The mag. field due to a current carrying circular Loop of radius 3 cm at a point on the axis at

step 1 Okay, the question is the magnetic field due to current carrying circular loop of radius 3 cm. S

The mag. field due to a current carrying circular Loop of...

The mag. field due to a current carrying circular Loop of radius $3 \mathrm{~cm}$ at a point on the axis at a distance of $4 \mathrm{~cm}$ from the centre is $54 \mu \mathrm{T}$ what will be its value at the centre of the LOOP. (a) $250 \mu \mathrm{T}$ (b) $150 \mu \mathrm{T}$ (c) $125 \mu \mathrm{T}$ (d) $75 \mu \mathrm{T}$

The mag. field due to a current carrying circular Loop of radius $3 \mathrm{~cm}$ at a point on the axis at a distance of $4 \mathrm{~cm}$ from the centre is $54 \mu \mathrm{T}$ what will be its value at the centre of the LOOP.
(a) $250 \mu \mathrm{T}$
(b) $150 \mu \mathrm{T}$
(c) $125 \mu \mathrm{T}$
(d) $75 \mu \mathrm{T}$

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Key Concepts

Magnetic Field from a Current Loop

This concept pertains to calculating the magnetic field created by a steady current flowing through a circular loop. The field is derived by considering the contributions of all the infinitesimal current segments and is most conveniently computed using integral methods. The resulting field has different expressions depending on the position: at the center of the loop versus along its axis.

Biot-Savart Law

The Biot-Savart Law allows for the computation of the magnetic field generated by a small segment of current. By integrating over the entire loop, it provides the full expression for the magnetic field at any point in space. This law is foundational in electromagnetism and is used to derive both the on-axis and central magnetic field expressions for current loops.

Axial and Central Magnetic Field Expressions

For a circular loop, the magnetic field along the axis can be described by a specific formula that depends on the distance from the center and the radius of the loop. At the center, the magnetic field has a simplified form because the distance term in the general expression becomes zero. Understanding the relation between these expressions allows one to determine the field at the center when the field at any point on the axis is known.

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