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Draw a diagram and use RHR-1 to show that the forces on the top and bottom segments of the motor鈥檚 current loop in Figure 22.34 are vertical and produce no torque about the axis of rotation.

Short Answer

Expert verified

Forces on the top and bottom segments are of equal magnitude and in opposite directions. Hence produce no torque about the axis of rotation.

Step by step solution

01

Right-Hand Rule-1

The right-hand rule states-1 (RHR-1) that the direction of the magnetic force on a moving charge is perpendicular to the plane formed by v and B.

02

Defining torque

Torque is defined asr=rFsin; where r is the distance, F is the applied force, andis the angle between r and F.

03

Defining forces on the top and bottom segments

  1. According to RHR-1, the thumb is in direction of the velocity, and the fingers point in the direction of B.

  2. That means for the top segment, the direction of velocity is from left to right, and force points in the direction perpendicular to the palm and upwards.

  3. For the bottom segment, the direction of velocity is from right to left and force is perpendicular to the palm but pointing downwards.

  4. Finally, the forces acting on the top and bottom segments are of equal magnitude but the direction is opposite, with one pointing vertically up and the other vertically down.

  5. Therefore, these two forces produce no torque about the axis of rotation.

04

Diagram for top and bottom segments

Let us draw the required segments,

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Most popular questions from this chapter

An AC appliance cord has its hot and neutral wires separated by 3.00mmand carries a5.00-A current. (a) What is the average force per meter between the wires in the cord? (b) What is the maximum force per meter between the wires? (c) Are the forces attractive or repulsive? (d) Do appliance cords need any special design features to compensate for these forces?

(a) A physicist performing a sensitive measurement wants to limit the magnetic force on a moving charge in her equipment to less than1.001012N. What is the greatest the charge can be if it moves at a maximum speed of30.0m/sin the Earth鈥檚 field? (b) Discuss whether it would be difficult to limit the charge to less than the value found in (a) by comparing it with typical static electricity and noting that static is often absent.

Make a drawing and use RHR-2 to find the direction of the magnetic field of a current loop in a motor (such as in Figure 22.34). Then show that the direction of the torque on the loop is the same as produced by like poles repelling and unlike poles attracting.

Suppose two long straight wires run perpendicular to one another without touching. Does one exert a net force on the other? If so, what is its direction? Does one exert a net torque on the other? If so, what is its direction? Justify your responses by using the right hand rules.

Indicate whether the magnetic field created in each of the three situations shown in Figure22.59is into or out of the page on the left and right of the current

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