In the figure seven charged particles are fixed in place to form a square with an edge length of 9.2 cm. How much work must we do to bring a particle of charge +2e initially at rest from an infinite distance to the center of the square? Number i Units +2e +3e -2e +3e -Se te < x

Physics for Scientists and Engineers
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Chapter24: Electric Potential
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**Bringing a Particle of Charge to the Center of a Charged Square**

In this problem, we have a configuration of seven charged particles fixed to form a square with an edge length of 9.2 cm. The task is to determine the work required to bring a particle of charge +2e from rest at an infinite distance to the center of the square.

**Graph Explanation:**
The figure shows a 2D coordinate system (x-y plane) where seven charged particles are placed as follows:
- At the bottom-left corner of the square: charge +3e
- At the top-left corner of the square: charge +2e
- At the middle-left side of the square: charge +e
- At the center of the top side: charge -2e
- At the center of the bottom side: charge +3e
- At the middle-right side of the square: charge -3e
- At the top-right corner of the square: charge -e

**Calculations:**
To solve for the work done, one would calculate the electric potential at the center of the square due to all seven charges and then multiply this potential by the charge of the particle being brought in (+2e).

**Input Fields for Solution:**
To compute this on the educational website, use the input fields:
1. Number (for the numerical answer)
2. Units (for the unit of work, e.g., joules)

**Your Answer:**
- Number: [input field]
- Units: [input field]

Now, you can proceed to calculate the required work using principles from electrostatics and input the result accordingly.
Transcribed Image Text:**Bringing a Particle of Charge to the Center of a Charged Square** In this problem, we have a configuration of seven charged particles fixed to form a square with an edge length of 9.2 cm. The task is to determine the work required to bring a particle of charge +2e from rest at an infinite distance to the center of the square. **Graph Explanation:** The figure shows a 2D coordinate system (x-y plane) where seven charged particles are placed as follows: - At the bottom-left corner of the square: charge +3e - At the top-left corner of the square: charge +2e - At the middle-left side of the square: charge +e - At the center of the top side: charge -2e - At the center of the bottom side: charge +3e - At the middle-right side of the square: charge -3e - At the top-right corner of the square: charge -e **Calculations:** To solve for the work done, one would calculate the electric potential at the center of the square due to all seven charges and then multiply this potential by the charge of the particle being brought in (+2e). **Input Fields for Solution:** To compute this on the educational website, use the input fields: 1. Number (for the numerical answer) 2. Units (for the unit of work, e.g., joules) **Your Answer:** - Number: [input field] - Units: [input field] Now, you can proceed to calculate the required work using principles from electrostatics and input the result accordingly.
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