A current loop of arbitrary shape lies in a uniform magnetic field B. show that the net magnetic force acting on the loop is zero.

Explanation

To show that the net magnetic force acting on a current loop of arbitrary shape in a uniform magnetic field \( \mathbf{B} \) is zero, we can follow these steps:

### Step 1: Understand the Magnetic Force on a Current Loop
The magnetic force \( \mathbf{F} \) acting on a current-carrying conductor in a magnetic field can be expressed as:
\[ \mathbf{F} = I \mathbf{L} \times \mathbf{B} \]
where:
...