Magnetic Field Due To A Current Element

The magnetic field at the center of a circular coil with turns, each of radius , carrying a current , is given by the formula: where:
- is the permeability of free space ,
- is the number of turns in the coil,
- is the current in the coil,
- is the radius of the coil. Given:
- ,
- ,
- . Substitute the values into the formula: Thus, the magnitude of the magnetic field at the center of the coil is . For the direction, using the right
-hand rule for a coil with a clockwise current, the magnetic field will be directed downward at the center of the coil.