Particle accelerators, such as the Large Hadron Collider, use magnetic fields to steer charged particles around a ring. Consider a proton ring with $36$ identical bending magnets connected by straight segments. The protons move along a $\backslash (1\mathrm{.}0-\backslash$mathrm$\{$m$\}\backslash )-$long circular arc as they pass through each magnet.

Part A

What magnetic field strength is needed in each magnet to steer protons around the ring with a speed of $\backslash (2\mathrm{.}0\backslash$times $10^\{7\}\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )?$ Assume that the field is uniform inside the magnet, zero outside. Express your answer with the appropriate units.

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