Derive an expression for the kinematic behavior and kinetic energy of a positive particle initially at rest with mass, m, and charge, q in the following experimental system:

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Derive an expression for the kinematic behavior and kinetic energy of a positive particle initially at rest with mass, m, and charge, q in the following experimental system: 

 

### Electric Field and Movement of Charged Particles

#### Diagram Overview:

The diagram illustrates the movement of a positively charged particle in an electric field. Below is a detailed explanation of its components:

1. **Electric Field (E)**: Represented by black arrows pointing from the positive (left) side to the negative (right) side of the field. 
   - The electric field direction is consistent, moving uniformly from the positive (+) plate to the negative (-) plate. 

2. **Charged Particle Movement**:
   - A positively charged particle, symbolized by a red circle with a plus sign in it, moves horizontally to the right.
   - The red arrow demonstrates the direction of movement of the positive particle due to the electric field's influence.

3. **Positive and Negative Plates**:
   - The left vertical red bar represents the positively charged plate, indicated by the plus signs (+) at the end.
   - The right vertical blue bar depicts the negatively charged plate, signified by the minus signs (-) at the end.

#### Explanation for Educational Context:

When a charge is placed in an electric field, it experiences a force. In this specific illustration:

- The positively charged particle is initially located near the positive plate (left, red bar).
- Under the influence of the electric field (E), the positive charge is repelled by the positively charged plate and attracted towards the negatively charged plate (right, blue bar).
- Hence, the red arrow demonstrates the path that the positive charge will follow, moving from the positive plate to the negative plate across the electric field.

This movement illustrates a fundamental concept in electromagnetism: **"Like charges repel and opposite charges attract"**. In an electric field, a positively charged particle will always move from the positive towards the negative plate, indicating the field's direction and the particle's response to it.
Transcribed Image Text:### Electric Field and Movement of Charged Particles #### Diagram Overview: The diagram illustrates the movement of a positively charged particle in an electric field. Below is a detailed explanation of its components: 1. **Electric Field (E)**: Represented by black arrows pointing from the positive (left) side to the negative (right) side of the field. - The electric field direction is consistent, moving uniformly from the positive (+) plate to the negative (-) plate. 2. **Charged Particle Movement**: - A positively charged particle, symbolized by a red circle with a plus sign in it, moves horizontally to the right. - The red arrow demonstrates the direction of movement of the positive particle due to the electric field's influence. 3. **Positive and Negative Plates**: - The left vertical red bar represents the positively charged plate, indicated by the plus signs (+) at the end. - The right vertical blue bar depicts the negatively charged plate, signified by the minus signs (-) at the end. #### Explanation for Educational Context: When a charge is placed in an electric field, it experiences a force. In this specific illustration: - The positively charged particle is initially located near the positive plate (left, red bar). - Under the influence of the electric field (E), the positive charge is repelled by the positively charged plate and attracted towards the negatively charged plate (right, blue bar). - Hence, the red arrow demonstrates the path that the positive charge will follow, moving from the positive plate to the negative plate across the electric field. This movement illustrates a fundamental concept in electromagnetism: **"Like charges repel and opposite charges attract"**. In an electric field, a positively charged particle will always move from the positive towards the negative plate, indicating the field's direction and the particle's response to it.
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