Find the radius of curvature (in m) of the path of a 0.220 MeV proton moving perpendicularly to the 1.25 T field of a cyclotron.

An electron moves in an uniform magnetic field (with the orbital plane perpendicular to the field). If the cylotron radius of the electron is 60 cm and it's kinetic energy is 9.6 keV, find the electron's speed, the magnitude of the magnetic field, the cyclotron frequency, and the period of the motion. Use me=9.11×10−31me=9.11×10-31 kg, e=1.6×10−19e=1.6×10-19 C, and 1 T = 104 G. The speed, v =  Units             Correct . The magnetic field, B =  Units              . The cyclotron frequency, f =  Units             Correct . The period, T =  Units             Correct .

Suppose a cyclotron is operated at an oscillator frequency of 11.2 MHz and has a dee radius 41.9 cm. Estimate the total path length traveled by a deuteron in the cyclotron during the (entire) acceleration process. Assume that the accelerating potential between the dees is 60.4 kV. The deuteron mass is m = 3.34 × 10-27 kg.

In an oil-drop experiment similar to Millikan’s, an oil droplet is suspended between two parallel, charged plates. Calculate the magnitude of the charge on the oil droplet if the radius of the oil drop is 4.2 x 10^-6 m, the density of the oil is 7.8 x 10^-2 g/m^3, the distance between the plates is 2.0 cm, and the potential difference between the plates is 99 V.

A constant electric field accelerates a proton from rest through a distance of 1.20 m to a speed of 1.53 ✕ 105 m/s. The mass and charge of a proton are  mp = 1.67 ✕ 10−27 kg and qp = e = 1.60 ✕ 10−19 C.)   (a) Find the change in the proton's kinetic energy (in J).  J  (b)Find the change in the system's electric potential energy (in J).  J (c) Calculate the magnitude of the electric field (in N/C).  N/C

A cyclotron is a machine that can be used to accelerate charged particles to achieve large kinetic energies.  The resulting beams of highly energetic particles then can be used for many medical applications, including Proton Therapy (a more precise form of "radiation" used in the treatment of some cancers).     A description of the cyclotron can be found in section 19.3 of the text.  If a proton (of mass 1.673x10-27kg) is accelerated to its maximum velocity inside a dee with radius 2.08cm (this is the radius you would use for the "r" term in the centripetal acceleration), and if the magnetic field has a magnitude of 2.44x10-2T, what is the resulting velocity of the proton in units of km/s (kilometer per second)?

A 40.4-MeV proton moves in the horizontal plane in a region of vertically-directed magnetic field. Find the magnetic field magnitude if the proton experiences a 55.4 pN magnetic force.