2. Four charges are situated on the axes as shown below. Each charge is 1 m from the origin and point P is also 1 m from the origin. If |Q| is 1 C, calculate the potential at point P.

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Chapter1: Units, Trigonometry. And Vectors
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please explain how todo this

**Problem Statement:**

2. Four charges are situated on the axes as shown below. Each charge is 1 m from the origin and point \( P \) is also 1 m from the origin.

*Diagram Description:*

The diagram features a coordinate system with three axes labeled as \( x \), \( y \), and \( z \). The origin is marked as \( O \). Four charges are placed symmetrically around the origin:

- A positive charge \( +Q \) is on the positive \( x \)-axis.
- A negative charge \( -Q \) is on the positive \( y \)-axis.
- A positive charge \( +Q \) is on the negative \( y \)-axis.
- A negative charge \( -Q \) is on the negative \( x \)-axis.

Point \( P \) is located on the positive \( z \)-axis, at a distance of 1 m from the origin.

**Task:**

If \(|Q|\) is 1 C, calculate the potential at point \( P \).

---

This problem involves using the principle of superposition to find the electric potential at point \( P \) due to the configuration of charges.
Transcribed Image Text:**Problem Statement:** 2. Four charges are situated on the axes as shown below. Each charge is 1 m from the origin and point \( P \) is also 1 m from the origin. *Diagram Description:* The diagram features a coordinate system with three axes labeled as \( x \), \( y \), and \( z \). The origin is marked as \( O \). Four charges are placed symmetrically around the origin: - A positive charge \( +Q \) is on the positive \( x \)-axis. - A negative charge \( -Q \) is on the positive \( y \)-axis. - A positive charge \( +Q \) is on the negative \( y \)-axis. - A negative charge \( -Q \) is on the negative \( x \)-axis. Point \( P \) is located on the positive \( z \)-axis, at a distance of 1 m from the origin. **Task:** If \(|Q|\) is 1 C, calculate the potential at point \( P \). --- This problem involves using the principle of superposition to find the electric potential at point \( P \) due to the configuration of charges.
Expert Solution
Step 1

The distance from the point P to each charge is 2 m say r.

The potential is a scalar quantity.

the net potential is the sum of the potential of the individual charges at the point P.

 

 

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