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// Ex20_2 Page:391 (2014)
clc;clear;
q = 1.6e-019; // Charge on an electron, C
e = 1.6e-019; // Energy equivalent of 1 eV, J/eV
m = 1.67e-027; // Mass of a proton, kg
B = 2; // Applied magnetic field, T
R = 0.25; // Maximum radius of cyclotron, m
f = q*B/(2*%pi*m); // Frequency needed for applying alternating voltage, Hz
K = (q*B*R)^2/(2*m); // Kinetic energy of protons when they leave the cyclotron, J
printf("\nThe frequency needed for applying alternating voltage = %4.1f MHz", f/1e+006);
printf("\nThe kinetic energy of protons when they leave the cyclotron = %2d MeV", ceil(K/(e*1e+006)));
// Result
// The frequency needed for applying alternating voltage = 30.5 MHz
// The kinetic energy of protons when they leave the cyclotron = 12 MeV
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