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
Alexxx [7]
3 years ago
13

A single-phase 60-Hz overhead power line is symmetrically supported on a horizontal cross arm. Spacing between the centers of th

e conductors acing between the centers of the conductors (say, a and b) is 2.5 m. A telephone line is also symmetrically supported on a horizontal cross arm 1.8 m directly below the power line. Spacing between the centers of these conductors (say, c and d) is 1.0 m.
4 x 10^7 ln âDad. Dln/Dnk. Dtet

where, for example, Dud denotes the distance in meters between conductors a and.

a. Hence, compute the mutual inductance per kilometer between the power line and the telephone line.
b. Find the GO-Hz voltage per kilometer induced in the telephone line when the power line carries 150 A.
Physics
1 answer:
pentagon [3]3 years ago
5 0

Complete question is;

A single-phase 60-Hz overhead power line is symmetrically supported on a horizontal cross arm. Spacing between the centers of the conductors acing between the centers of the conductors (say, a and b) is 2.5 m. A telephone line is also symmetrically supported on a horizontal cross arm 1.8 m directly below the power line. Spacing between the centers of these conductors (say, c and d) is 1.0 m.

The mutual inductance per unit length between circuit a-b and circuit c-d is given as 4 x 10^(-7) ln √((D_ad × D_bc)/(D_ac × D_bd)) H/m

where, for example, D_ad denotes the distance in meters between conductors a and d.

a. Hence, compute the mutual inductance per kilometer between the power line and the telephone line.

b. Find the 60-Hz voltage per kilometer induced in the telephone line when the power line carries 150 A

Answer:

A) M = 1.01 × 10^(-4) H/km

B) v_cd = 5.712 V/km

Explanation:

A) From the distances given in the question, we can deduce that;

D_ac = √(((2.5/2) - (1/2))² + 1.8²)

D_ac = 1.95 m

Also;

D_ad = √(((2.5/2) + (1/2))² + 1.8²)

D_ad = 2.51 m

I_a and I_b are put of phase by 180°. Thus, due to a and b, the flux linkages to c and d is given as;

φ_cd = 4 x 10^(-7)I_a( ln (2.51/1.95))

Mutual inductance per km is given as;

M = φ_cd/I_a

Thus;

M = 4 x 10^(-7)( ln (2.51/1.95))

M = 1.01 × 10^(-7) H/m

Per km;

M = 1.01 × 10^(-7) × 1000

M = 1.01 × 10^(-4) H/km

B) voltage per km is gotten by;

v_cd = ωMI

Now, ω = 2πf = 2π × 60 = 377 rad/s

Thus;

v_cd = 377 × 1.01 × 10^(-4) × 150

v_cd = 5.712 V/km

You might be interested in
The nucleus is found in the center of an atom options: True False
AfilCa [17]
It’s true all the way. It’s true
8 0
2 years ago
Read 2 more answers
Five hundred million years ago, basaltic lava flowed in an area now known as Monticello, the historic home of Thomas Jefferson.
aev [14]

Explanation:

               Igneous -  metamorphic -  sedimentary

A rock cycle provides the cyclic transformation of one rock type to another in nature.

There are three main types of rock involved in the rock cycle;

  • igneous rocks are derived from the cooling and solidification of molten magma
  • metamorphic rocks are changed rocks subjected to intense pressure and temperature
  • sedimentary rocks are derived from rock sediments that have been lithified.

The history of the rock in Monticello begins with igneous rock formation. Basalt is an igneous rock that forms from the cooling and solidification of molten magma. Under intense pressure and temperature regimes, they are changed to metamorphic rocks.

Agents of denudation such as wind, water and glacier weathers the rock and disintegrates it. They are then carried into basins where they are deposited. Here they form sedimentary rock.

The process still goes on as the sedimentary rock gets taken into depth, they can either melt to form igneous rock or be changed to metamorphic rocks.

learn more:

metamorphic process brainly.com/question/869769

sedimentary rocks brainly.com/question/9131992

#learnwithBrainly

5 0
3 years ago
Velocity has two pieces of information.what are they
seraphim [82]
They are speed and direction.
3 0
3 years ago
A value with magnitude only is a ?​
harkovskaia [24]
Scalar quantities have only a magnitude. So the answer is scalar quantities.
4 0
2 years ago
Expansionary monetary policies would likely cause
Jlenok [28]

Answer:

TRUE

Explanation:i've seen one and please make me the brainlest

6 0
1 year ago
Other questions:
  • Ground water erosion can result in the formation of stalactite and stalagmite in caves.true or false
    9·2 answers
  • Why can’t contour lines cross?
    8·1 answer
  • Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the speed of the blades tips can be
    15·1 answer
  • 4. A girl is sitting on a tire swing that is attached with a rope that is 2.1 m in length. Her dad pushes her with a speed of 3.
    15·1 answer
  • Why is it important to include variety in your workouts
    12·1 answer
  • What is the area of space around a magnet called?
    5·1 answer
  • __________ is extremely resistant to oxidation and rusting.
    13·1 answer
  • Which feature of a heating curve indicates a change of state
    10·1 answer
  • I need help with question 4 please​
    8·1 answer
  • A glass optical fiber is used to transport a light ray across a long distance. The fiber has an index of refraction of 1.510 and
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!