A segment of a charged wire of length l, charge density `lambda_(2)` and an infinitely long charged wire. Charge density `lambda_(1)`. Lie in a plate at right angles to each other. The separation between the wires is `r_(0)`. Determine the force of interction between the wires.

Explanation

To solve the problem of determining the force of interaction between a segment of a charged wire and an infinitely long charged wire, we can follow these steps:

### Step 1: Understand the Configuration
We have two wires:
- Wire 1: An infinitely long wire with charge density \( \lambda_1 \).
- Wire 2: A segment of length \( l \) with charge density \( \lambda_2 \), positioned perpendicular to Wire 1 at a distance \( r_0 \).

### Step 2: Calculate the Electric Field due to Wire 1
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