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
Elodia [21]
3 years ago
7

A 0.130 m radius, 485-turn coil is rotated one-fourth of a revolution in 4.17 ms, originally having its plane perpendicular to a

uniform magnetic field. (This is 60 rev/s.) Find the magnetic field strength needed to induce an average emf of 10,000 V.
Physics
2 answers:
Lady_Fox [76]3 years ago
5 0

Answer:

The magnetic field strength needed is 1.619 T

Explanation:

Given;

Number of turns, N = 485-turn

Radius of coil, r = 0.130 m

time of revolution, t =  4.17 ms = 0.00417 s

average induced emf, V = 10,000 V.

Average induced emf is given as;

V = -ΔФ/Δt

where;

ΔФ is change in flux

Δt is change in time

ΔФ = -NBA(Cos \theta_f - Cos \theta_i)

where;

N is the number of turns

B is the magnetic field strength

A is the area of the coil = πr²

θ is the angle of inclination of the coil and the magnetic field,

\theta_f = 90^o\\\theta_i = 0^o

V = NBACos0/t

V = NBA/t

B = (Vt)/NA

B = (10,000 x 0.00417) / (485 x π x 0.13²)

B =1.619 T

Thus, the magnetic field strength needed is 1.619 T

Cloud [144]3 years ago
3 0

Answer:

B = 1.619 T

Explanation:

We are given;

Radius of coil, r = 0.13 m

Number of turns; N = 485-turn

Time of revolution, t = 4.17 ms = 0.00417 s

Average induced emf = 10,000

The equation for the for the induced emf is given by;

EMF = -N(ΔФ/Δt)

where;

N is number of turns of coil

ΔФ is change in magnetic flux

Δt is change in time interval

The change in magnetic flux is given by the formula ;

ΔФ = BAcosθ

where;

B is the magnetic field strength

A is the area of the coil = πr²

θ is the angle between the normal to the plane and the magnetic field,

Now, since the coil rotates through one fourth of a revolution, the value of θ changes from 0° to 90°

The value of Δcosθ is found as;

Δcosθ = cos90 - cos0 = 0 - 1 = - 1

Thus,

ΔФ = BAcosθ = -BA

And so, EMF = -N(-BA/Δt) = NBA/Δt

Making B the subject, we have;

B = ((EMF)Δt)/NA

A = πr² = π x 0.13² = 0.0531 m²

Thus, B = ((10000•0.00417)/(485•0.0531) = 1.619 T

V = NBA/t

B = (Vt)/NA

B = (10,000 x 0.00417) / (485 x π x 0.13²)

B =1.619 T

Thus, the magnetic field strength needed is 1.619 T

You might be interested in
¿Cuál es la velocidad del sonido en el aíre a -25°C?
Svetradugi [14.3K]

La velocidad del sonido en el aire (a una temperatura de 20 ºC) es de 343 m/s. La ecuación creada por Newton y posteriormente modificada por Laplace que permite obtener la velocidad del sonido en el aire teniendo en cuenta la variable de la temperatura es "331+(0,6 x Temperatura)".

               

8 0
3 years ago
What is the term used when a ball is hit and the batter reaches the following bases safely (without being called out)?
andre [41]
First base is the answer
4 0
3 years ago
Read 2 more answers
Kinetic energy is stored in a stretched rubber
IRISSAK [1]

Answer:

potential until released

4 0
3 years ago
Read 2 more answers
The downward pull of an object due to gravity is the objects _______?
elena-s [515]
The downward pull of an object due to gravity is the object’s weight.
8 0
3 years ago
Read 2 more answers
A body of mass 5 kg has a velocity<br><br><br>20 MS <br><br>-1 its Momentum is​
Anon25 [30]

Answer:

Momentum is 100 kg.m/s

Explanation:

given

mass, m = 5 kg

velocity, v = 20 m/s

To find : momentum (P)

We know that momentum is given by equation:

p = mv

  = 5 kg x 20 m/s

  = 100 kg.m/s

7 0
3 years ago
Other questions:
  • 8. If a circuit has a current of 25.4 amps with 12.6
    8·1 answer
  • The pattern of repeating properties of elements revealed in the periodic table is known as the (Blank)
    15·2 answers
  • What is the smallest part of a compound called? element atom mixture molecule
    8·2 answers
  • The sound intensity at the ear of passenger in a car with a damaged muffler is 8.0 × 10-3 W/m2. What is the intensity level of t
    8·1 answer
  • NEED HELP ASAP!!!
    9·1 answer
  • Use Kepler’s laws and the period of the Moon (27.4 d) to determine the period of an artificial satellite orbiting very near the
    5·2 answers
  • A metal wire of resistance R is cut into two pieces of equal length. The two pieces are connected together side by side. Part A
    11·1 answer
  • Bob can row 14 mph in still water. The total time to travel downstream and return upstream to the starting point is 4 hours. If
    13·1 answer
  • How many atoms are in a molecule of C6H12O6?
    10·1 answer
  • Pls,help ASAP .the question is in attachment​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!