ELECTRIC FIELD SCREENING EFFECT

Before we begin looking into how transistors work, it would be helpful to revisit the relationship between the distribution of charge and electric field.

An Infinite Plane Sheet of Charge

Let's assume we have an infinitely large two dimensional plane sheet of charge. Click on the plane to positively charge it.

In practice, the plane does not need to be infinite. If we only look at the points in space close to the plane, (i.e. x much smaller than the plane size in y and z directions) we can consider the plane infinite.

Note that charge is evenly distributed on the plane and the finite number of + signs is for representation purposes. In reality, the number of charged particles is many, many orders of magnitude larger.

Can you explain why the electric field is perpendicular to the plane? (Hint: Think about symmetry)





Charge Density

What happens if we change the charge density? (Use the slidebar)



Charge Polarity

What happens if you negatively charge the plane?





Two Plane Sheets of Opposite Charges

Let’s look at what happens when we put two sheets of opposite charges together. This effect is called screening.

You can click and drag to move the negatively charged sheet... Use the buttons below to show the screening effect or toggle the arrows.




Partial Screening

The charge density in the two plane sheets may not always match exactly. Let’s see what happens in that case.







Recovering the Full Screening

What if we add an additional plane sheet of negative charge such that the total negative charges become equal to the positive charges?



You can hover over each sheet to see its charges more clearly.




Screening via Multiple Sheets of Charge

The full screening may happen via multiple sheets of charge of varying densities.

Use the slider to gradually move negative charges left and right.






Screening via Charge Distributed in a Volume

What if the negative charges are evenly distributed within a given volume? One can consider this as an extreme case of having a large number of plane sheets of negative charge.

Use the slider to change the width of the volume.