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
Harman [31]
3 years ago
5

An alternator consists of a coil of area A with N turns that rotates in a uniform field B around a diameter perpendicular to the

field with a rotation frequency f.
a)find the fem in the coil

b)what is the amplitude of the alternating voltage if N= 100 turns, A = 10 ^ -2 m ^ 2, B = 0.1T, f = 2000 rev/min
Physics
1 answer:
svet-max [94.6K]3 years ago
7 0

Answer:

(a): emf = \rm 2\pi f NBA\sin(2\pi ft).

(b): Amplitude of alternating voltage = 20.942 Volts.

Explanation:

<u>Given:</u>

  • Area of the coil = A.
  • Number of turns of coil = N.
  • Magnetic field = B
  • Rotation frequency = f.

(a):

The magnetic flux through the coil is given by

\phi = \vec B \cdot \vec A=BA\cos\theta

where,

\vec A = area vector of the coil directed along the normal to the plane of the coil.

\theta = angle between \vec B and \vec A.

Assuming, the direction of magnetic field is along the normal to the plane of the coil initially.

At any time t, the angle which magnetic field makes with the normal to the plane of the coil is 2\pi ft

Therefore, the magnetic flux linked with the coil at any time t is given by

\phi(t) = NBA\cos(2\pi ft)

According to Faraday's law of electromagnetic induction, the emf induced in the coil is given by

e=-\dfrac{d\phi}{dt}\\=-\dfrac{d(NBA\cos(2\pi ft))}{dt}\\=-NBA(-2\pi f\sin(2\pi ft))\\=2\pi f NBA\sin(2\pi ft).

(b):

The amplitude of the alternating voltage is the maximum value of the emf and emf is maximum when \sin(2\pi ft)=1.

Therefore, the amplitude of the alternating voltage is given by

e_o = 2\pi ft NBA.

We have,

N=100\\A=10^{-2}\ m^2\\B=0.1\ T\\f=2000\ rev/ min = 2000\times \dfrac{1}{60}\ rev/sec=33.33\ rev/sec.

Putting all these values,

e_o = 2\pi \times 33.33\times 100\times 0.1\times 10^{-2}=20.942\ Volts.

You might be interested in
Why do we see black? Is light being admitted reflected or absorbed or transmitted
Diano4ka-milaya [45]

Answer:When white light strikes an object, each individual frequency of light is transmitted, reflected, or absorbed, depending on the properties of the surface molecules. If all frequencies are absorbed by the object, then it appears black. If all frequencies are reflected, then it appears white.

Explanation:

4 0
2 years ago
Read each scenario and then answer the question. Scenario A: 120 J of work is done in 6 s. Scenario B: 160 J of work is done in
Alexeev081 [22]

The power in every scenario is the same. Power is the measurement of the energy transfer over time.

<h3>What is power?</h3>

Power is the measurement of the energy transfer over time. It can be calculated by the formula,

P = \dfrac Wt

Where,

P- power

W - work

t - time

In scenario A,

P = \dfrac {120 }6 = 20 \rm \ W

In scenario B,

P = \dfrac {160 }8 = 20 \rm \ W

In scenario B,

P = \dfrac {200 }{10} = 20 \rm \ W

Therefore, the power in every scenario is the same.

Learn more about Power:

brainly.com/question/1618040

4 0
2 years ago
Read 2 more answers
when the driver of a car applies the brakes a force of 4000N brings the car to a stop over a distance of 50m.calculate the work
Dimas [21]

Answer:

W = F*d

W = 4000*50

W = 200000J

W = 200KJ

4 0
3 years ago
*5. What is the mass number of a magnesium atom, Mg that has 12 neutrons?
elena-s [515]

Answer:

24

Explanation:

24.305 of atomic mass has 12 neutrons

5 0
2 years ago
A circuit consists of a 9.3-mH coil, a 16.0-V battery, a parallel combination of a 19-Ω resistor and a 6.0-Ω resistor, and a swi
Alla [95]

Answer:

τ = 0.00203 seconds

Explanation:

The time constant τ in a R-L circuit is given by

τ = L/R

First we have to find out the equivalent resistance of the circuit.

Since there is a parallel combination of 19 Ω and 6.0 Ω resistor

Req = 19*6/19+6

Req = 4.56 Ω

Now we can find out the time constant

τ = L/R

τ = 0.0093/4.56

τ = 0.00203 seconds

Therefore, the time constant of this circuit is 0.00203 seconds.

8 0
2 years ago
Other questions:
  • In which of the following units is acceleration expressed
    12·1 answer
  • Can 200 watts lift a 100 kg box,and if so how long would it take?
    12·1 answer
  • During World War II, France, the United States, Russia, and Great Britain composed the:
    7·2 answers
  • How can liquid pressure phenomena be used in daily life. Give one example with explanation of working​?
    5·1 answer
  • Bob is pushing a box across the floor at a constant speed of 1.4 m/s, applying a horizontal force whose magnitude is 65 N. Alice
    5·1 answer
  • 3. A force is exerted on a positively-charged particle that moves the particle in the direction opposite to that of an electric
    7·1 answer
  • During a cross-country flight you picked up rime icing which you estimate is 1/2" thick on the leading edge of the wings. You ar
    10·1 answer
  • Analogy: atom is to element as ____ is to compound
    14·1 answer
  • What is the kinetic energy of a bicycle with a mass of 14 kg traveling at a<br> velocity of 3.0 m/s?
    9·1 answer
  • which of the following safety harnesses is the safest and most recommended when hunting from a treestand?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!