Explanation 1) Concept: We are given the angle between the velocity of the positron and its magnetic field. From this, we can find the velocity component perpendicular to the magnetic field. We have the formula for the radius of the orbital of positron. We substitute the radius and velocity component in the formula for time period, and we get the time period. We are also given the kinetic energy of the positron; from this, we can find the velocity of the positron. Once we get the velocity, we can find the pitch and the radius of its helical path. 2) Formula: i) T = 2 π r V . ii) p = v cos ⁡ ϕ × T . iii) r = m e v sin ⁡ ϕ e B . iv) K = 1 2 m e v 2 . 3) Given: i) B = 0.100 T . ii) Angle between velocity and magnetic field is ϕ = 89.0 ° . iii) K = 2.00 k e V . 4) Solution: a) If v is the speed of the positron, then the speed of the positron along the plane perpendicular to the magnetic field will be v sin ⁡ ϕ , as the angle between velocity and field is given by ϕ . We know that T = 2 π r v We substitute the value for r and v in the above equation. T = 2 π m e v sin ⁡ ϕ e B v sin ⁡ ϕ T = 2 π m e e B T = 2 π 9.11 × 10 - 31 1.60 × 10 - 19 0.100 T = 3.58 × 10 - 10 s b) As we know the kinetic energy for the positron, K = 1 2 m e v 2 v 2 = 2 K m e v = 2 K m e We have to convert kinetic energy into Joule

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

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Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

Question

Chapter 28, Problem 33P

To determine

To find:

a) Time period for positron.

b) Pitch of the positron.

c) Radius of helical path.

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Chapter 28, Problem 32P

Chapter 28, Problem 34P

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Chapter 28 Solutions

Fundamentals of Physics Extended

Ch. 28 - Prob. 1Q Ch. 28 - Prob. 2Q Ch. 28 - Prob. 3Q Ch. 28 - Prob. 4Q Ch. 28 - In Module 28-2, we discussed a charged particle...Ch. 28 - Figure 28-26 shows crossed uniform electic and...Ch. 28 - Figure 28-27 shows the path of an electron that...Ch. 28 - Figure 28-28 shows the path of an electron in a...Ch. 28 - a In Checkpoint 5, if the dipole moment is rotated...Ch. 28 - Particle round about. Figure 28-29 shows 11 paths...

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a) Time period for positron. b) Pitch of the positron. c) Radius of helical path.

Solution Summary: The author explains how to find the time period, pitch, and radius of the positron.

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To find: a) Time period for positron. b) Pitch of the positron. c) Radius of helical path.

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Chapter 28 Solutions

To find:

a) Time period for positron.

b) Pitch of the positron.

c) Radius of helical path.