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
makkiz [27]
3 years ago
12

A coaxial cable consists of alternating coaxial cylinders of conducting and insulating material. Coaxial cabling is the primary

type of cabling used by the cable television industry and is also widely used for computer networks such as Ethernet, on account of its superior ability to transmit large volumes of the electrical signals with minimum distortion. Like all other kinds of cables, however, coaxial cables also have some self-inductance that has undesirable effects, such as producing some distortion and heating. Consider a long coaxial cable made of two coaxial cylindrical conductors that carry equal currents I in opposite directions (see figure). The inner cylinder is a small solid conductor of radius a. The outer cylinder is a thin-walled conductor of outer radius b, electrically insulated from the inner conductor. Calculate the inductance per unit length Ll of this coaxial cable.

Physics
1 answer:
kkurt [141]3 years ago
6 0

Answer:

inductance per unit length is  \frac{L}{l} = \frac{\mu_o}{2 \pi} ln (\frac{b}{a} )

Explanation:

   The diagram of coaxial cable is shown on the first uploaded image

From the question we are told that

      The radius of the inner conductor is  a

       The current passing through the first cylindrical conductors is  = I

      The current passing through the first cylindrical conductors is = - I

      The radius of the outer conductor is  b

According to Ampere's law

          ∮ (\= B \ \= dl) = \mu_o  I

=>       B (2 \pi r) = \mu_o I

=>      B  = \frac{\mu_o I }{2 \pi r }      

   The magnetic flux on the coaxial cable can be mathematically represented as

            \phi = \int\limits^{r_2}_{r_1} {\= B \cdot \= da} \, dx  

          \phi = \int\limits^{\frac{b}{2} }_{\frac{a}{2} } {   \frac{\mu_o I }{2 \pi r }  * l *  dr } \,  

        \phi =    \frac{\mu_o I \ * \ l  }{2 \pi r } [ln [\frac{b}{2} - ln [\frac{a}{2} ] ]]  

        \phi =    \frac{\mu_o I \ * \ l  }{2 \pi r }  ln [\frac{b}{a} ]  

Now the emf induced in the coaxial cable is mathematically represented as

            \epsilon = \frac{d \phi }{dt}  = L \frac{dI}{dt}

=>             \frac{d \phi }{dt}  = L \frac{dI}{dt}

=>            \int\limits {\phi} \,    = L \int\limits {dI} \,

=>            \phi = L I

substituting for  \phi

               \frac{\mu_o I \ * \ l  }{2 \pi r }  ln [\frac{b}{a} ] =  LI

dividing through by l

         \frac{L}{l} = \frac{\mu_o}{2 \pi} ln (\frac{b}{a} )

You might be interested in
Two marbles, one twice as heavy as the other, are dropped to the ground from the roof of a building. Just before hitting the gro
Andreyy89

Answer:

 B. twice as much kinetic energy

Explanation:

Lets take the mass of the first marble =2 m

the mass of the second marble = m

We know that velocity of particle does not depends on their mass that is the velocity of both mass will be same after dropping from the roof.

We know that kinetic energy of a mass is given as

KE=\dfrac{1}{2}Mv^2

Kinetic energy for heavier mass

KE=\dfrac{1}{2}\times 2m\times V^2

Kinetic energy for light mass

KE'=\dfrac{1}{2}\times m\times V^2

KE=2 KE '

Form above two equation we can say that ,the kinetic energy for the heavier mass is twice the lighter mass.

Therefore the answer will be B.

7 0
3 years ago
A rocket sled accelerates from 10 m/s to 40 m/s in 2 seconds. What is the average acceleration of the sled?
Dafna11 [192]

Answer:

15m/s²

Explanation:

Given parameters:

Initial velocity  = 10m/s

Final velocity  = 40m/s

Time taken  = 2s

Unknown:

Average acceleration  = ?

Solution:

Acceleration is the rate of change of velocity with time;

 Acceleration  = \frac{Final velocity   -  Initial velocity }{time}  

  Acceleration = \frac{40 - 10}{2}    = 15m/s²

6 0
3 years ago
What mechanism is most responsible for generating the internal heat of Io that drives its volcanic activity?
Ghella [55]

Answer:

Tidal heating

Explanation:

Tidal force is the ability of a massive body to produce tides on another body. The tidal force depends on the mass of the body that produces the tides and the distance between the two bodies.

Tidal forces can cause the destruction of a satellite that orbits a planet or a comet that is too close to the Sun or a planet. When the orbiting body crosses the "Roche boundary", the tidal forces along the body are more intense than the cohesion forces that hold the body together.

Tidal friction is the force between the Earth's oceans and ocean floors caused by the gravitational attraction of the Moon. The Earth tries to transport the waters of the oceans with it, while the Moon tries to keep them under it and on the opposite side of the Earth. In the long term, tidal friction causes the Earth's rotation speed to decrease, thus shortening the day. In turn, the Moon increases its angular momentum and gradually spirals away from Earth. Finally, when the day equals the orbital period of the Moon (which will be about 40 times the length of the current day), the process will cease. Subsequently, a new process will begin when the power to raise tides from the Sun takes angular momentum from the Earth-Moon system. The Moon will then spiral towards Earth until it is destroyed when it enters the "Roche boundary."

<u>Tidal heating </u>

It is the warming caused by the tidal action on a planet or satellite. The most important example of tidal heating in the Solar System is the effect of Jupiter on its Io satellite, in which the tidal effects produce such high temperatures that the interior of the satellite melts, producing volcanism.

8 0
3 years ago
A book rests on a table, exerting a downward force on the table. the reaction to this force is:
lapo4ka [179]
The upward force the table exerts on the ground!
Equal and opposite forces.
4 0
3 years ago
The talk test can be used to measure the __________. A. knowledge of an activity B. intensity of an activity C. length of an act
marta [7]

Answer:

B.

Explanation:

According to CDC, if you’re doing moderate-intensity activity, you can talk but not sing during the activity.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Define mechanical energy useing the example of the skateboarder on the half-pipe explain how kinetic and potential energy relate
    11·1 answer
  • You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its diameter to be 1.
    8·1 answer
  • The orientation in space of the electron is described by which quantum number?
    9·1 answer
  • 2000-kg car decelerated from 10 m/s to 5 m/s. What is the work done on the car ?
    13·1 answer
  • 1. Which of the following best describes the movement of an object at rest if no outside forces act on it?
    6·2 answers
  • A thermometer is placed in water in order to measure the water’s temperature. What would cause the liquid in the thermometer to
    14·1 answer
  • I need help thanks :)))))))))
    7·1 answer
  • What are possible units for impulse? Check all that apply.
    13·2 answers
  • A mother and daughter are on a seesaw in the park. How far from the center must the 160.9lb mother sit in order to balance the 6
    11·1 answer
  • How long does it take a 100 kg rocket to increase speed from 10
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!