The magnetic field of the Earth is similar in shape to that of a bar magnet, as shown in the figure. If a proton from space enters the Earth's magnetic field to the left of the Earth, with a velocity of 8x107 m/s directed into the page, and the Earth has a magnetic field strength of 1x10-5 T at this location; a) What is the magnitude of the force acting on the proton? b) What is the direction of the force acting on the proton? c) What is the radius of the resulting circular trajectory that the proton will follow?
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- A proton travels with a speed of 8.7 ✕ 106 m/s at an angle of 21° west of north. A magnetic field of 0.34 T points to the north. (a) Determine the magnitude of the magnetic force on the proton. N(c) Determine the proton's acceleration as it moves through the magnetic field. m/s2 (Hint: The magnetic force experienced by the proton in the magnetic field is proportional to the component of the proton's velocity that is perpendicular to the magnetic field.)A proton travels with a speed of 5.00 ✕ 106 m/s at an angle of 61° with the direction of a magnetic field of magnitude 0.210 T in the positive x-direction. (a) What is the magnitude of the magnetic force on the proton? N(b) What is the proton's acceleration? (Give the magnitude.) m/s27. Two long current carrying wires, I and I2, are separated by 2 mm and both carry a current of 8 A. What is the y-component of the magnetic force in newtons on a one meter length of one of the top wire?
- A cosmic ray proton moving toward the Earth at 4.5 × 107 m/s experiences a magnetic force of 1.5 × 10-16 N . What is the strength of the magnetic field if there is a 45º angle between it and the proton’s velocity?A particle of mass 8.25 kg is trapped in a magnetic field of strength 8.59T going at a speed of 60.12 m/s in a perfect circle of radius 5.80m as shown below. What is the charge on the particle? Ignore any gravitational effects.A group of particles is traveling in a magnetic field of unknown magnitude and direction. You observe that a proton moving at 1.50 km/s in the +x-direction experiences a force of 2.25 * 10-16 N in the +y-direction, and an electron moving at 4.75 km/s in the -z-direction experiences a force of 8.50 * 10-16 N in the +y-direction. (a) What are the magnitude and direction of the magnetic field? (b) What are the magnitude and direction of the magnetic force on an electron moving in the -y-direction at 3.20 km/s?
- A particle accelerator fires a proton into a region with a magnetic field that points in the +x-direction. (a) If the proton is moving in the +y-direction, what is the direction of the magnetic force on the proton? +x-direction −x-direction +y-direction −y-direction +z-direction −z-direction zero force (b) If the proton is moving in the −y-direction, what is the direction of the magnetic force on the proton? +x-direction −x-direction +y-direction −y-direction +z-direction −z-direction zero force (c) If the proton is moving in the +x-direction, what is the direction of the magnetic force on the proton? +x-direction −x-direction +y-direction −y-direction +z-direction −z-direction zero forceThe Earth’s magnetic field has a magnitude of approximately 5.0x10^-5T, and in New York City this field is directed toward the north geographic pole. If a proton is traveling in an easterly direction with a speed of 600m/s, what are the magnitude and direction of the magnetic force on the proton?A proton moves perpendicular to the magnetic field of 0.5 T. The track is observed to be a circular arc of radius 2.0 cm. Find: a) The direction of the force acting on the proton? b) The velocity of the proton c) The kinetic energy of the moving proton d) The magnitude of the force acting on the proton
- A proton travels with a speed of 4.90 x 106 m/s at an angle of 62° with the direction of a magnetic field of magnitude 0.240 T in the positive x-direction. (a) What is the magnitude of the magnetic force on the proton? N (b) What is the proton's acceleration? m/s²A long wire carries a current toward the west in a magnetic field that is directed vertically downward, perpendicular to the surface of Earth. What is the direction of the magnetic force on the wire? O upward O north O east O west O southA negatively charged particle is moving to the right, directly above a wire having a current owing to the right, as shown in the figure. In which direction is the magnetic force exerted on the particle? O a downward Ob The magnetic force is zero since the velocity is parallel to the current. Oc out of the page Od into the page Oe upward