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Discuss Gauss’s Law in Electrostatics
Answers (1)
Gauss's Law
We can use Gauss's Law to determine how electric charges make an electric field. It says that the total charge inside a closed surface affects the total electric field that flows through it.
This is what Gauss's Law says:
When you split the total charge inside a closed surface by a constant called the permittivity of free space, you get the total electric flux through that surface.
In terms of math,
?E⋅dA=Q?0
Where:
E stands for electric field.
dA = A small part of the surface
Q = The electric charge inside the surface
ε? = A constant (permittivity of free space)
What Gauss's Law Really Means
The electric field is zero if there is no charge inside.
The electric field lines point outward if there is a positive charge.
If there is a negative charge, the lines of the electric field touch each other.
How do we use Gauss's Law?
1. Figure out the electric field of a plane, a sphere, or a cylinder.
2. Describe how charges are spread out in a conducting disk (charges stay on the surface).
3. It is used to store and control electric charge in capacitors and insulators.
Gauss's Law makes it easy to figure out electric fields, especially for spheres, cylinders, and other symmetrical shapes.
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