Problem 22.85 A particle with a charge of 38 ? C moves with a speed of 74m/s in
ID: 1271910 • Letter: P
Question
Problem 22.85
A particle with a charge of 38?C moves with a speed of 74m/s in the positive x direction. The magnetic field in this region of space has a component of 0.41T in the positive y direction, and a component of 0.84T in the positive zdirection.
Part A
What is the magnitude of the magnetic force on the particle?
Express your answer using two significant figures.
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Part B
What is the direction of the magnetic force on the particle? (Find the angle measured from the positive z-axis toward the negative y-axis in the yz-plane.)
Express your answer using two significant figures.
Problem 22.85
A particle with a charge of 38?C moves with a speed of 74m/s in the positive x direction. The magnetic field in this region of space has a component of 0.41T in the positive y direction, and a component of 0.84T in the positive zdirection.
Part A
What is the magnitude of the magnetic force on the particle?
Express your answer using two significant figures.
F = mNSubmitMy AnswersGive Up
Part B
What is the direction of the magnetic force on the particle? (Find the angle measured from the positive z-axis toward the negative y-axis in the yz-plane.)
Express your answer using two significant figures.
? = ?Explanation / Answer
We need the two magnetic force components
F = qvB
F = (38 X 10-6)(74)(.41)
F = 1.153 X 10-3 N in positive z direction
Then
F = qvB
F = (38 X 10-6)(74)(.84)
F = 2.36 X 10-3 N in the negative y direction
The net is from the Pythagorean theorem
Net2 = (1.153 X 10-3)2 + (2.36 X 10-3)2
Net = 2.6 mN
Part B)
For the angle...
tan(angle) = 2.36 X 10-3/1.153 X 10-3
angle = 64o
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