**Title: Analyzing Electric Forces on Charge Configurations****Diagram Explanation:**This diagram represents a system of three point charges placed in a Cartesian coordinate system. The points are labeled with their positions (coordinates in meters) and their charge values in microcoulombs (µC):1. **Charge $ q_1 = +3.5 \, \mu\text{C} $** is located at $(0 \, \text{m}, 0.4 \, \text{m})$.2. **Charge $ q_2 = -2.5 \, \mu\text{C} $** is located at $(0 \, \text{m}, -0.4 \, \text{m})$.3. **Charge $ q_3 = +3.0 \, \mu\text{C} $** is located at $(0.50 \, \text{m}, 0 \, \text{m})$.**Tasks:**1. **Calculate the Magnitude of the Electric Force on Charge #3 due to Charge #1 $(\vec{F}_{31})$:** Determine the force exerted by $ q_1 $ on $ q_3 $.2. **Calculate the Magnitude of the Electric Force on Charge #3 due to Charge #2 $(\vec{F}_{32})$:** Find the force exerted by $ q_2 $ on $ q_3 $.3. **Calculate the Magnitude of the Net Electric Force on Charge #3 $(\vec{F}_{3,\text{net}})$:** Combine the forces from $ q_1 $ and $ q_2 $ to find the net force on $ q_3 $.4. **Calculate the Net Angle $(\theta_{\text{net}})$ for the Net Electric Force on $ q_3 $:** Ensure the calculator is set to degree mode for this calculation.These calculations require the application of Coulomb's Law and vector addition principles to find the magnitudes and directions of the forces involved.

Answered: Image /qna-images/answer/c4d08c47-4417-4934-8dc6-c3be0934161d.jpg

(0 m, 0.4 m) (0 m, -0.4 m) 9₁ = +3.5 µC 92 = -2.5 µC q3 = +3.0 μC (0.50 m, 0 m) Calculated the magnitude of the Electric Force (N) on charge #3 due to charge #1 (i.e., F₁₁). Calculated the magnitude of the Electric Force {N} on charge #3 due to charge #2 (i.e., F3₂). Calculate the magnitude of the Net Electric Force {N} on charge #3 (i.e., F3.net). Calculate the Net Angle (i.e., @net) for the Net Electric Force on 93. Be sure your calculator is in Degree mode.

(0 m, 0.4 m) (0 m, -0.4 m) 9₁ = +3.5 µC 92 = -2.5 µC q3 = +3.0 μC (0.50 m, 0 m) Calculated the magnitude of the Electric Force (N) on charge #3 due to charge #1 (i.e., F₁₁). Calculated the magnitude of the Electric Force {N} on charge #3 due to charge #2 (i.e., F3₂). Calculate the magnitude of the Net Electric Force {N} on charge #3 (i.e., F3.net). Calculate the Net Angle (i.e., @net) for the Net Electric Force on 93. Be sure your calculator is in Degree mode.

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

**Title: Analyzing Electric Forces on Charge Configurations**

**Diagram Explanation:**

This diagram represents a system of three point charges placed in a Cartesian coordinate system. The points are labeled with their positions (coordinates in meters) and their charge values in microcoulombs (µC):

1. **Charge $ q_1 = +3.5 \, \mu\text{C} $** is located at $(0 \, \text{m}, 0.4 \, \text{m})$.
2. **Charge $ q_2 = -2.5 \, \mu\text{C} $** is located at $(0 \, \text{m}, -0.4 \, \text{m})$.
3. **Charge $ q_3 = +3.0 \, \mu\text{C} $** is located at $(0.50 \, \text{m}, 0 \, \text{m})$.

**Tasks:**

1. **Calculate the Magnitude of the Electric Force on Charge #3 due to Charge #1 $(\vec{F}_{31})$:**
Determine the force exerted by $ q_1 $ on $ q_3 $.

2. **Calculate the Magnitude of the Electric Force on Charge #3 due to Charge #2 $(\vec{F}_{32})$:**
Find the force exerted by $ q_2 $ on $ q_3 $.

3. **Calculate the Magnitude of the Net Electric Force on Charge #3 $(\vec{F}_{3,\text{net}})$:**
Combine the forces from $ q_1 $ and $ q_2 $ to find the net force on $ q_3 $.

4. **Calculate the Net Angle $(\theta_{\text{net}})$ for the Net Electric Force on $ q_3 $:**
Ensure the calculator is set to degree mode for this calculation.

These calculations require the application of Coulomb's Law and vector addition principles to find the magnitudes and directions of the forces involved.

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