Biot-Savart Law: Magnetic Field Calculation

What is the direction of the magnetic field created by a current element?

What is the similarity between Biot-Savart law and Coulomb’s Law?

What is the direction of rotation of the thumb in Maxwell’s cork screw rule?

What is the unit of the quantity dB in the Biot-Savart law?

What is the physical quantity represented by the symbol q in Coulomb’s Law?

What is the expression for the magnetic field dB in the Biot-Savart law?

What is the physical quantity represented by the symbol E in the diagram?

What is the direction of the electric field created by a point charge?

What is the constant of proportionality in Coulomb’s Law?

What is the physical quantity represented by the symbol B in the diagram?

Biot-Savart Law

Magnetic field at point 'P' due to a current element 'i dl' is given by the expression: dB = μ₀ i dl sin θ / 4π r²
In C.G.S. units, k = 1, so dB = i dl sin θ / r² Gauss
In S.I. units, k = μ₀ / 4π, so dB = μ₀ i dl sin θ / 4π r² Tesla
μ₀ is the absolute permeability of air or vacuum, approximately 4π × 10⁻⁷

Magnetic Field and Current

A magnetic field is established around a current-carrying conductor
Magnetic field exists as long as there is current in the wire
The direction of the magnetic field is reversed when the direction of current is reversed

Current Element

Current element is the product of current and length of an infinitesimal segment of a current-carrying wire
Current element is a vector quantity with the same direction as the current
Current element AB = i dl

Biot-Savart's Law and Coulomb's Law

Both laws relate to the inverse square of the distance from the source
The current element produces a magnetic field, while a point charge produces an electric field
The magnetic field created by a current element is perpendicular to both the length element dl and the unit vector r̂

Direction of Magnetic Field

Determined using Maxwell's cork screw rule
If a right-handed screw is placed along the current-carrying linear conductor and rotated in the direction of current flow, the direction of rotation of the thumb gives the direction of magnetic lines of force

This quiz is about the Biot-Savart Law, which relates to the magnetic field at a point due to a current element. It involves calculating the magnetic field using formulas.