Question: The magnetic induction in a betatron on an equilibrium orbit of radius r varies during the acceleration time at practically constant rate from zero to

The magnetic induction in a betatron on an equilibrium orbit of radius r varies during the acceleration time at practically constant rate from zero to B.

Assuming the initial velocity of the electron to be equal to zero, find:
(a) The energy acquired by the electron during the acceleration time;
(b) The corresponding distance covered by the electron if the acceleration time is equal to ∆t.

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