Question

magnetic field question

In a circular particle collider, we want to have some protons make 10,000 revolutions per minute on a circular track with radius r = I mile = 1.61 * 10^4 meters. m=1 .67* 1 0^-27kg and q=1 .60* 10^-19C. How strong of a magnetic field do we need to achieve this? A) 1.04*10^-4T B) 2.74*10^-3T C) 6.56*10^-4T D) 5.91*10^-3T E) 2.74*10^-4T

Answer 1

Nwetons 2nd law for the circular motion

B* q_p *v= mv²/r ;

B= mv/(qr) ; but $v=r\omega =r(2\pi f)$ . where f=10000/60 ;

B= m*2*pi*f/q;

B= 1.09*10^-5 T