Question

For your senior project, you would like to build a cyclotron that will accelerate protons to 10% of the speed of light. The largest vacuum chamber you can find is 50 cm in diameter. What magnetic field strength will you need?

Answer 1

Answer:

Magnetic field strength in that region is 1.2 T

Explanation:

As we know by the formula of radius of charge moving in external field is given as

$R = \frac{mv}{qB}$

so we will have

$R = 25 cm$

$m = 1.6 \times 10^{-27} kg$

$q = 1.6 \times 10^{-19} C$

$v = 0.10 \times 3 \times 10^8 m/s$

now we have

$0.25 = \frac{(1.6 \times 10^{-27})(3\times 10^7)}{(1.6 \times 10^{-19})B}$

now we have

$B = 1.2 T$