Answer:
The expresion for the flux through the disk is:
Ф = E·πR^2·cos(Θ).
Explanation:
Let's sat the electric field has direction e and the normal to the disk has direction n (bold means vector quantities). So we have:
E=E·e (where E is the magnitud of the electric flied)
A=A·n
The flux for an uniform electric field and a flat surface is:
Ф=E×A
⇒ Ф = E·A·e×n = E·A·cos(angle(e,n)) = E·A·cos(Θ)
Since in this case the area is for a disk of radius R, [tex]A=\pi R^{2}[/tex]
So, Ф = E·πR^2·cos(Θ)
Answer:
The electric flux through the disk are
Explanation:
Electric Force is Calculated by:
Electric flux = E * A cosθ
where
E is the magnitude of the electric field
A represent area of the disk
and θ is the angle between the electric field lines and the normal (perpendicular) to A
Area, A = πR²
So, Electric flux = E(πR²) cosθ
Also, note that the cosine of an angle can be written as sine of its complementary angle.
Assuming θ + ϕ = 180
Then, cosθ = sinϕ
So, Electric flux = E(πR²) cosθ can be written as
Electric flux = E(πR²) sinϕ
