What is the relationship between electric flux and electric field? Electric flux is said to be electric field passing through a particular surface...


The electric field (`E` ) is defined as the electric force per unit charge. The electric flux (`Phi_E` )is defined as the electric field times the normal area vector. 


`Phi_E=E*A cos(theta)`


In Gausses law this quantity is proportional to the amount of charge enclosed by a surface.


`Phi_E=Q_(enc)/epsilon_0`


This is a very useful tool to figure out the electric field of an object when you know the charge, for instance if we have...



The electric field (`E` ) is defined as the electric force per unit charge. The electric flux (`Phi_E` )is defined as the electric field times the normal area vector. 


`Phi_E=E*A cos(theta)`


In Gausses law this quantity is proportional to the amount of charge enclosed by a surface.


`Phi_E=Q_(enc)/epsilon_0`


This is a very useful tool to figure out the electric field of an object when you know the charge, for instance if we have a spherical uniform charge distribution of radius `R` , then whats the electric field at `rgtR` ?


`Phi_E=Q_(enc)/epsilon_0`


`E*A=Q_(enc)/epsilon_0` Since E and A are parallel everywhere in space.


`E(4 pi r^2)=Q_(enc)/epsilon_0`


`E=Q/(4pi epsilon_0 r^2)`


The same as for a point charge at r=0.


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