### Understanding the Interaction Between Magnetic and Electric Fields on a Moving Charged Particle**Problem Statement:**A negatively charged particle is moving with a constant velocity \( \vec{v} \) directed upward through a region of a uniform magnetic field \( \vec{B} \) directed into the page as shown in the figure below. In which direction must an electric field be applied to keep the particle moving along a straight line?### Diagram:The diagram illustrates the following:- The negatively charged particle (marked with a minus sign "-" inside a circle).- The velocity vector \( \vec{v} \) is directed upward (denoted by an arrow pointing upward).- The magnetic field \( \vec{B} \) is directed into the page (denoted by an "X" symbol).```plaintext ↑ | \(\vec{v}\) | O \(-\) │ X \(\vec{B}\) │----------------------```### Answer Choices:1. Upward2. Out of the page3. To the left in the plane of the page4. Into the page5. To the right in the plane of the page6. Downward### Answer Explanation:To determine the direction in which the electric field must be applied, let’s understand the forces acting on the particle:- **Magnetic Force**: For a negatively charged particle moving in a magnetic field, the force \( \vec{F}_B \) is given by the equation: \( \vec{F}_B = q (\vec{v} \times \vec{B}) \). - Since the charge is negative (\( q < 0 \)), the direction of \( \vec{F}_B \) is opposite to the conventional right-hand rule. - The particle is moving upward (\( \vec{v} \) directed up) and the magnetic field (\( \vec{B} \)) is directed into the page. - Thus, the force on the particle due to the magnetic field will be directed to the right of the plane of the page.- **Electric Force**: To counteract the magnetic force and keep the particle moving in a straight line, an electric force \( \vec{F}_E \) must be applied in the opposite direction of the magnetic force. - Given that the magnetic force is

If a charge moves in a straight line, the net force on it is zero, So electric force and magnetic…

A negatively charged particle is moving with a constant velocity directed upward through a region of a uniform magnetic field B directed into the page as shown in the figure. In which direction must an electric field be applied to keep the particle moving along a straight line? XB Select one: a.Upward b.Out of the page c. To the leftin the plane of the page d.Into the page e.To the right in the plane of the page f.Downward

A negatively charged particle is moving with a constant velocity directed upward through a region of a uniform magnetic field B directed into the page as shown in the figure. In which direction must an electric field be applied to keep the particle moving along a straight line? XB Select one: a.Upward b.Out of the page c. To the leftin the plane of the page d.Into the page e.To the right in the plane of the page f.Downward

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

### Understanding the Interaction Between Magnetic and Electric Fields on a Moving Charged Particle

**Problem Statement:**

A negatively charged particle is moving with a constant velocity \( \vec{v} \) directed upward through a region of a uniform magnetic field \( \vec{B} \) directed into the page as shown in the figure below. In which direction must an electric field be applied to keep the particle moving along a straight line?

### Diagram:

The diagram illustrates the following:
- The negatively charged particle (marked with a minus sign "-" inside a circle).
- The velocity vector \( \vec{v} \) is directed upward (denoted by an arrow pointing upward).
- The magnetic field \( \vec{B} \) is directed into the page (denoted by an "X" symbol).

```plaintext
↑
| \(\vec{v}\)
|
O \(-\)
│
X \(\vec{B}\)
│
----------------------
```

### Answer Choices:

1. Upward
2. Out of the page
3. To the left in the plane of the page
4. Into the page
5. To the right in the plane of the page
6. Downward

### Answer Explanation:

To determine the direction in which the electric field must be applied, let’s understand the forces acting on the particle:

- **Magnetic Force**: For a negatively charged particle moving in a magnetic field, the force \( \vec{F}_B \) is given by the equation: \( \vec{F}_B = q (\vec{v} \times \vec{B}) \).
- Since the charge is negative (\( q < 0 \)), the direction of \( \vec{F}_B \) is opposite to the conventional right-hand rule.
- The particle is moving upward (\( \vec{v} \) directed up) and the magnetic field (\( \vec{B} \)) is directed into the page.
- Thus, the force on the particle due to the magnetic field will be directed to the right of the plane of the page.

- **Electric Force**: To counteract the magnetic force and keep the particle moving in a straight line, an electric force \( \vec{F}_E \) must be applied in the opposite direction of the magnetic force.
- Given that the magnetic force is

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