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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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Using Stefan's law, Power output of the sun is given as

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4 0
3 years ago
A charged particle accelerated to a velocity v enters the chamber of a mass spectrometer. The particle's velocity is perpendicul
gladu [14]

Answer:

Circle

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When a charged particle is in motion in a region with magnetic field, the particle experiences a force whose magnitude is given by

F=qvB sin \theta

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q is the charge

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\theta is the angle between the directions of v and B

In this problem, the velocity of the particle is perpendicular to the magnetic field, so

\theta=90^{\circ}

and the formula reduces to

F=qvB

Also, the direction of this force is perpendicular to the direction of motion of the particle. This means that as the charge moves in the region of the magnetic field, the force acting on it acts as a centripetal force: therefore, the particle will start moving by unifom circular motion, with constant speed (because the magnetic force does no work on the particle, since it is perpendicular to the direction of motion).

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A cube of wood having an edge dimension of 20.0cm and a density of 650 kg /m³ floats on water. (a) What is the distance from the
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The distance from the horizontal top surface of the cube to the water level is "6.282 cm".

<h3>What is Archimedes' principle?</h3>

According to Archimedes' principle, the weight of the fluid that the body displaces is equal to the upward buoyant force that is applied to a body submerged in a fluid, whether fully or partially. The Archimedes' principle is a fundamental physical law in fluid mechanics. It was created by Syracuse's Archimedes.

According to Archimedes' principle, a body submerged in a fluid experiences an upward force proportional to the weight of the fluid that has been displaced. One of the prerequisites for equilibrium is this. We believe that the buoyancy force, also known as the centre of buoyancy, is situated in the middle of the submerged hull.

From Archimedes' principle, we get

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The distance from horizontal top to the water level will be:

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To learn more about Archimedes' principle refer to:

brainly.com/question/1155674

#SPJ4

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