A proton moves through a magnetic field at 39.7% of the speed of light. At a location where the field has a magnitude of 0.00693 T and the proton's velocity makes an angle of 131 with the field, what is the magnitude FB of the magnetic force acting on the proton? Use c = 2.998 108 m/s for the speed of light and e = 1.602 10-19 C as the elementary charge. FB = N A charged particle is injected at 191 m/s into a 0.0801-T uniform magnetic field perpendicularly to the field. The diameter of its orbit is measured and found to be 0.0323 m. What is the charge-to-mass ratio of this particle? charge-to-mass ratio: C/kg The National High Magnetic Field Laboratory once held the world record for creating the strongest magnetic field. For brief periods of time, their largest multi-shot pulsed magnet can produce magnetic fields in excess of 85 T. To see if such a strong magnetic field could pose health risks for nearby workers, calculate the maximum acceleration amax the field could produce for Na+ ions (of mass 3.8 10-26 kg) in blood traveling through the aorta. The speed of blood is highly variable, but 45 cm/s is reasonable in the aorta. Cmax = m/s A wire of length l = 0.65 m is conducting a current of i = 8.5 A toward the top of the page and through a B = 4.0 T uniform magnetic field directed into the page, as shown in the figure. What is the magnitude F of the magnetic force on the wire? F = What is the direction of the magnetic force on the wire? up into the screen out of the screen left down right N B A flat, 166 turn current-carrying loop is immersed in a uniform magnetic field. The area of the loop is 4.83 10-4 m, and the angle between its magnetic dipole moment and the field is 54.3. Find the strength B of the magnetic field that causes a torque of 2.15 105 Nm to act on the loop when a current of 0.00389 A flows in it. B = T