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What is the magnitude of the force per unit area between two infinite, uniformly charged plates...

What is the magnitude of the force per unit area between two infinite, uniformly charged plates with a surface charge density of +4.20

Expert Solution

Consider an infinite plane which carries the uniform charge per unit area . Suppose that the plane coincides with the - plane (i.e., the plane which satisfies ). By symmetry, we expect the electric field on either side of the plane to be a function of only, to be directed normal to the plane, and to point away from/towards the plane depending on whether is positive/negative.

**Figure :** *The electric field generated by a uniformly charged plane.*

Let us draw a cylindrical gaussian surface, whose axis is normal to the plane, and which is cut in half by the plane--see Fig. Let the cylinder run from to , and let its cross-sectional area be . According to Gauss' law,

therefore,

so force F= Charge (q)* Electric Field (E).
force per unit area (F/A)= q*E/A.
F/A= (q/A)*E.
F/A=

*E
-------------------------F/A=(

^2)/(2*E0).-------------------

For two plates of oppsite sign charge density, force is equal in magnitude but different in direction.
Ans A) F/A=(4.20

genius_generous answered 2 years ago

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