Exploring Biot-Savart's Law

What is the Biot-Savart Law used for in physics?

• To determine the speed of light in a vacuum.

• To calculate the electric field around charged particles.

• The Biot-Savart Law is used to calculate the magnetic field generated by electric currents.

• To analyze the motion of planets in orbit.

How do you calculate the magnetic field due to a straight current-carrying wire using Biot-Savart Law?

• B = (I * r) / (2πμ₀)

• B = (μ₀/4π) * (I * dl × r̂) / r²

• B = (μ₀/2) * (I * dl) / r

• B = (μ₀/4) * (I * r̂) / r²

What is the formula for the magnetic field at a point due to a small segment of current-carrying wire?

• B = (μ₀/4π) * (I * dl × r̂) / r²

• B = (μ₀/4π) * (I * dl × r) / r

• B = (μ₀/2) * (I * dl) / r

• B = (μ₀/4π) * (I * r̂) / r²

Explain how the direction of the magnetic field is determined using the right-hand rule in Biot-Savart Law.

• Using the left hand to determine the direction of the magnetic field by extending fingers in the opposite direction of current.

• The direction of the magnetic field is determined by pointing the right thumb in the direction of current and curling fingers around the wire.

• Pointing the left thumb in the direction of current and curling fingers away from the wire.

• Curling fingers in the direction of current and pointing the thumb towards the wire.

What is the significance of the constant 'μ0' in the Biot-Savart Law?

• The constant 'μ0' signifies the permeability of free space in the Biot-Savart Law.

• The constant 'μ0' indicates the resistance of a material to magnetic fields.

• The constant 'μ0' represents the speed of light in a vacuum.

• The constant 'μ0' is the charge of an electron in the Biot-Savart Law.

How does the magnetic field vary with distance from a long straight wire according to Biot-Savart Law?

• The magnetic field varies inversely with distance from the wire.

• The magnetic field varies directly with the square of the distance from the wire.

• The magnetic field is constant regardless of distance.

• The magnetic field increases with distance from the wire.

What are some practical applications of the Biot-Savart Law in engineering?

• Calculating fluid dynamics in pipelines

• Applications include designing inductors, transformers, magnetic sensors, and analyzing magnetic fields in motors and generators.

• Designing solar panels

• Optimizing thermal insulation materials

How can Biot-Savart Law be applied to calculate the magnetic field of a circular loop of wire?

• The magnetic field of a circular loop is B = (μ0 * I) / (R).

• The magnetic field at the center of a circular loop is zero.

• The magnetic field at any point on the loop is uniform and equal to B = (μ0 * I) / (4 * π * R).

• The magnetic field at the center of a circular loop of radius R carrying current I is B = (μ0 * I) / (2 * R).

What is the effect of increasing the current on the magnetic field produced by a wire?

• The magnetic field becomes unstable.

• The magnetic field remains unchanged.

• The magnetic field strength decreases.

• The magnetic field strength increases.

Describe a scenario where Biot-Savart Law is used in magnetic field mapping.

• Mapping the magnetic field around a current-carrying wire using the Biot-Savart Law.

• Mapping the temperature distribution in a conductor using Biot-Savart Law.

• Determining the gravitational field around a planet using Biot-Savart Law.

• Calculating the electric field around a charged plate using Biot-Savart Law.