Electricity and magnetism: Electric Field for Two Long Charged Lines

In summary, the conversation discusses the electric field and force per unit length between two lines with linear density +lambda Coulombs/meter and separated by a distance of d meters. The electric field, E, at any point along one of the lines due to the other line is determined to be E = lambda/(2(pi)(epsilon o)(d)). The force per unit length between the two lines can be calculated using the equation F = kdq/x^2, where Q is the linear density, dq is the charge per unit length, and x is the distance between the two lines. The conversation also mentions the use of trigonometric substitution and Coulomb's law in determining the electric field.
  • #1
Silentwhale
3
0

Homework Statement



Given two very long lines each is charged with linear density +lambda Coulombs/meter. The two lines are separated by a distance of d metres.
A) show the electric field E, at any point along one of the lines due to the other line is

E = lambda/(2 (pi)(epsolon o)(d))

(Note: divide line into small segments, apply coulombs law, note the direction, perform summation using trigonometric substitution)

B) write down the force per unit length between the two lines.

Homework Equations

The Attempt at a Solution


Q= lambda/distance
dq = lambda (dx)

dE = kdq/x^2
 
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  • #2
Please show your work so far
 

Related to Electricity and magnetism: Electric Field for Two Long Charged Lines

1. What is an electric field?

An electric field is a physical quantity that describes the force exerted on a charged particle by other charged particles.

2. How is an electric field produced?

An electric field is produced when a charged particle or object creates an imbalance of electric charges in its surroundings.

3. What is the relationship between electricity and magnetism?

Electricity and magnetism are closely related phenomena. Moving electric charges create magnetic fields, and changing magnetic fields can induce electric currents.

4. What is the significance of two long charged lines in relation to electric field?

Two long charged lines are often used to represent a simplified model of an electric field. They can help us visualize and calculate the electric field strength and direction at different points in space.

5. How does distance affect the electric field between two long charged lines?

As the distance between two long charged lines increases, the electric field strength decreases. This is known as the inverse square law, where the strength of the field is inversely proportional to the square of the distance between the charges.

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