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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°below the horizontal and with a strength of6.00×10‐5T.

Short Answer

Expert verified

(a) Maximum torque on a loop is0.67N‐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,

τ=NIABsin(θ) ………….(1)

02

Finding the torque using the formula(a)

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

τ=200×100A×0.79m26.00×10‐5T×sin45°=0.67N‐m

Hence, the required maximum torque on a loop is 0.67N‐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

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) Viewers of Star Trek hear of an antimatter drive on the Starship Enterprise. One possibility for such a futuristic energy source is to store antimatter-charged particles in a vacuum chamber, circulating in a magnetic field, and then extract them as needed. Antimatter annihilates with normal matter, producing pure energy. What strength magnetic field is needed to hold antiprotons, moving at\({\rm{5}}{\rm{.00 \times 1}}{{\rm{0}}^{\rm{7}}}{\rm{ m/s}}\)in a circular path\({\rm{2}}{\rm{.00 m}}\)in radius? Antiprotons have the same mass as protons but the opposite (negative) charge. (b) Is this field strength obtainable with today’s technology or is it a futuristic possibility?

If you have three parallel wires in the same plane, as in Figure 22.48, with currents in the outer two running in opposite directions, is it possible for the middle wire to be repelled by both? Attracted by both? Explain.

Draw a sketch of the situation in Figure 22.30 showing the direction of electrons carrying the current, and use RHR-1 to verify the direction of the force on the wire.

Repeat Exercise22.3for a positive charge.
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