evean9281 evean9281

25-08-2022
Physics

Answered

A circular wire loop has a radius of 3.0 mm. if the magnetic field at the center of the loop is 1.4 mt, what is the magnitude of the current that flows through the wire?

Answer :

tutorconsortium345 tutorconsortium345

05-09-2022

The magnitude of the current that flows through the wire is 5.3 amp.

Define magnetic field.

The region surrounding a magnet that experiences the effects of magnetism is known as the magnetic field. When describing the distribution of the magnetic force within and around a magnetic object in nature, the magnetic field is a useful tool. A magnetic field is a vector field that surrounds a magnet, an electric current, or a shifting electric field and contains magnetic forces that can be seen. Moving electric charges and the intrinsic magnetic moments of elementary particles, which are connected to a fundamental quantum feature called spin, create a magnetic field. Both the magnetic field and the electric field are parts of the electromagnetic force, one of the four fundamental forces of nature, and they are interdependent.

According to the question:

Radius of circular loop, r = 3 mm = 0.003 m

Magnetic field strength, B = 1.1 mT = 0.0011 T

We need to find the magnitude of the current that flows through the wire. The magnetic field for a current carrying wire is given by :

I = 2Br / μ₀

I = 2×0.0011×0.003 / 4π×10⁻⁷

I = 5.3amp

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