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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6df0d7cf-37bf-48ea-ad68-5140fb9f55b5%2F6fd4bef3-ed7c-4ec4-9646-9f303259895a%2Fvj3klt_processed.png&w=3840&q=75)
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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