A charged particle with speed v = 1.5 × 105 m/s enters a uniform magnetic field of B = 0.6 T. The velocity of the particle makes an angle of T/3 rad with the magnetic field. Mass and charge of the particle are m = 2.5 × 10-27 kg and q = 1.6 × 10¬19 C, respectively. Find the pitch of the helical path taken by the particle in units of millimeters. Answer:

A charged particle with speed v = 1.5 × 105 m/s enters a uniform magnetic field of B = 0.6 T. The velocity of the particle makes an angle of T/3 rad with the magnetic field. Mass and charge of the particle are m = 2.5 × 10-27 kg and q = 1.6 × 10¬19 C, respectively. Find the pitch of the helical path taken by the particle in units of millimeters. Answer:

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter30: Magnetic Fields And Forces

Section: Chapter Questions

Problem 90PQ: A mass spectrometer (Fig. 30.40, page 956) operates with a uniform magnetic field of 20.0 mT and an...

See similar textbooks

Similar questions

A uniform magnetic Held of magnitude 0.150 T is directed along the positive x axis. A positron moving at a speed of 5.00 106 m/s enters the Held along a direction that makes an angle of = 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 r of the trajectory as defined in Figure P29.73.
A proton precesses with a frequency p in the presence of a magnetic field. If the intensity of the magnetic field is doubled, what happens to the precessional frequency?
A mass spectrometer (Fig. 30.40, page 956) operates with a uniform magnetic field of 20.0 mT and an electric field of 4.00 103 V/m in the velocity selector. What is the radius of the semicircular path of a doubly ionized alpha particle (ma = 6.64 1027 kg)?
A spacecraft is in 4 circular orbit of radius equal to 3.0 104 km around a 2.0 1030 kg pulsar. The magnetic field of the pulsar at that radial distance is 1.0 102 T directed perpendicular to the velocity of the spacecraft. The spacecraft is 0.20 km long with a radius of 0.040 km and moves counter-clockwise in the xy-plane around the pulsar. (a) What is the speed of the spacecraft? (b) If the magnetic field points in the positive z-direction, is the emf induced from the back to the front of the spacecraft or from side to side? (c) Compute the induced emf. (d) Describe the hazards for astronauts inside any spacecraft moving in the vicinity of a pulsar.
Given the identification of the particles in Figure 31.2b, is the direction of the external magnetic field in Figure 31.2a (a) into the page, (b) out of the page, (c) impossible to determine?
A positron with kinetic energy 2.00 keV is projected into a uniform magnetic field of magnitude 0.100 T, with its velocity vector making an angle of 89.0° with . Find (a) the period, (b) the pitch p, and (c) the radius r of its helical path.
A positron with kinetic energy 1.80 keV is projected into a uniform magnetic field of magnitude 0.140 T, with its velocity vector making an angle of 88.0° with the field. Find (a) the period, (b) the pitch p, and (c) the radius r of its helical path.
A cyclotron, which is designed to accelerate protons of mass mp = 1.67 × 10-27 Kg, q= 1.6× 10-19 C to a kinetic energy of 10 MeV (1eV= 1.6× 10-19 J), has a radius of 1.20m. The magnitude of the uniform magnetic field B required is: B= 6.87 T B. B= 0.38 T C. B= 1.22 T D. B= 0.50 T
What is the radius of the path of an electron (mass 9×10-31 kg and charge 1.6×10-19 C) moving at a speed of 3x107 m/s in a magnetic field of 6 × 10-4 T perpendicular to it? What is its frequency? Calculate its energy in keV. ( 1 eV = 1.6 × 10-19 J).
An electron (q=−1.6×10−19C, m=9.1×10−31kg) is traveling with a speed eastward with a speed of 2.57×104m/s. If there is an electric field that points southward and has a strength of E=2800V/m, what is the magnitude and direction of the magnetic field that must be in that same region so that the combined electromagnetic force on the electron is zero?
for a proton to pass undeflected in a region where the electric field is 0.5 N/C and a magnetic field of 1.25 x 10-4 T, its speed must be a. 2.5 x 10-4 m/s b. less than 4.0 x 103 m/s c. 4.0 x 103 m/s d. greater than 4.0 x 103 m/s
In the figure, an electron accelerated from rest through potential difference V1=1.49 kV enters the gap between two parallel plates having separation d = 17.6 mm and potential difference V2= 164 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap?