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**1. Homework Statement**

This is a question me and my friend were wondering about. How can one calculate the magnetic field due to a current carrying loop at a point in the area enclosed by the loop.

For example, at point P as shown in the attached figure.

**2. Homework Equations**

$$B = \frac{\mu_{0}I[sin\theta_{1}-sin\theta_{2}]}{4\pi(r)}$$

**3. The Attempt at a Solution**

I feel there are just too many variables to arrive at a solution. Even if we consider it for a point at a fixed distance $x from the center, then too the distance to the loop changes as we integrate. However, I have a feeling that analogous to the shell theorem for gravitation/electrostatics, the field should be the same at every point within the area but I can't prove it.