Question

The magnetic field produced by a long straight current-carrying wire is

inversely proportional to the current in the wire and proportional to the distance from the wire.
proportional to the current in the wire and inversely proportional to the distance from the wire.
inversely proportional to both the current in the wire and the distance from the wire.
independent of both the current in the wire and the distance from the wire.
proportional to both the current in the wire and the distance from the wire.

Answer 1

proportional to the current in the wire and inversely proportional to the distance from the wire.

Step-by-step explanation:

The magnetic field produced by a long, straight current-carrying wire is given by:

`B=(\mu_0 I)/(2 \pi r)`

where

`\mu_0` is the vacuum permeability

I is the current intensity in the wire

r is the distance from the wire

From the formula, we notice that:

- The magnitude of the magnetic field is directly proportional to I, the current

- The magnitude of the magnetic field is inversely proportional to the distance from the wire, r

Therefore, correct option is

proportional to the current in the wire and inversely proportional to the distance from the wire.