73. A uniform magnetic field of magnitude 0.150 T is directed along the positive xaxis. A positron moving at a speed of 5.00 × 10º m/s enters the field along a direc- tion that makes an angle of 0 = 85.0° with the x axis (Fig. P29.73). The motion of the particle is expected to be a helix as described in Section 29.2. Calculate (a) the pitch p and (b) the radius rof the trajectory as defined in Figure P29.73. B Figure P29.73

73. A uniform magnetic field of magnitude 0.150 T is directed along the positive xaxis. A positron moving at a speed of 5.00 × 10º m/s enters the field along a direc- tion that makes an angle of 0 = 85.0° with the x axis (Fig. P29.73). The motion of the particle is expected to be a helix as described in Section 29.2. Calculate (a) the pitch p and (b) the radius rof the trajectory as defined in Figure P29.73. B Figure P29.73

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A solenoid is wound with 670 turns, is 50cm long, and is 4cm in diameter as you look down its axis. The current produces a 4mT magnetic field at the center of the solenoid. The magnetic flux, in Tm2, (or Wb) in the solenoid is:
Consider a circular wire loop of radius a located in the yz plane and carrying a steady current I as shown. Calculate the magnetic field at an axial point P a distance x from the center of the loop.
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9. A rectangular coil consists of N=10 closely wrapped turns and has dimensions a = 0.400 m and b=0.300 m. The coil is hinged along the y axis, and its plane makes an angle -60.0° with the x I- 1.20 A axis. What are the magnitude and the direction of the torque exerted 0.400 m on the coil by a uniform magnetic field B=0.800 T directed along the +x axis when the current is /=1.20 A in the direction shown? 60° 0.300 m (a) 0,576 N m, - y direction (b) 0,576 N m, +y direction (c) 0,0576 N m , -y direction (d) 0,0576 N m , +y direction (e) 0,0998 N m, -y direction (f) 0,0998 N m, +y direction
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A 20 cm diameter and 20 turn circular coil is located in the xz-plane,and each wire of the coil carries a current of 2.0 A in the counter-clockwise direction.An external magnetic field B=(0.55i+0.60j-0.65k) passes through the coil.Find the coil's magnetic moment µ (in units of Am^2),the torque (in units of Nm) acting on the coil due to external magnetic field,and the potential energy of the coil within the field (in units of jule).Take pi=3. a)µ=1.2(-k); t=[0.72i-0.66j] ;U=-0.78 b)µ=1.2j ; t=[0.78i+0.66k] ; U=0.72 c)µ=1.2(-i); t=[-0.78j-0.72k] ; U=0.66 d)µ=1.2k ; t=[-0.72i+0.66j] ; U=0.78 e)µ=1.2j ; t=[-0.78i-0.66k] ; U=-0.72
51. A rectangular coil consists of N = 100 closely wrapped M turns and has dimensions a = 0.400 m and b=0.300 m. The coil is hinged along the y axis, and its plane makes an angle 0 = 30.0° with the x axis (Fig. P29.51). (a) What is the magnitude of the torque exerted on the coil by a uniform magnetic field B = 0.800 T directed in the positive x direction when the current is I = 1.20 A in the direction shown? (b) What is the expected direction of rotation of the coil? %3D B I a X- Figure P29.51
1. A bizarre wire carries a uniform current of I = 2.50 A that emerges from point a and disappears at point ba distance of L = 0.150 m away. We wish to use the law of Biot- Savart to determine the magnitude and direction of the magnetic field at the point, Pa distance y = 0.065 m above the center of the wire. Y y x I a dỉ = dx
A 7.00 turn circular coil of wire is centered on the origin in the xy-plane. The coil has radius r = 0.300 m and carries a counterclockwise current I = 1.90 A (see the figure below). HINT B 0 Apply the expressions for the magnetic moment of a current-carrying loop and the torque on a current-carrying loop. Click the hint button again to remove this hint. (a) Calculate the magnitude (in A m²) of the coil's magnetic moment. A. m² (b) Find the magnitude (in N m) of the magnetic torque on the coil due to a 0.300 T magnetic field that is directed at an angle = 55.0° from the positive z-direction and has components only in the xz-plane. N m
9
B4
8. An electromagnet is made by inserting a soft iron core into a solenoid. The solenoid has 1800 turns, radius 2.00 cm, and length 23.5 cm. When 2.00 A of current flows through the solenoid, the magnetic field inside the iron core has magnitude 0.920 T. What is the relative permeability κB of the iron core?