A proton is moving with a speed of 3e6 m/s. What is the magnitude of the magnetic field created by this moving proton at a distance of 4.8 nm? B) If the proton enters a uniform magnetic field of strength 8.3 uT, what is the magnitude of the magnetic force on the proton? (The velocity of the proton is perpendicular to the direction of the magnetic field.) C) The proton will begin moving uniform circular motion due to this magnetic force. What is the radius of this circular motion?

A singly charged ion of mass m is accelerated from rest by a potential difference AV. It is then deflected by a uniform magnetic field (perpendicular to the lon's velocity) into a semicircle of radius R. Now a triply charged ion of mass m' is accelerated through the same potential difference and deflected by the same magnetic field into a semicircle of radius R' = GR. What is the ratio of the masses of the ions? m'/m =

A proton moves in a circular path of the same radius as a cosmic ray electron moving at 6.5 × 106 m/s perpendicular to the Earth’s magnetic field at an altitude where the field strength is 1.0 × 10-5 T . A) What will the speed of the proton be in m/s?  B) What would the radius of the path be in meters if the proton had the same speed as the electron?  C) What would the radius be in meters if the proton had the same kinetic energy as the electron?  D) What would the radius be in meters if the proton had the same momentum as the electron?

Problem 4 = The figure below shows a mass spectrometer, a device used to measure the masses of ions. Consider a positive ion of unknown mass m and charge q 4.8 x 10-19 C. The ion is first accelerated from rest through a potential difference AV inside a source. After leaving the source, it travels rightward at constant speed and enters a region of uniform magnetic field B 3.5 T directed out of the page. The ion then moves in a semicircle of radius r within the field, striking a plate at a vertical distance x = 12 m below its point of entry. Ignore the effect of gravity. (a) (b) (c) S ᎪᏤ +q O QO Determine the mass m of the ion. B out Find the potential difference AV (with correct magnitude and sign) through which the ion is accelerated if it attains a kinetic energy of 6.0 x 10-16 J upon leaving the source. Suppose it is desired that the ion travel through the magnetic-field region without being deflected (i.e., at constant speed along a straight line). In addition to the magnetic field,…