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 60 cm in diameter.

Answer 1

The given question is incomplete. The complete question is as follows.

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 60 cm in diameter.

What magnetic field strength will you need?

Step-by-step explanation:

Formula for the strength of magnetic field is as follows.

B =
`(mv)/(qr)`

Here, m = mass of proton =
`1.67 * 10^(-27)` kg

v = velocity = 10% of
`3 * 10^(8)` =
`3 * 10^(7)` m/s

q = charge of proton =
`1.6 * 10^(-19) C`

r = radius =
`(60)/(2)` = 30 cm = 0.30 m (as 1 m = 100 cm)

Therefore, magnetic field will be calculated as follows.

B =
`(mv)/(qr)`

=
`(1.67 * 10^(-27) * 3 * 10^(7))/(1.6 * 10^(-19) C * 0.30 m)`

=
`(5.01 * 10^(-20))/(0.48 * 10^(-19))`

= 1.0437 T

Thus, we can conclude that magnetic field strength is 1.0437 T.