Question

What is the magnetic field at the centre of a current-carrying loop?

Hint:

The magnetic field at the center of a current-carrying loop is proportional to the current and inversely proportional to the radius of the loop.

Answer 1

The magnetic field at the centre of a current-carrying circular loop grows directly with the current flowing through it and falls off inversely with the loop's radius, following \( B = \mu_0 I / (2R) \), where \( \mu_0 = 4\pi \times 10^{-7} \, \text{T·m/A} \) is a fixed constant of nature.