Ampère's Law

The video tutorial introduces Alpare's Law, comparing it to Gauss's Law, and explains its application in calculating the magnetic field around a current-carrying wire. The instructor provides a detailed explanation of Gauss's Law, followed by a comparison with Alpare's Law, highlighting their similarities and differences. An example is used to demonstrate the calculation of the magnetic field using Alpare's Law, emphasizing the use of the right-hand rule and the importance of choosing the correct direction for the infinitesimally small displacement. The tutorial concludes with a derivation of the magnetic field equation, showing how the field decreases with distance from the wire.

What is the main similarity between Alpare's Law and Gauss's Law?

• Both involve electric fields.

• Both use closed surface integrals.

• Both involve integrals over a closed path or surface.

• Both relate to the concept of flux.

In Alpare's Law, what does the closed loop integral of the magnetic field represent?

• The product of magnetic permeability and current inside the loop.

• The total magnetic flux through the loop.

• The electric field strength inside the loop.

• The total electric charge inside the loop.

What is the purpose of using an Amperian loop in Alpare's Law?

• To determine the direction of the electric field.

• To calculate the magnetic field around a current.

• To calculate electric flux.

• To measure electric charge.

How is the direction of the magnetic field determined around a current-carrying wire?

• By measuring the electric field.

• Using the left-hand rule.

• By calculating the electric flux.

• Using the right-hand rule.

What is the angle between the magnetic field and the displacement vector DS in the example discussed?

• 180°

• 0°

• 45°

• 90°

What is the formula derived for the magnetic field around an infinitely long straight wire?

• Magnetic flux times area divided by current.

• Magnetic permeability times current divided by 2π times distance.

• Electric field times distance divided by charge.

• Electric permittivity times charge divided by distance.

Why is it easier to derive the magnetic field using Alpare's Law rather than the Biot-Savart Law?

• Alpare's Law involves simpler calculations.

• Biot-Savart Law requires more data.

• Alpare's Law is more accurate.

• Biot-Savart Law is not applicable to wires.