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lisabon 2012 [21]
3 years ago
15

A disk with a radius of R is oriented with its normal unit vector at an angle Θ with respect to a uniform electric field. Which

of the following represent the electric flux through the disk?
Physics
2 answers:
marissa [1.9K]3 years ago
8 0

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, A=\pi R^{2}

So, Ф = E·πR^2·cos(Θ)

lisabon 2012 [21]3 years ago
3 0

Answer:

The electric flux through the disk are

  • E(πR²)sinϕ
  • E(πR²)cosθ

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

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