Square Loop Current: Vector Potential Zero w/ 2 Sides

Thread starter shehab
Start date Nov 17, 2007
Tags

Current Current loop Loop Square

In summary, a square loop current is an electrical current that flows in a square-shaped loop and is commonly used in electromagnetic experiments and electronic devices. A vector potential is a mathematical concept used to describe the magnetic field generated by a current and is calculated using the Biot-Savart law or Maxwell's equations. In a square loop current with two sides, the vector potential is zero due to the cancelation of the magnetic field. This type of current has various applications in electromagnetism, including in the design and analysis of electric motors, generators, and transformers, as well as in the study of magnetic fields and the development of magnetic sensors and detectors.

Nov 17, 2007

shehab

how could a current in a square loop has a vector potential be zero due to 2 sides only.

Last edited: Nov 17, 2007

Physics news on Phys.org

Nov 17, 2007

Crosson

I believe the vector potential is zero in the center of loop only.

Nov 17, 2007

shehab

do you mean at the center the vector is zero inside the loop. or only for two sides that are parallel to the x axis.

FAQ: Square Loop Current: Vector Potential Zero w/ 2 Sides

What is a square loop current?

A square loop current refers to a type of electrical current that flows in a square-shaped loop or circuit. It is often used in electromagnetic experiments and can be found in various electronic devices.

What is a vector potential?

A vector potential is a mathematical concept used in electromagnetism to describe the magnetic field that is generated by a current. It is a vector quantity that has both magnitude and direction, and is used to calculate the magnetic field at a specific point in space.

Why is the vector potential zero in a square loop current with two sides?

The vector potential is zero in a square loop current with two sides because the current flows in opposite directions on the two sides of the loop. This results in the cancelation of the magnetic field, causing the vector potential to be zero.

How is the vector potential calculated in a square loop current with two sides?

The vector potential in a square loop current with two sides can be calculated using the Biot-Savart law, which relates the magnetic field at a point to the current flowing through a wire. It is also possible to use the magnetic vector potential formula, which is derived from Maxwell's equations.

What are some applications of a square loop current with two sides?

A square loop current with two sides has various applications in electromagnetism, including in the design and analysis of electric motors, generators, and transformers. It is also used in the study of magnetic fields and in the development of magnetic sensors and detectors.