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**1. Homework Statement**

A deuteron nucleus (consisting of one proton and one neutron) has a mass of 3.34x10

^{-27}kg and a charge of 1.602x10

^{-19}C. The deuteron nucleus travels in a circular path of radius, 6.6mm, in a magnetic field with magnitude of 2.1T.

A) Find the speed of the deuteron nucleus

B) Find the time required to make one-half of a complete rotation

C) Through what potential difference would the deuteron nucleus have to be accelerated in order to acquire this speed?

**2. Homework Equations**

F=qvB=ma

_{r}=(mv

^{2})/r

r=(mv)/(qB)

**3. The Attempt at a Solution**

I believe this situation is considered cyclotron motion.

A)

##r=\frac{mv}{qB}##→##v=\frac{rqB}{m}##= ##\frac{(6.6*10^-3m)(1.602*10^-19C)(2.1T)}{3.34*10^-27kg}##=6.6*10

^{5}##\frac{m}{s}##

B)I am stuck on B, which equations should I be using?

C) Ill get to c after I figure out B!

Any help will be appreciated!