# Two Infinite Non-Conducting Planes

In summary, the electric field is 19j for points above plane 'r', -31j between the planes, and -19j below plane 's'. To calculate σr, the surface charge density for plane 'r', use the equation E=\frac{\sigma}{2\epsilon_0}. Remember that E>0 means it points away from the plane where \sigma is located, and E<0 means it points toward the plane where \sigma is located. The E in each region is the sum of the E's from the individual planes, so you will need to write 3 equations for the three regions in terms of the three E's and two \sigma's. Be mindful of the + and - signs in the

## Homework Statement

The electric field equals 19j for points above plane 'r', -31j between the planes, and -19j below plane 's', where j is the unit vector in the +y direction and the fields are in V/m. Calculate σr, the suface charge density for plane 'r'.

positive y- straight up
positive x-to the right.

E=Qenc/Epsilon0

## The Attempt at a Solution

i tried adding the 19j + -31j then multiplying that by Epsilon 0. that didnt work. not sure how to add or apply the electric fields. any pointers on how to solve that?

bump!

anyone? i don't know which field to add or subtract. any help?

You're using the wrong relationship between charge and E. While your relationship is strictly correct, what you need is

$$E=\frac{\sigma}{2\epsilon_0}$$

where $E>0$ means that it points away from the plane where $\sigma$ is (and $\sigma>0$), and $E<0$ means that it points toward the plane where $\sigma$ is (and $\sigma<0$). Then, you need to realize that the E in each of the three regions is the sum of the E's from the individual planes, and you have to be careful about the + and - signs. So, you can write 3 equations for the three regions in terms of the three E's and two $\sigma$'s.

## 1. What are two infinite non-conducting planes?

Two infinite non-conducting planes refer to two flat surfaces that extend infinitely in all directions and are made of materials that do not conduct electricity.

## 2. How do two infinite non-conducting planes interact?

Two infinite non-conducting planes interact through electrostatic forces, which are forces that act between electrically charged objects. These forces can either be attractive or repulsive depending on the charge of the planes.

## 3. What is the electric field between two infinite non-conducting planes?

The electric field between two infinite non-conducting planes is constant and uniform. This means that the strength and direction of the electric field is the same at all points between the planes.

## 4. Can two infinite non-conducting planes have different charges?

Yes, two infinite non-conducting planes can have different charges. This will result in a non-uniform electric field between the planes, as the strength and direction of the electric field will vary at different points between the planes.

## 5. What is the significance of studying two infinite non-conducting planes?

Studying two infinite non-conducting planes allows scientists to understand and analyze electrostatic forces and electric fields in a simplified and controlled environment. This knowledge can then be applied to more complex systems and practical applications such as designing electronic devices.

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