Question

State Bio-Savart's law and define unit electric current on the basis of it.​

Answer 1

Answer:

Biot-Savart’s law is an equation that gives the magnetic field produced due to a current carrying segment. This segment is taken as a vector quantity known as the current element.

In SI units k is equal to μ0/(4π)—the magnetic constant μ0 divided by 4π—and μ0 = 4π ×10−7 N/A2 (newton over ampere squared).

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Answer 2

Concept introduction:

According to the Biot-Savart law, the magnetic field generated by a small current element at any given position is proportional to its length, current, and the sine of the angle formed by the current direction and the line connecting the current element.

Explanation:

Given that, Biot-Savart's law.

We have to find, unit electric current on the basis of Bio-Savart's law.

According to the question,

According to the Biot-Savart law, the magnetic field generated by a small current element at any given position is proportional to its length, current, and the sine of the angle formed by the current direction and the line connecting the current element.

A conductor of length $1 m$ positioned in the shape of an arc of a circle with a radius of $1 m$ will create a field of $107Wb/m^2$ at its center if the conductor is operating at one ampere of current.

Final Answer:

A conductor of length $1 m$ positioned in the shape of an arc of a circle with a radius of $1 m$ will create a field of $107Wb/m^2$ at its center if the conductor is operating at one ampere of current.

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