Question: The aurora is caused when electrons and protons, moving in the earth's magnetic field of (approx 5.0 times 10^{-5} mathrm{~T}), collide with molecules of the

The aurora is caused when electrons and protons, moving in the earth's magnetic field of $\approx 5.0 \times 10^{-5} \mathrm{~T}$, collide with molecules of the atmosphere and cause them to glow. What is the radius of the circular orbit for

a. An electron with speed $1.0 \times 10^{6} \mathrm{~m} / \mathrm{s}$ ?

b. A proton with speed $5.0 \times 10^{4} \mathrm{~m} / \mathrm{s}$ ?

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