onsider the equations below and match each with the option that best describes the equation. a. Unknown b. Superposition principle c. Potential of positive point charge d. Gauss's Law

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Consider the equations below and match each with the option that best describes the equation.

a. Unknown

b. Superposition principle

c. Potential of positive point charge

d. Gauss's Law

lenc
E-dA
kqi
r²
%3D1
2.
Tenc
E-dA
kq
Transcribed Image Text:lenc E-dA kqi r² %3D1 2. Tenc E-dA kq
Expert Solution
Step 1

Gauss's law in electrostatic states that electric flux through a closed surface is equal to 1ε0 times charge enclosed by the surface.

Mathematically it can be represented as,

E·dA=qencε0...(1)

Where,

E=Electric fieldA=Areaqenc=Charge enclosedε0=Permittivity of vacuum

The electrostatic potential is defined as the work done by the electrostatic force to bring a unit positive charge from infinity to the given point.

Mathematically potential can be represented as,

V=14πε0qr=kqr...(2)

Where,

ε0=Pemittivity of vacuumq=Charger=Distance from the charge

 

 

Step 2

Superposition principle states that for linear forces, the total force is the vector sum of individual forces.

The force experienced by the unit positive charge is called the electric field.

Electric field is given by,

E=14πε0qr2...(3)

Where,

q=Chargesr=Distance of separation between the charges

For n charges total electric field can be written as,

Etotal=14πε0i=1nqiri2=i=1nkqiri2...(4)

 

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