5. Let's try another one of electric field combination questions for the practice. Source particle 1 is located at coordinates (4,1) cm and source 2 at (-4, -4) cm. Source 1 has charge -3 „C while source 2's charge is 4 „C. What is the total electric field at the target location, (5,6) cm? [Enter your answer with the following format: X*i+Y*j, where you substitute the numerical values of the components along the , and ,

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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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### Electric Field Combination Practice

**5. Problem Statement:**
Consider two source particles for this exercise. 
- **Particle 1:** Charge of \(-3 \, \mu C\) located at coordinates \((4, 1)\) cm.
- **Particle 2:** Charge of \(4 \, \mu C\) located at coordinates \((-4, -4)\) cm.

**Question:**  
Determine the total electric field at the target location \((5, 6)\) cm.

**Response Format:**  
Express your answer as \(X*i + Y*j\), where X and Y are the components of the electric field in the x and y directions, respectively. Use 'i' and 'j' as unit vectors. Display multiplication with an asterisk (*), and ensure all units are in standard MKS (meter-kilogram-second) base units with two decimal precision. Use scientific notation where appropriate, e.g., \(1.23 \times 10^{-45}\) as 1.23E-45.

**Input Box:**  
- `total E-field =`

---

**6. Zero Electric Field Points Identification:**

A sequence of identical charged particles is depicted. Your task is to identify which of the specified points have a zero electric field. 

**Options:**  
- a
- b
- c
- d
- e

**Instructions:**  
Select all that apply by typing the corresponding letters together. For example, if you think points a, b, and c have zero electric fields, enter 'abc'.

**Input Box:**  
- `Answer:`

This exercise will test your understanding of electric field principles and your skill in calculating field vectors.
Transcribed Image Text:### Electric Field Combination Practice **5. Problem Statement:** Consider two source particles for this exercise. - **Particle 1:** Charge of \(-3 \, \mu C\) located at coordinates \((4, 1)\) cm. - **Particle 2:** Charge of \(4 \, \mu C\) located at coordinates \((-4, -4)\) cm. **Question:** Determine the total electric field at the target location \((5, 6)\) cm. **Response Format:** Express your answer as \(X*i + Y*j\), where X and Y are the components of the electric field in the x and y directions, respectively. Use 'i' and 'j' as unit vectors. Display multiplication with an asterisk (*), and ensure all units are in standard MKS (meter-kilogram-second) base units with two decimal precision. Use scientific notation where appropriate, e.g., \(1.23 \times 10^{-45}\) as 1.23E-45. **Input Box:** - `total E-field =` --- **6. Zero Electric Field Points Identification:** A sequence of identical charged particles is depicted. Your task is to identify which of the specified points have a zero electric field. **Options:** - a - b - c - d - e **Instructions:** Select all that apply by typing the corresponding letters together. For example, if you think points a, b, and c have zero electric fields, enter 'abc'. **Input Box:** - `Answer:` This exercise will test your understanding of electric field principles and your skill in calculating field vectors.
## Transcription for Educational Website

---

### Problem 7:
**Context:**
In the previous setup, if the particles are positively charged, which of the labeled points have electric fields that are directed rightwards? Choose all that apply by entering a string of letters (e.g., "XYZ" if you believe X, Y, and Z are true).

**Input for Answer:**
[Text Box]

---

### Problem 8:
**Description:**
The image below shows two charged particles on a line. The blue particle has four times the charge of the red particle. All of the separations between the particles and labeled points are equal. Which of the labeled points has zero electric field? Select only one option.

**Visual Details:**
- A line with two particles and four labeled points.
- The red particle and the blue particle are placed on this line.
- Points (a) and (b) are on the left side of the red particle.
- Points (c) and (d) are between the red and blue particles.
- Points (e) and (f) are on the right side of the blue particle.

**Input for Answer:**
[Text Box]

---

### Problem 9:
**Context:**
Suppose now that the blue particle has 1 unit of negative charge and the red particle has 1 unit of positive charge. Which of the labeled points have electric field vectors that point rightwards? Choose all that apply by entering a string of letters (e.g., "XYZ" if you believe X, Y, and Z are true).

**Input for Answer:**
[Text Box]

---
Transcribed Image Text:## Transcription for Educational Website --- ### Problem 7: **Context:** In the previous setup, if the particles are positively charged, which of the labeled points have electric fields that are directed rightwards? Choose all that apply by entering a string of letters (e.g., "XYZ" if you believe X, Y, and Z are true). **Input for Answer:** [Text Box] --- ### Problem 8: **Description:** The image below shows two charged particles on a line. The blue particle has four times the charge of the red particle. All of the separations between the particles and labeled points are equal. Which of the labeled points has zero electric field? Select only one option. **Visual Details:** - A line with two particles and four labeled points. - The red particle and the blue particle are placed on this line. - Points (a) and (b) are on the left side of the red particle. - Points (c) and (d) are between the red and blue particles. - Points (e) and (f) are on the right side of the blue particle. **Input for Answer:** [Text Box] --- ### Problem 9: **Context:** Suppose now that the blue particle has 1 unit of negative charge and the red particle has 1 unit of positive charge. Which of the labeled points have electric field vectors that point rightwards? Choose all that apply by entering a string of letters (e.g., "XYZ" if you believe X, Y, and Z are true). **Input for Answer:** [Text Box] ---
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