Question

If a wire of length 4 meters is carrying a current of 2A, calculate the magnetic field strength at a distance of 3 meters from the wire.

A) 3.14×10^ −7T
B) 6.28×10 ^−7T
C) 9.42×10 ^-7T
D) 1.57×10 ^−6T

Answer 1

The magnetic field strength at a distance of 3 meters from the wire carrying a current of 2A is approximately 4×10-7T.

Step-by-step explanation:

To calculate the magnetic field strength at a distance of 3 meters from the wire, we can use Ampere's Law. Ampere's Law states that the magnetic field created by a current-carrying wire is directly proportional to the current and inversely proportional to the distance from the wire.

B = μ0 * (I / 2π * r)

where B is the magnetic field, μ0 is the permeability of free space (approximately 4π×10-7 Tm/A), I is the current, and r is the distance from the wire.

Plugging in the values, we get:

B = (4π×10-7 * 2A) / (2π * 3m) = 4×10-7T.

Therefore, the magnetic field strength at a distance of 3 meters from the wire is approximately 4×10-7T.