A rod CD of length b carrying a current l, is placed in a magnetic field due to a thin log wire AB carrying currrent I as shown in fig. Then find the net force experienced by the wire

Explanation

To find the net force experienced by the rod CD carrying a current \( I_2 \) in the magnetic field created by the long wire AB carrying a current \( I_1 \), we will follow these steps:

### Step 1: Understand the Setup
We have a thin long wire AB carrying a current \( I_1 \). A rod CD of length \( b \) carrying a current \( I_2 \) is placed parallel to the wire at a distance \( A \) from one end of the rod.

### Step 2: Magnetic Field due to the Long Wire
The magnetic field \( B \) at a distance \( X \) from a long straight wire carrying current \( I_1 \) is given by the formula:
\[
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