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1. Assume the magnetic field is created by a pair of coils with a current circulating...

1. Assume the magnetic field is created by a pair of coils with a current circulating across them. If that current was increased by a factor of 2, how would the radius of the trajectory change?

2. Assume the electron is accelerated using an electric potential between two parallel plates. If that voltage was increased by a factor of 100, how would the radius of the trajectory change?

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Answer #1

1 We know that the radius of the trajectory is given by,

R = mv / qB

and magnetic field is given by B = \mu o n I

hence, radius is inversly proportional to the magnetic field and magnetic field is proportional to the current .

hence if increase the current by factor 2 magnetic field also increses by a factor 2 and hence radius become 1/2.

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