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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?

Respuesta :

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

[tex]R = \frac{mv}{qB}[/tex]

so we will have

[tex]R = 25 cm[/tex]

[tex]m = 1.6 \times 10^{-27} kg[/tex]

[tex]q = 1.6 \times 10^{-19} C[/tex]

[tex]v = 0.10 \times 3 \times 10^8 m/s[/tex]

now we have

[tex]0.25 = \frac{(1.6 \times 10^{-27})(3\times 10^7)}{(1.6 \times 10^{-19})B}[/tex]

now we have

[tex]B = 1.2 T[/tex]

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