tial energy of this system of c y (in Joules) of this system of

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**System of Charges and Electrostatic Potential Energy**

Four point charges are positioned at the corners of a square. The values of the charges and the configuration are as follows:

- \( q_1 = 3.07 \, \mu C \)
- \( q_2 = -1 \, \mu C \)
- \( q_3 = 0.81 \, \mu C \)
- \( q_4 = 2 \, \mu C \)

Each charge is placed at one corner of a square with side length \( s = 0.43 \, m \).

**Question:**
What is the electrostatic potential energy (in Joules) of this system of charges?

**Diagram Explanation:**

The diagram consists of a square with four charges at each corner, denoted as \( q_1, q_2, q_3, \) and \( q_4 \). The sides of the square are labeled as \( s \), representing the distance between each pair of adjacent charges. The positioning of the charges forms a closed loop or circuit, which is important for calculating the potential energy of the system due to interactions between every pair of charges. 

To find the electrostatic potential energy, the interactions between all pairs of charges should be considered, including both adjacent and diagonal interactions across the square.
Transcribed Image Text:**System of Charges and Electrostatic Potential Energy** Four point charges are positioned at the corners of a square. The values of the charges and the configuration are as follows: - \( q_1 = 3.07 \, \mu C \) - \( q_2 = -1 \, \mu C \) - \( q_3 = 0.81 \, \mu C \) - \( q_4 = 2 \, \mu C \) Each charge is placed at one corner of a square with side length \( s = 0.43 \, m \). **Question:** What is the electrostatic potential energy (in Joules) of this system of charges? **Diagram Explanation:** The diagram consists of a square with four charges at each corner, denoted as \( q_1, q_2, q_3, \) and \( q_4 \). The sides of the square are labeled as \( s \), representing the distance between each pair of adjacent charges. The positioning of the charges forms a closed loop or circuit, which is important for calculating the potential energy of the system due to interactions between every pair of charges. To find the electrostatic potential energy, the interactions between all pairs of charges should be considered, including both adjacent and diagonal interactions across the square.
Expert Solution
Step 1: Given and Required

Four point charges,

           q subscript 1 space equals space 3.07 space mu C

q subscript 2 space equals space minus 1 space mu C

q subscript 3 space equals space 0.81 space mu C

q subscript 4 space equals space 2 space mu C

located at corner of square of side,

          s space equals space 0.43 space m

We need to find the electrostatic potential energy of the system in joules.

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