A circular loop of radius r carrying a current i is held at the centre of another circular loop of radius R(>> r) carrying a current I. The plane of the smaller loop makes an angle of `30^@` with that of the larger loop. It the smaller loop is held fixed in this position by applying a single force at a point on its periphery, what would be the minimum magnitude of this force?

Explanation

To solve the problem, we need to find the minimum force required to keep a smaller circular loop fixed in the presence of a magnetic field produced by a larger circular loop. Here’s a step-by-step solution:

### Step 1: Understand the Configuration
We have two circular loops:
- A smaller loop of radius \( r \) carrying a current \( i \).
- A larger loop of radius \( R \) (where \( R \gg r \)) carrying a current \( I \).
The plane of the smaller loop makes an angle of \( 30^\circ \) with the plane of the larger loop.

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