Calculating Flux of a Vector Field

Thread starter -EquinoX-
Start date Apr 16, 2009
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Field Flux Vector Vector field

In summary, a vector field is a mathematical concept that assigns a vector to each point in space, representing physical quantities like force, velocity, or electric fields. Flux is a measure of the flow of a vector field through a surface, calculated by taking the dot product of the vector field and the surface's normal vector and integrating over the surface. To calculate flux, the vector field and surface must first be determined and integrated using appropriate techniques. The physical significance of flux is its representation of the amount of a physical quantity passing through a given surface, making it useful for calculating fluid flow, electromagnetism, and heat transfer. Real-world applications of calculating flux include studying fluid dynamics, electromagnetism, and heat transfer in fields such as physics,

Apr 16, 2009

-EquinoX-

Homework Statement

http://img16.imageshack.us/img16/9926/fluxs.th.jpg

Homework Equations

The Attempt at a Solution

I really don't know how to solve this, can anyone help me please?

Last edited by a moderator: May 4, 2017

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Apr 16, 2009

lanedance

Homework Helper

try starting with the definition of flux

What is a vector field?

A vector field is a mathematical concept that assigns a vector to each point in space. This can represent physical quantities like force, velocity, or electric fields.

What is flux?

Flux is a measure of the flow of a vector field through a surface. It is calculated by taking the dot product of the vector field and the surface's normal vector and integrating over the surface.

How do you calculate flux?

To calculate flux, you need to first determine the vector field and the surface you want to calculate the flux through. Then, take the dot product of the vector field and the surface's normal vector and integrate over the surface using appropriate integration techniques.

What is the physical significance of flux?

Flux represents the amount of a physical quantity passing through a given surface. It can be used to calculate quantities like the amount of fluid flowing through a pipe or the amount of electric charge passing through a surface.

What are some real-world applications of calculating flux?

Calculating flux has many practical applications in fields such as physics, engineering, and fluid dynamics. It can be used to study fluid flow, electromagnetism, and heat transfer, among other things.