The magnetic field 0.02 m from a wire is 0.1 t. what is the magnitude of the magnetic field 0.01 m from the same wire?

The magnetic field is inversely proportional to the square of the distance from the wire. If we let k be the constant of proportionality, the equation for the magnetic field can be expressed as

M = k/d²

Using the first set of values

0.1 t = k / (0.02) ²; k = 4x10⁻⁵

Using this value for the next set,

M = 4x10⁻⁵ / (0.01²)

M = 0.4t

Thus, the magnetic field 0.01 m away from the wire is equal to 0.4t.