Derive an expression for the magnetic field at the site of the necleas in a hydrogen atom due to the circular motion of the electron Assume that the atom is in its ground state and the answer in lerms of fandmental constants

Explanation

To derive the expression for the magnetic field at the site of the nucleus in a hydrogen atom due to the circular motion of the electron, we will follow these steps:

### Step 1: Understand the Forces Acting on the Electron
The electron in a hydrogen atom moves in a circular orbit around the nucleus (proton). The centripetal force required to keep the electron in its circular path is provided by the electrostatic force of attraction between the positively charged proton and the negatively charged electron.

### Step 2: Write the Expression for Centripetal Force
The centripetal force \( F_c \) acting on the electron can be expressed as:
\[
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