1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Murrr4er [49]
3 years ago
14

What is E(r)E(r)E(r), the radial component of the electric field between the rod and cylindrical shell as a function of the dist

ance rrr from the axis of the cylindrical rod?
Physics
1 answer:
andriy [413]3 years ago
4 0

Answer:

E(r) = λ/2πrε0

Explanation:

If we consider an infinitely long line of charge with the charge per unit length being λ, we can take advantage of the cylindrical symmetry of this situation.

By symmetry, i mean that the electric fields all point radially away from the line of charge and thus there is no component parallel to the line of charge.

Niw, let's use a cylinder (with an arbitrary radius (r) and length (l)) centred on the line of charge as our Gaussian surface.

Doing that will mean that the electric field would be perpendicular to the curved surface of the cylinder. Therefore, the angle between the electric field and area vector is equal to zero and cos θ = cos 0 = 1

Now, the top and bottom surfaces of the cylinder will lie parallel to the electric field. Therefore, the angle between the area vector and the electric field would be 90° and cos θ = cos 90 = 0

Now, we know that according to Gauss Law,

Electric Flux, Φ = E•dA

Thus,

Total Φ = Φ_curved + Φ_top + Φ_bottom

Thus,

Φ = ∫E•dA cos 0 + ∫E•dA cos 90° + ∫E•dA cos 90°

We now have ;

Φ = ∫E . dA × 1

Since we are dealing with the radial component, the curved surface would be equidistant from the line of charge and the electric field in the surface will be the same magnitude throughout.

Thus,

Φ = ∫E•dA = E∫dA = E•2πrl

The net charge enclosed by the surface is given by:

q_net = λl

So using gauss theorem, we have;

Φ = E•2πrl = q_net/εo = λl/εo

E•2πrl = λl/ε0

Making E the subject, we obtain ;

E = λ/2πrε0

You might be interested in
The resistance between 2 points in an electrical circuit is 1.1 Ω. What additional resistance
valentinak56 [21]

Answer:

the new resister is 11 ohms.

Explanation:

Set it  up like this.

1/x + 1/1.1 = 1                    Subtract 1/1.1 from both sides

1/x = 1 - 1/1.1

1 - 1/1.1 = 1/11

1/x = 1/11                          Cross multiply

11 = x

If 1/11 bothers you, you could do it it another way.

1 - 1/1.1 = (1.1 - 1 ) / 1.1 = 0.1 / 1.1  Multiply top and bottom by 10

0.1*10/(1.1 * 10 ) = 1 / 11

5 0
3 years ago
When a person falls from certain height on cemented floor, he receives more injuries why​
monitta

Explanation:

When a man falls on a hard cemented floor his momentum reduced to zero in a very short time and hurt the man. Whereas when a man falls on a heap of sand. As sand can compress, it takes longer time for the man to hit the ground (or hard surface)

8 0
2 years ago
Which one is the answer
andreev551 [17]

Answer:

translucent

Explanation:

you can see light coming thru but u cant see thru the glass.

4 0
3 years ago
Read 2 more answers
Mechanical energy often changes between potential and kinetic energy. True or False
Allushta [10]

I wanna say its ture but it didnt exactly say that is transfered from those types of energy so I would just say false

8 0
3 years ago
Read 2 more answers
a solenoid has 364 coils. the flux through each changes from 2.57*10^-5 Wb to 9.44*10^-5 Wb in 0.0154s. how much EMF is generate
timurjin [86]

Answer:

1.62

Explanation:

comment section (credits to <em>charlizebarth</em>)+ correct on acellus

8 0
2 years ago
Other questions:
  • Guitar string has an overall length of 1.22 m and a total mass of 3.5 g before being strung on a guitar. Once it is used on the
    5·1 answer
  • Which of the following is correctly describes a radio wave
    8·2 answers
  • Imagine you are on a bus with a helium balloon tied on a string tied to the seat in front of you. the bus stops short to avoid r
    6·1 answer
  • Microwave transmission involves sending signals from one microwave station to another. What is this often called?
    10·1 answer
  • A 0.700-kg particle has a speed of 1.90 m/s at point circled A and kinetic energy of 7.20 J at point circled B. (a) What is its
    7·1 answer
  • A tube closed at one end is used to determine the speed of sound in air. The resonances occur every 32 cm when a 530-Hz tuning f
    15·1 answer
  • A car of mass 750 kg has an initial speed of 75 mph. Traveling in a straight line, its speed is increased uniformly to 120 mph i
    5·1 answer
  • Please can someone give a clear explanantion, <br><br> no extra links thanks
    10·1 answer
  • An object will sink in a liquid if the density of the object is greater than that of the liquid. The mass of a sphere is 9.83 g.
    7·1 answer
  • What is the net force 100n to the left 100 n to the right
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!