BackRadio astronomers detect electromagnetic radiation at 45 MHz from an interstellar gas cloud. They suspect this radiation is emitted by electrons spiraling in a magnetic field. What is the magnetic field strength inside the gas cloud?
(I) Alpha particles (charge q = +2e, mass m = 6.6 x 10-27 kg) move at 2.2 x 106 m/s. What magnetic field strength would be required to bend them into a circular path of radius r = 0.14 m?
An antiproton (same properties as a proton except that q = -e) is moving in the combined electric and magnetic fields of FIGURE P29.61. What are the magnitude and direction of the antiproton's acceleration at this instant?
Muons ( mass = 207 times the electron mass, same charge -e ) are accelerated horizontally by 65 kV. They then pass through a uniform magnetic field B for a distance of 3.8 cm, which deflects them upward so they reach a detector 22 cm away, 11 cm above their original direction. Estimate the value of B.
An electron is moving to the right in a region where the magnetic field points upward. In what direction is the force exerted by the magnetic field on the electron?
A 3.40-g bullet moves with a speed of 155 m/s perpendicular to the Earth’s magnetic field of 5.00 x 10⁻-5 T. If the bullet possesses a net charge of 18.5 x 10-9 C, by what distance will it be deflected from its path due to the Earth’s magnetic field after it has traveled 1.25 km?
What is the force (magnitude and direction) on the proton in FIGURE P31.28? Give the direction as an angle cw or ccw from vertical.
The uniform 30 mT magnetic field in FIGURE P29.65 points in the positive z-direction. An electron enters the region of magnetic field with a speed of 5.0 x 106 m/s and at an angle of 30° above the xy-plane. Find the radius r and the pitch p of the electron's spiral trajectory.
An electron is projected vertically upward with a speed of 1.70 x 106 m/s into a uniform magnetic field of 0.550 T that is directed horizontally away from the observer. Describe the electron’s path in this field.
An electron moves with velocity in a magnetic field . Determine the magnitude and direction of the force on the electron.
To five significant figures, what are the cyclotron frequencies in a 3.0000 T magnetic field of the ions (a) O₂⁺, (b) N₂⁺, and (c) CO⁺? The atomic masses are shown in the table; the mass of the missing electron is less than 0.001 u and is not relevant at this level of precision. Although N₂⁺ and CO⁺ both have a nominal molecular mass of 28, they are easily distinguished by virtue of their slightly different cyclotron frequencies. Use the following constants: 1 u = 1.6605 x 10⁻²⁷ kg, e = 1.6022 x 10⁻¹⁹ C.
(II) An electron experiences the greatest force as it travels 2.8 x 106 m/s in a magnetic field when it is moving northward. The force is vertically upward and of magnitude 7.4 x 10-13 N. What is the magnitude and direction of the magnetic field?
Determine the magnitude and direction of the force on an electron traveling 7.75 x 105 m/s horizontally to the east in a vertically upward magnetic field of strength 0.65 T.
A 65-cm-diameter cyclotron uses a 500 V oscillating potential difference between the dees. What is the maximum kinetic energy of a proton if the magnetic field strength is 0.75 T?
A proton is fired with a speed of 1.0×106 m/s through the parallel-plate capacitor shown in FIGURE P31.29. The capacitor's electric field is E =(1.0×105 V/m, down). How does an experimenter in the proton's frame explain that the proton experiences no force as the charged plates fly by?