnetic field in Figure 22.56 can be used to measure field strength. The field is uniform, and the plane of the loop is perpendicular to the field. (a) What is the direction of the magnetic force on the loop? Justify the claim that the forces on the sides of the loop are equal and opposite, independent of how much of the loop is in the field and do not affect the net force on the loop. (b) If a current of 5.00 A is used, what is the force per tesla on the 20.0-cm-wide loop?


Figure 22.56 A rectangular loop of wire carrying a current is perpendicular to a magnetic field. The field is uniform in the region shown and is zero outside that region.

A surveyor\({\rm{100 m}}\)from a long straight\({\rm{200}}\;{\rm{kV}}\)DC power line suspects that its magnetic field may equal that of the Earth and affect compass readings. (a) Calculate the current in the wire needed to create a\({\rm{5}}{\rm{.00 \times 1}}{{\rm{0}}^{{\rm{ - 5}}}}{\rm{ T}}\)field at this distance. (b) What is unreasonable about this result? (c) Which assumption or premise is responsible?

(a) What is the maximum torque on a 150-turn square loop of wire 18.0 cm on a side that carries a 50.0-A current in a 1.60-T field? (b) What is the torque when 胃 is 10.9潞?
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