What is the electric field formula for a long line?

In summary, the conversation discusses the calculation of electric field radiated by a 50 Hz transmission line. The formula E = lambda / 2*pi*eps0*r is mentioned, with lambda representing charge per unit length. The question is raised about how to calculate lambda, and it is found that the formula B = mu0*I / 2*pi*r for magnetic field can be used. Through operations using Gauss law and Faraday's law, the formula E = I / 2*pi*eps0*r*v is derived, with v representing the speed of light. The formula is tested and proven to work, leading to the realization that the people involved in this subject were geniuses.
  • #1
akle
3
0

Homework Statement



Hi. I want to calculate electric field radiated by 50 Hz transmission line (overhead power line). for this I'm thinking about Gauss law which can help. in this case I have formula E = lambda / 2*pi*eps0*r
where lambda is charge per unit length (unit: Coloumb / m).
the problem is that if I want to calculate electric field E, how I can get value for lambda ?... is there another formula for lambda ?
 
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  • #2
Finally I've found that
by Ampers law: B = mu0*I / 2*pi*r
where B is magnetic field.
after several operation i.e using Gauss law, by Faraday's law
B = mu0*eps0*E*v
after that electric field becomes E= I / 2*pi*eps0*r*v
where v is prooved to be speed of light. I've tested also this formula by taking into account units,it worked!.
very cool. I realize that these people were really genios as I'm digging into subject :)
 

FAQ: What is the electric field formula for a long line?

What is an electric field?

An electric field is a physical quantity that describes the influence a charged object has on other charged objects in its surrounding space. It is a vector field, meaning it has both magnitude and direction.

What is a long line in relation to an electric field?

A long line, also known as an infinite line, is an imaginary line that extends infinitely in both directions. In the context of an electric field, it refers to a charged object with a very large length compared to its radius.

How is the electric field of a long line calculated?

The electric field of a long line can be calculated using the equation E = λ/2πεr, where λ is the linear charge density, ε is the permittivity of the surrounding medium, and r is the distance from the line.

What factors affect the strength of the electric field of a long line?

The strength of the electric field of a long line is affected by the magnitude of the charge on the line, the distance from the line, and the permittivity of the surrounding medium. It is also dependent on the geometry of the line, such as its length and radius.

What is the direction of the electric field of a long line?

The electric field of a long line is directed radially outward from the line, meaning it forms a cone shape with the line at its center. The direction of the field can be determined using the right hand rule, where the fingers point in the direction of the electric field and the thumb points in the direction of the line.

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