Question

The magnetic field due to a long straight wire carrying current varies as _as the distance

Answer 1

Answer:

answer in attachment

Answer 2

Answer:

The magnetic field due to a long straight wire carrying current depends inversely on the distance from it. Also it depends directly on the current flowing through the straight wire.

Explanation:

• In simple terms, magnetic field is a region around a magnetic material in which, magnetic forces are observable.
• The magnetic field due to a straight wire carrying current is given by a formula:

                      B=μ($\frac{I}{2\pi r}$)

                      B∝$\frac{1}{r}$

• The S.I unit for magnetic field is Tesla.

Step 1:

The ampere's law enables us an easy way to determine the magnetic field when there is a system with symmetry such as a straight long current carrying wire.

According to the ampere's circuital law, the magnetic field at a distance 'r' from the straight current carrying conductor is given by:

                               B=μ($\frac{I}{2\pi r}$)

                               B∝$\frac{1}{r}$    where,

'B' is the magnetic field.

'I' is the current flowing through the conductor.

'μ' is permeability of free space.

'r' is the distance from the conductor.