Part A What is the magnitude of the torque on the current loop in (Figure 1)? Figure 1 of 1 Express your answer in newton-meters. • View Available Hint(s) ? 2.0 cm T = N. m 2.0 mm Wire 2.0 A Submit 0.20 A

Part A What is the magnitude of the torque on the current loop in (Figure 1)? Figure 1 of 1 Express your answer in newton-meters. • View Available Hint(s) ? 2.0 cm T = N. m 2.0 mm Wire 2.0 A Submit 0.20 A

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter30: Atomic Physics

Section: Chapter Questions

Problem 23PE: Verify Equations rn=n2ZaB and aB=h242mekqe2=0.5291010 m using the approach stated in the text. That...

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(a) Aircraft sometimes acquire small static charges. Suppose a supersonic jet has a 0.500C charge and ?ies due west at a speed of 660 m/s ever the Earth’s south magnetic pole, where the 8.00105T magnetic field points straight up. What are the direction and the magnitude of the magnetic force on the plane? (b) Discuss whether the value obtained in part (a) implies this is a significant or negligible effect.
Integrated Concepts (a) Using the values given for an MHD drive in Exercise 22.59, and assuming the force is uniformly applied to the fluid, calculate the pressure created in N/m2. (b) Is 1his a signi?cant fraction of an atmosphere?
A cyclometer is a device mounted on a bicycle that records and displays trip information such as elapsed time, distance traveled, and average speed. Modern versions employ small magnets attached to a spoke on either the front or rear wheel and a sensor located on the front fork or rear frame. As the magnet is carried past the detector once each wheel revolution, it produces an electrical pulse that is recorded and logged by an integrated circuit in the device. The distance traveled equals the total number of revolutions multiplied by the circumference of the wheel. (a) A typical mountain bike has a wheel diameter of 26 in. How far will a cyclist have traveled in both miles and kilometers if her cyclometer indicates that her front wheel has made 25,000 revolutions during her trip? (b) If the cyclometer clock shows that the elapsed time for the trip was 2 hours and 40 minutes, what was the rider’s average speed during this period?
Consider the two parallel wires carrying currents in opposite directions in Figure OQ3G.9. Due to the magnetic interaction between the wires, does the lower wire experience a magnetic force that is (a) upward, (b) downward, (c) to the left, (d) to the right, or (e) into the paper?
Earth’s magnetic field lines are not parallel to its surface except in certain places: they actually 44dip” downward at some angle to the ground. (An ordinary compass does not show this.) (a) At what places on Earth would the magnetic dip” be the greatest? (b) Where on Earth would the dip be zero?
A particle in the cyclotron shown in Figure 28.16a gains energy qV from the alternating power supply each time it passes from one dee to the other. The time interval for each full orbit is T=2=2mqB so the particles average rate of increase in energy is 2qVT=q2BVm Notice that this power input is constant in time. On the other hand, the rate of increase in the radius r of its path is not constant. (a) Show that the rate of increase in the radius r of the panicles path is given by drdt=1rVB (b) Describe how the path of the particles in Figure 28.16a is consistent with the result of part (a). (c) At what rate is the radial position of the protons in a cyclotron increasing immediately before the protons leave the cyclotron? Assume the cyclotron has an outer radius of 0.350 m, an accelerating voltage of V = 600 V, and a magnetic field of magnitude 0.800 T. (d) By how much does the radius of the protons path increase during their last full revolution? Figure 28.16 (a) A cyclotron consists of an ion source at P, two does D1 and D2 across which an alternating potential difference is applied, and a uniform magnetic field. (The south pole of the magnet is not shown.) (b) The first cyclotron, invented by E. O. Lawrence and M. S. Livingston in 1934.
A long, vertical, metallic wire carries downward electric current. (i) What is the direction of the magnetic field it creates at a point 2 cm horizontally east of the center of the wire? (a) north (b) south (c) east (d) west (e) up (ii) What would be the direction of the field if the current consisted of positive charges moving downward instead of electrons moving upward? Choose from the same possibilities as in part (i).
Integrated Concepts (a) Show that the period of the circular orbit of a charged particle moving perpendicularly to a uniform magnetic field is T = 2(m/(qB). (b) What is the frequency f? (c) What is the angular velocity ( Note that these results are independent of the velocity and radius of the orbit and, hence, of the energy of the particle. (Figure 22.64.] Figure 22.6-4 Cyclotrons accelerate charged particles orbiting in a magnetic field by placing an AC voltage on the metal Dees, between which the particles move, so that energy is added twice each orbit. The frequency is constant, since it is independent of the particle energyThe radius of the orbit simply increases with energy until the particles approach the edge and are extracted for various experiments and applications.
With the exception of compasses, you seldom see or personally experience forces due to the Earth’s small magnetic field.To illustrate this, suppose that in a physics lab you rub a glass rod with silk, placing a 20-nC positive charge on it. Calculate the force on the rod due to the Earth’s magnetic field, if you throw it with a horizontal velocity of 10 m/s due west in a place where the Earth’s field is due north parallel to the ground. (The direction of the force is determined with right hand rule 1 as shown.)
5. Two protons move parallel to the x-axis in opposite directions at the same speed v=3.0 × 105 m⁄s. At the instant shown, find the electric and magnetic forces on the upper proton if the distance between the two protons is r=5.0 × 10−10 m.
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Same situation as in the previous two problems this time the magnet s mass is 3.71 kg and the magnetic force pulling it to the right is 155.2 N. The length of the cord is 1.58 m, and the ceiling is 3.41 m above the floor. Suppose that you cut the cord and the magnet falls to the floor while still being pulled to the right by the force of 155.2 N. How long will it take the magnet to hit the floor?