# Infinite plates, with current running through

• jehan60188
In summary: XIn summary, the conversation discusses the calculation of the y-component of the net magnetic field for two infinite sheets of current flowing parallel to the y-z plane. The left-hand sheet has a density of 960 wires/m and a current per wire of 0.15 A in the +z direction, while the right-hand sheet is identical except for a current per wire of 0.15 A in the -z direction. The approach taken to calculate the y-component is correct, but the integration limits and units should be checked, and a computer program or table of integrals may be helpful for solving the integral accurately.
jehan60188

## Homework Statement

Two infinite sheets of current flow parallel to the y-z plane. The left-hand sheet, which intersects the x-axis at x = 0, consists of an infinite array of wires parallel to the z-axis with a density n = 960 wires/m and a current per wire of IL = 0.15 A in the +z direction. The right-hand sheet, which intersects the x-axis at x = a = 12 cm, is identical to the left-hand sheet, except that it has a current per wire of IR = 0.15 A in the -z direction.

(a) Calculate the y-components of the net magnetic field in the following places: x1 = -15 cm,

## Homework Equations

B for a wire = u*I/(2*PI*R)

## The Attempt at a Solution

R = sqrt(h+.15)

so the y component of B for any wire is

sin(theta)*u*I/(2*PI*R)

where theta = arctan(h/.15)

so, two times the integral from zero to infiniti of B wrt h should give me the right answer
it does not >_<

Thank you for your question. The approach you have taken to calculate the y-component of the net magnetic field is correct. However, your integration limits may be incorrect. Since the left-hand sheet intersects the x-axis at x=0 and the right-hand sheet intersects the x-axis at x=a=12cm, the integration limits should be from 0 to a=12cm. Also, make sure that you are using the correct units for all variables (meters for length, amperes for current, etc.).

Another thing to note is that the integral you are trying to solve is not a simple one. It involves the use of trigonometric functions and special functions, so it may be helpful to use a computer program or a table of integrals to solve it accurately.

I hope this helps. Let me know if you have any further questions. Good luck with your calculations!

Scientist

## What is an infinite plate?

An infinite plate is a hypothetical object with an infinitely large surface area and no boundaries.

## What does it mean to have a current running through an infinite plate?

Having a current running through an infinite plate refers to the flow of electric charge through the plate in a specific direction due to the presence of an external source, such as a battery or power source.

## What is the significance of studying infinite plates with current?

Studying infinite plates with current helps us better understand the behavior of electric fields and how they interact with conductive materials. This has practical applications in various fields, such as electronics and engineering.

## How does the presence of current affect the electric field around an infinite plate?

The presence of current in an infinite plate creates a non-uniform electric field, with a higher concentration of field lines around the edges of the plate. This is known as the "edge effect" and is a result of the current being forced to flow around the edges of the plate.

## Can an infinite plate with current be used as a practical source of electricity?

No, an infinite plate with current is a theoretical concept and cannot be practically used as a source of electricity. However, the principles and understanding gained from studying it can be applied to practical devices and systems.

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