A hypthetical magnetic field existing in a region is given by `vecB= B_0 vece_r,` where `vec_r` denotes the uit vector along the redial direction. A circular loop of radus a, carrying a current I, is placed with its plane parallel to the x-y plane and the centre at (0,0, d) .Find the magnitude of the magnetic force acting on the loop.

Explanation

To find the magnitude of the magnetic force acting on the circular loop in the given magnetic field, we can follow these steps:

### Step 1: Understand the Problem
We have a circular loop of radius \( a \) carrying a current \( I \) placed in a magnetic field given by \( \vec{B} = B_0 \hat{e}_r \), where \( \hat{e}_r \) is the unit vector in the radial direction. The loop is located at \( (0, 0, d) \) and lies in the x-y plane.

### Step 2: Identify the Force Formula
The magnetic force \( \vec{F} \) on a current-carrying wire in a magnetic field is given by:
\[
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