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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 =   mN  

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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.

? =   ?  

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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