Two very long (nearly infinitely long) wires run parallel to each other and perpendicular to the plane of the paper, as shown below. The linear charge density of wire 1 is ₁ = 5.12 and the linear charge density of wire 2 is λ₂ = 3.23 and the two wires are separated by a distance d₁ = 1.34 m. What is the electric field at point p located d₂ = 2.13 m away from the second wire? nC m

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**Problem Description:**

Two very long (nearly infinitely long) wires run parallel to each other and perpendicular to the plane of the paper, as shown below. 

- The linear charge density of wire 1 is \(\lambda_1 = 5.12 \, \frac{\text{nC}}{\text{m}}\).
- The linear charge density of wire 2 is \(\lambda_2 = 3.23 \, \frac{\text{nC}}{\text{m}}\).

The two wires are separated by a distance \(d_1 = 1.34 \, \text{m}\).

The task is to find the electric field at point \(p\), located \(d_2 = 2.13 \, \text{m}\) away from the second wire.

**Diagram Explanation:**

- Two circles represent the cross-sections of infinitely long wires with linear charge densities \(\lambda_1\) and \(\lambda_2\).
- The distance between the two wires is labeled \(d_1 = 1.34 \, \text{m}\).
- Point \(p\) is marked on a line extending from wire 2, at a distance \(d_2 = 2.13 \, \text{m}\) from the second wire.
Transcribed Image Text:**Problem Description:** Two very long (nearly infinitely long) wires run parallel to each other and perpendicular to the plane of the paper, as shown below. - The linear charge density of wire 1 is \(\lambda_1 = 5.12 \, \frac{\text{nC}}{\text{m}}\). - The linear charge density of wire 2 is \(\lambda_2 = 3.23 \, \frac{\text{nC}}{\text{m}}\). The two wires are separated by a distance \(d_1 = 1.34 \, \text{m}\). The task is to find the electric field at point \(p\), located \(d_2 = 2.13 \, \text{m}\) away from the second wire. **Diagram Explanation:** - Two circles represent the cross-sections of infinitely long wires with linear charge densities \(\lambda_1\) and \(\lambda_2\). - The distance between the two wires is labeled \(d_1 = 1.34 \, \text{m}\). - Point \(p\) is marked on a line extending from wire 2, at a distance \(d_2 = 2.13 \, \text{m}\) from the second wire.
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