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An electron moving with a speed of 4.2 × 105 m/s in the

Chapter 22, Problem 14P

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QUESTION:

Problem 14P

An electron moving with a speed of 4.2 × 105 m/s in the positive × direction experiences zero magnetic force. When it moves in the positive y direction, it experiences a force of 2.0 × 10−13 N that points in the negative z direction. What are the direction and magnitude of the magnetic field?

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QUESTION:

Problem 14P

An electron moving with a speed of 4.2 × 105 m/s in the positive × direction experiences zero magnetic force. When it moves in the positive y direction, it experiences a force of 2.0 × 10−13 N that points in the negative z direction. What are the direction and magnitude of the magnetic field?

ANSWER:

Step 1 of 2:-

Here, we have to calculate the magnitude and direction of the magnetic field.

When the electron is moving in +ve x direction, the magnetic force is zero.

When the particle is moving in +ve y direction, the magnetic force is zero.

This means that, the magnetic field is antiparallel to x direction or in the -ve x direction, according to .

But, the charged particle is an electron for which the magnetic field will be in +ve x direction.

The speed of the particle is,

.

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