Prove N Cross A=0: Curl, H, B, A Problem

Thread starter magleviee
Start date Nov 22, 2007
Tags

Curl

In summary, "Prove N Cross A=0" is a mathematical statement used in physics and engineering to describe symmetries and conservation laws. It relates to the cross product of two vectors, the curl operation, and the magnetic field and flux density. It is an important equation in scientific research and has practical applications in fields such as electric motors and electromagnetic waves.

Nov 22, 2007

magleviee

N is the normal vector of a surface Sb and N dot B=0, div B=0 on Sb. Therefore, let B=curl A where A is a vector field. How can you prove that N cross A=0? Thanks.

Last edited: Nov 22, 2007

Physics news on Phys.org

Nov 27, 2007

siddharth

Homework Helper

Gold Member

What have you done with this question? You need to show some work before you get help.

FAQ: Prove N Cross A=0: Curl, H, B, A Problem

What does "Prove N Cross A=0" mean?

"Prove N Cross A=0" is a mathematical statement that means the cross product of the vector N and the vector A is equal to zero. This statement is commonly used in physics and engineering to describe symmetries and conservation laws.

What is the curl in the context of "Prove N Cross A=0"?

The curl is a mathematical operation that measures the rotation or "circulation" of a vector field. In the context of "Prove N Cross A=0", the curl of the vector field A is equal to zero, which means that there is no rotational component in the vector field.

How do the vectors H and B relate to "Prove N Cross A=0"?

In the context of "Prove N Cross A=0", the vectors H and B represent the magnetic field and the magnetic flux density, respectively. These vectors are often used in electromagnetic theory and are related to the vector A through the equation N Cross A=H-B.

Why is "Prove N Cross A=0" important in scientific research?

"Prove N Cross A=0" is important because it is a fundamental equation in electromagnetism and is used to describe the behavior of magnetic fields. This equation is also related to the conservation of magnetic flux and has many important applications in physics and engineering.

Is there a practical application for "Prove N Cross A=0"?

Yes, there are many practical applications for "Prove N Cross A=0". One example is in the design and analysis of electric motors, where this equation is used to calculate the torque and force exerted by the motor's magnetic field. It is also used in the study of electromagnetic waves and their propagation through different materials.