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Question

Number 12-gauge wire, commonly used in household wiring, is 2.053 mm in can mm in diameter and safely carry currents of up to 20.0 A. If a wire is carrying this maximu magnetic field strength produced by this wire at the following distances? ent, what is the m curr

a) 0.30 mm from the wire’s axis. (2)

b) at the wire’s surface (2)

c) 0.75 mm beyond the wire’s surface (2)

Answer “Number 12-gauge wire, commonly used in household wiring, is 2.053 mm in can mm in diameter and safely carry currents of up to 20.0 A”.

Ampere’s Law:

Ampere’s law, a mathematical expression that determines magnetic field due to current-carrying conductor, is called Ampere’s law. The line integral of magnetic fields around closed paths is proportional to the current in that path. This is used to measure magnetic field caused by long wire. This is Ampere’s Law:

Where H is magnetic field, µ₀ is vacuum permeability. I_enclosed is current in closed path.

Answer:

We have: d = 2,053mm, R = 1,0265 x 10^-3m, I = 20.0A,

So we have the final result:

a, B = 5,69 x 10^-4 T

b, B = 3,90 x 10^-3 T

c, B = 2,85 x 10^-3 T

Last words

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