Suppose the initial speed of the proton in the figure is increased. Part A:Does

Question

Suppose the initial speed of the proton in the figure is increased.
Part A:Does the radius of each half-circular path segment increase, decrease, or stay the same?
Part B:Choose the best explanation from among the following:
A:A greater speed means the proton will experience more force from the magnetic field, resulting in a decrease of the radius.

B:The radius of a circular orbit in a magnetic field is proportional to the speed of the proton; therefore, the radius of the half-circular path will increase.

C:The increase in speed offsets the increase in magnetic force, resulting in no change of the radius.

Explanation / Answer

part A)

refer to the formula:

R=mv/qBsin

This shows that if the mass, charge, and magnetic field don’t change, the larger v will produce a larger R because v is in the numerator.

Thus the radius of each half-circular path segment increase.

part B)

answer B is correct:

B:The radius of a circular orbit in a magnetic field is proportional to the speed of the proton; therefore, the radius of the half-circular path will increase.

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