When the electric flux is maximum, minimum or zero. State in words Gauss\'s Law

Question

When the electric flux is maximum, minimum or zero. State in words Gauss's Law and write the formula. In what kind of problems can be applied? What is a Gaussian Surface? Give two examples of Gaussian surface (different in shape) for the problem of finding the electric field of an infinite plane uniformly charged? What is a capacitor and how the potential difference and total charge are related? For the parallel plate capacitor: Compare the following quantities in the case of a dielectric inserted between the plates and without it: -Electric field: -Electric potential: -Capacitance:

Explanation / Answer

Step 1

When electric flux become maximum minimum or zero

Let E= electric field , A= cross-sectional area and Ø = electric flux

ß= angle between the Area and electric field

then Ø= EAcos(ß)

now when ß= 00 , then Ø= maximum

and when ß=900then Ø= 0

Step 2

Gauss's law

the total of the electric flux out of a closed surface is equal to the charge enclosed by the closed surface divided by the electric permitivity

Ø= Q/e0

this law is applied to find out electric field

Step 3

any closed surface which enclosed all charge particle is known as the Gaussian surface

Example of Gaussian surface are cylindrical surface and spherical surface

Step 4

capacitor is an electronic component which can store the electric charge

capacitance =C total charge =Q, potential difference =V

relation , C=Q/V

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