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Comework 1.Electric Charge and Field The Electric Field at a Point Due to Two Point Charges Apoint charge -4.00 uC at the point-0.600 meters -0.00 met, and a second poient charge the pont-0.600 meters, y-0 +6.00 Cs at • Part A Calulate the magntude of the net electric feld at the origin due to these bwo point charge Express your answer in newtons per coutomb to three significant figures Vew Avalable Hn .. O a ? E 185.82 N/C Submit X Incorrect Try Again: 5 attempts remaining

Comework 1.Electric Charge and Field The Electric Field at a Point Due to Two Point Charges Apoint charge -4.00 uC at the point-0.600 meters -0.00 met, and a second poient charge the pont-0.600 meters, y-0 +6.00 Cs at • Part A Calulate the magntude of the net electric feld at the origin due to these bwo point charge Express your answer in newtons per coutomb to three significant figures Vew Avalable Hn .. O a ? E 185.82 N/C Submit X Incorrect Try Again: 5 attempts remaining

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### Homework 1: Electric Charge and Field ## The Electric Field at a Point Due to Two Point Charges A point charge \( q_1 = -4.00 \,\mu \text{C} \) is at the point \( x = 0.600 \) meters, \( y = 0.800 \) meters, and a second point charge \( q_2 = +6.00 \,\mu \text{C} \) is at the point \( x = -0.600 \) meters, \( y = 0 \). ### Part A Calculate the magnitude \(E\) of the net electric field at the origin due to these two point charges. Express your answer in newtons per coulomb to three significant figures. **Hint:** (View available hints if provided by the educational platform) **Input field:** \[ E = \] \[ 185.82 \, \text{N/C} \] **Submission:** [Submit] **Note:** Incorrect; Try Again; 5 attempts remaining. ### Part B What is the direction, relative to the negative x-axis, of the net electric field at the origin due to these two point charges? Express your answer in degrees to three significant figures. **Hint:** (View available hints if provided by the educational platform) **Input field:** [Submit] --- In summary, ensure that you calculate the net electric field for Part A using the formula for the electric field due to a point charge, and then sum the vector fields considering their direction. For Part B, compute the direction using trigonometric functions to find the resultant angle relative to the negative x-axis. The visual content related setup involves point charges placed at specific coordinates and their resulting field at the origin, further calculations are required for the direction and magnitude of the electric field.
Transcribed Image Text:### Homework 1: Electric Charge and Field ## The Electric Field at a Point Due to Two Point Charges A point charge \( q_1 = -4.00 \,\mu \text{C} \) is at the point \( x = 0.600 \) meters, \( y = 0.800 \) meters, and a second point charge \( q_2 = +6.00 \,\mu \text{C} \) is at the point \( x = -0.600 \) meters, \( y = 0 \). ### Part A Calculate the magnitude \(E\) of the net electric field at the origin due to these two point charges. Express your answer in newtons per coulomb to three significant figures. **Hint:** (View available hints if provided by the educational platform) **Input field:** \[ E = \] \[ 185.82 \, \text{N/C} \] **Submission:** [Submit] **Note:** Incorrect; Try Again; 5 attempts remaining. ### Part B What is the direction, relative to the negative x-axis, of the net electric field at the origin due to these two point charges? Express your answer in degrees to three significant figures. **Hint:** (View available hints if provided by the educational platform) **Input field:** [Submit] --- In summary, ensure that you calculate the net electric field for Part A using the formula for the electric field due to a point charge, and then sum the vector fields considering their direction. For Part B, compute the direction using trigonometric functions to find the resultant angle relative to the negative x-axis. The visual content related setup involves point charges placed at specific coordinates and their resulting field at the origin, further calculations are required for the direction and magnitude of the electric field.
### Educational Website Content: Electric Fields and Point Charges #### Problem Statement **Part B** What is the direction, relative to the negative x-axis, of the net electric field at the origin due to these two point charges? Express your answer in degrees to three significant figures. **Provided Response** The response recorded is: ``` 76.5 degrees ``` up from the negative x-axis. --- ### Solution Attempt - The user entered the answer 76.5 degrees. - This attempt was marked **incorrect**. - There are **5 attempts remaining** to solve this problem correctly. --- ### Interface Details - The interface presents an input box where students can type their answer. - A `Submit` button is available to check the answer. - A link to `View Available Hint(s)` is provided, encouraging students to seek additional help if they are unsure about their answer. **Note:** Students are encouraged to express their angles accurately to three significant figures and review the vector components of the electric field contributed by each point charge carefully to determine the net direction angle. ##### Graphs/Diagrams While this particular screenshot does not include any visual graphs or diagrams, typically such problems may involve: 1. **Vector Diagrams**: Showing the direction and magnitude of electric fields produced by individual point charges. 2. **Coordinate System**: Illustrating the origin (0,0) and the directions relative to the x-axis (positive and negative). Students are reminded to reference any available diagrams or sketches as they help visualize the problem for better understanding and solving. #### Tips for Solving - Ensure calculations consider the electric field contributions from each charge. - Use trigonometric functions to resolve the net direction. - Double-check that the angle is measured correctly relative to the negative x-axis. --- Feel free to use available hints and refer to foundational materials on electric fields and vector addition to assist in resolving the problem.
Transcribed Image Text:### Educational Website Content: Electric Fields and Point Charges #### Problem Statement **Part B** What is the direction, relative to the negative x-axis, of the net electric field at the origin due to these two point charges? Express your answer in degrees to three significant figures. **Provided Response** The response recorded is: ``` 76.5 degrees ``` up from the negative x-axis. --- ### Solution Attempt - The user entered the answer 76.5 degrees. - This attempt was marked **incorrect**. - There are **5 attempts remaining** to solve this problem correctly. --- ### Interface Details - The interface presents an input box where students can type their answer. - A `Submit` button is available to check the answer. - A link to `View Available Hint(s)` is provided, encouraging students to seek additional help if they are unsure about their answer. **Note:** Students are encouraged to express their angles accurately to three significant figures and review the vector components of the electric field contributed by each point charge carefully to determine the net direction angle. ##### Graphs/Diagrams While this particular screenshot does not include any visual graphs or diagrams, typically such problems may involve: 1. **Vector Diagrams**: Showing the direction and magnitude of electric fields produced by individual point charges. 2. **Coordinate System**: Illustrating the origin (0,0) and the directions relative to the x-axis (positive and negative). Students are reminded to reference any available diagrams or sketches as they help visualize the problem for better understanding and solving. #### Tips for Solving - Ensure calculations consider the electric field contributions from each charge. - Use trigonometric functions to resolve the net direction. - Double-check that the angle is measured correctly relative to the negative x-axis. --- Feel free to use available hints and refer to foundational materials on electric fields and vector addition to assist in resolving the problem.
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