Two identical coils carrying same current have common centre but have their planes at right angles to each other. If the field due to each is B, what is the resultant field?

Explanation

To solve the problem of finding the resultant magnetic field due to two identical coils carrying the same current and positioned at right angles to each other, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Configuration**:
- We have two identical coils, both carrying the same current (let's denote it as \( I \)).
- The coils are positioned such that their planes are perpendicular (at right angles) to each other, and they share a common center.

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