The three charged particles in the figure below are at the vertices of an isosceles triangle (where d = 3.80 cm). Taking q = 8.80 µC,  calculate the electric potential at point A, the midpoint of the base.

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The three charged particles in the figure below are at the vertices of an isosceles triangle (where d = 3.80 cm). Taking q = 8.80 µC,

 calculate the electric potential at point A, the midpoint of the base.

 

The provided diagram illustrates the positions of three point charges and their relationships. Here is a detailed explanation suitable for an educational website:

---

### Diagram of Point Charges and Their Configuration

This diagram shows the arrangement of three point charges and their respective distances. The key features of the diagram are described below:

1. **Point Charges**:
   - There are three point charges: one positive charge \( +q \) (represented in orange) and two negative charges \( -q \) (represented in blue).
   - The positive charge \( +q \) is positioned above the two negative charges.

2. **Distances**:
   - The distance between the two negative charges \( -q \) is labeled as \( d \). These two charges are placed horizontally.
   - Point \( A \) is marked as the midpoint between the two negative charges.
   - The distance from the positive charge \( +q \) to each of the negative charges \( -q \) is labeled as \( 2d \).

3. **Diagram Elements**:
   - The positive charge \( +q \) is connected with lines to both of the negative charges, forming an isosceles triangle with the two negative charges at the base.
   - The perpendicular distance from the positive charge to the midpoint \( A \) of the line segment joining the negative charges is \( 2d \).

By understanding the relationships and distances between these point charges, students can explore concepts such as Coulomb's law, electric field, potential energy, and force interactions in electrostatics.

---
Transcribed Image Text:The provided diagram illustrates the positions of three point charges and their relationships. Here is a detailed explanation suitable for an educational website: --- ### Diagram of Point Charges and Their Configuration This diagram shows the arrangement of three point charges and their respective distances. The key features of the diagram are described below: 1. **Point Charges**: - There are three point charges: one positive charge \( +q \) (represented in orange) and two negative charges \( -q \) (represented in blue). - The positive charge \( +q \) is positioned above the two negative charges. 2. **Distances**: - The distance between the two negative charges \( -q \) is labeled as \( d \). These two charges are placed horizontally. - Point \( A \) is marked as the midpoint between the two negative charges. - The distance from the positive charge \( +q \) to each of the negative charges \( -q \) is labeled as \( 2d \). 3. **Diagram Elements**: - The positive charge \( +q \) is connected with lines to both of the negative charges, forming an isosceles triangle with the two negative charges at the base. - The perpendicular distance from the positive charge to the midpoint \( A \) of the line segment joining the negative charges is \( 2d \). By understanding the relationships and distances between these point charges, students can explore concepts such as Coulomb's law, electric field, potential energy, and force interactions in electrostatics. ---
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