Two similar current loops are placed with their planes mutually perpendicular and centres of both loop lie on the origin. Find the ratio of resultant magnetic field at common centre to the individual magnetic field at common centre.

Explanation

To solve the problem of finding the ratio of the resultant magnetic field at the common center of two mutually perpendicular current loops to the individual magnetic field at that center, we can follow these steps:

### Step 1: Understand the Configuration
We have two similar current loops placed at the origin with their planes mutually perpendicular. Let’s denote:
- Loop 1 is in the XY-plane (current flowing in a circular manner).
- Loop 2 is in the YZ-plane (current flowing in a circular manner).

### Step 2: Determine the Magnetic Field Due to Each Loop
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