A uniform magnetic field of magnitude 1.40 T is in the positive z direction. Find the force exerted by the field on a proton for the following proton velocities. (a) = 2.5 Mm/s i PN i + PN j + PN k (b) v = 3.7 Mm/s j pN Î + PN j + PNR (c) v = 6.8 Mm/s k PN i + pN j + PN k (d) 7 = 4.6 Mms i + 3.2 Mm/s j pNÎ + pN j + PN k
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- A point charge Q = 9 nC travels with a velocity of 200 km/s in the direction of a_v = (3 a_x + 2 a_y + a_z)/sqrt(3^2+2^2+1^2). Determine the magnetic force due to a magnetic field B = 3 a_x + 2 a_y + a_z T. 5.4x10^-9 3.6x10^-9 1.8x10^-9 7.2x10^-9 none of the choicesA positively charged particle travels in the positive x direction through a region of magnetic field in the negative y direction. In what direction is the resulting force? O negative x direction O negative z direction O positive y directionThe uniform 30 mT magnetic field in figure points in the positive z-direction. An electron enters the region of magnetic field with a speed of 3.0 x 106 m/s and at an angle of ô = 30° above the xy-plane. Find the radius r and the pitch p of the electron's spiral trajectory. Z B 4
- A small particle with charge q, m 6.0x10-6 kg, and speed 40.0m/s enters a region of uniform magnitude field B= 5.0T. The direction of the magnetic field is out of the page. The particle travels counterclockwise on the path shown and it exits the region at a point 0.5m from where it entered. What are the sign and magnitude of this charge?Electrons and protons travel from the Sun to the Earth at a typical velocity of 4.00 X 10^5 m/s in the positive x-direction. Thousands of miles from Earth, they interact with Earth's magnetic field of magnitude 3.00 X 10^-8 T in the positive z-direction. Find the (a) magnitude and (b) direction of the magnetic force on a proton. Find the (c) magnitude and (d) direction of the magnetic force on an electron.A proton (charge q = 1.6 × 10-19 C) moving with velocity 3 = (-5.0 × 10°i)m/s enters a region in which the magnetic field is B = 0.30k T. The magnitude and the direction of the magnetic force acting on the %3D %3D %3D proton are: Hint: 1.0 pN = 10-12 N %3D a. 24 pN, in thenegative y direction b. 24 pN, in the positive y direction O c. 1.5 pN, in the positive x direction С. d. 24 pN, in the negative z direction e. 15 pN, in the positive y direction
- One long wire lies along an x axis and carries a current of 62 A in the positive x direction. A second long wire is perpendicular to the xy plane, passes through the point (0, 5.8 m, 0), and carries a current of 59 A in the positive z direction. What is the magnitude of the resulting magnetic field at the point (0, 1.8 m, 0)? Number i 0.00000295 UnitsOne long wire lies along an x axis and carries a current of 38 A in the positive x direction. A second long wire is perpendicular to the xy plane, passes through the point (0, 4.3 m, 0), and carries a current of 64 A in the positive z direction. What is the magnitude of the resulting magnetic field at the point (0, 0.60 m, 0)? Number i UnitsA particle of mass 8.60 g and charge 92.0 µC moves through a uniform magnetic field, in a region where the free-fall acceleration is -9.8 m/s² without falling. The velocity of the particle is a constant 18.21 km/s, which is perpendicular to the magnetic field. What, then, is the magnetic field? Number ( ΜΟ î+ i Mo k) Units