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A particle with charge q and mass m, initially moving along the x-axis at velocity v enters a region where a uniform magnetic field pointing into the page B = -BK extends over a width 1 in the x-direction as shown below. The particle is deflected a distance d in the +y direction as it traverses the field. Y Se (c) (d) useful: D x ) Is the charge q positive or negative? Why? What is the radius of the orbit r in terms of d and 1? You may find the following diagram In terms of q, B, d, and I, what is the magnitude of the momentum p = mv of the charge? Suppose d - r/2 and 1-√√√/3r/2 What is the time + between the charge entering the

A particle with charge q and mass m, initially moving along the x-axis at velocity v enters a region where a uniform magnetic field pointing into the page B = -BK extends over a width 1 in the x-direction as shown below. The particle is deflected a distance d in the +y direction as it traverses the field. Y Se (c) (d) useful: D x ) Is the charge q positive or negative? Why? What is the radius of the orbit r in terms of d and 1? You may find the following diagram In terms of q, B, d, and I, what is the magnitude of the momentum p = mv of the charge? Suppose d - r/2 and 1-√√√/3r/2 What is the time + between the charge entering the

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Problem 4 A particle with charge q and mass m, initially moving along the x-axis at velocity v enters a region where a uniform magnetic field pointing into the page B = − BÊ extends over a width / in the x-direction as shown below. The particle is deflected a distance d in the +y direction as it traverses the field. Y (a) (b) (c) (d) useful: 9 X = B D X Is the charge q positive or negative? Why? What is the radius of the orbit r in terms of d and 1? You may find the following diagram d Suppose d = In terms of q, B, d, and 1, what is the magnitude of the momentum p = mv of the charge? r/2 and 1 √3r/2. What is the time t between the charge entering the magnetic field and being deflected by d in the +y direction, in terms of m, q, and B? (Hint: Think about how much of an orbital period T the charge covers as it's displaced by d in the +y direction.)
Transcribed Image Text:Problem 4 A particle with charge q and mass m, initially moving along the x-axis at velocity v enters a region where a uniform magnetic field pointing into the page B = − BÊ extends over a width / in the x-direction as shown below. The particle is deflected a distance d in the +y direction as it traverses the field. Y (a) (b) (c) (d) useful: 9 X = B D X Is the charge q positive or negative? Why? What is the radius of the orbit r in terms of d and 1? You may find the following diagram d Suppose d = In terms of q, B, d, and 1, what is the magnitude of the momentum p = mv of the charge? r/2 and 1 √3r/2. What is the time t between the charge entering the magnetic field and being deflected by d in the +y direction, in terms of m, q, and B? (Hint: Think about how much of an orbital period T the charge covers as it's displaced by d in the +y direction.)
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