Below is a uniform line of charge, with a charge value of Q. The line of charge has a length of d and is a distance of x away from Point P (to the right). P x axis (m) d Q = (-2.250x10^-9) C d = (3.400x10^0) m x= (5.00x10^-1) m у аxis (m)

Below is a uniform line of charge, with a charge value of Q. The line of charge has a length of d and is a distance of x away from Point P (to the right). P x axis (m) d Q = (-2.250x10^-9) C d = (3.400x10^0) m x= (5.00x10^-1) m у аxis (m)

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

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

### Electric Field Calculation at Point P

**Problem Statement:**
Find the **Electric Field at Point P due to the line of charge Q** for this setup.
*If the field is in the negative direction, make sure to include that in the answer.*

**Answer Requirements:**
- Include your answer with **3 significant figures.**
- Specify the **units** with your answer.

**Additional Note:**
Your answer is assumed to be **reduced to the highest power possible.**

**Response Format:**

Your Answer:
- [Answer box] x10 [Exponent box] [Unit box]

The layout provides three main input sections:
1. **Answer Box:** For entering the numerical value of the electric field.
2. **Exponent Box:** For specifying the power of ten.
3. **Unit Box:** For designating the units (e.g., N/C, V/m).

**Important Note:**
Ensure that your calculated electric field is in the correct direction (positive or negative) as per the given conditions of the problem.

### Uniform Line of Charge

#### Description
Below is a uniform line of charge, with a charge value of \( Q \). The line of charge has a length of \( d \) and is a distance of \( x \) away from Point \( P \) (to the right).

#### Diagram
The diagram is a visual representation of a uniform line of charge:

- **Y-axis:** Represents a standard vertical axis (positioned to the left of the line of charge).
- **Q:** Denotes the line of charge, depicted as a horizontal green rod.
- **P:** Indicates point \( P \), marked by a blue dot. This point lies on the same horizontal axis as the line of charge.
- **X-axis:** Represents the horizontal axis and is labeled \( x \, \text{axis (m)} \).

Measurements and Values:
- \( Q = (-2.250 \times 10^{-9}) \text{ C} \)
- \( d = (3.400 \times 10^{0}) \text{ m} \)
- \( x = (5.00 \times 10^{-1}) \text{ m} \)

#### Dimensions
- **Length \( d \):** From the starting point of the charge \( Q \), extending horizontally.
- **Distance \( x \):** From the endpoint of \( d \) to point \( P \).

This image demonstrates the configuration of a line of charge in relation to a specific point on its horizontal axis, \( P \). This setup can be used for educational purposes to explain concepts such as electric fields, charge distributions, and potential difference within the context of electrostatics.

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