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
VikaD [51]
3 years ago
11

You are designing a generator with a maximum emf 8.0 V. If the generator coil has 200 turns and a cross-sectional area of 0.030

m2, what would be the frequency of the generator in a magnetic field of 0.030 T?

Physics
2 answers:
Ivanshal [37]3 years ago
7 0

The frequency of the generator is about 7.1 Hz

\texttt{ }

<h3>Further explanation</h3>

<em>Let's recall </em><em>eletromotive force</em><em> formula for a generator:</em>

\large {\boxed {\varepsilon = NBA\omega \sin (\omega t) }

<em>ε = electromotive force ( V )</em>

<em>B = magnetic field strength (T)</em>

<em>N= number of turns in a coil</em>

<em>A = cross-sectional area ( m² )</em>

<em>ω = angular frequency ( rad/s )</em>

<em>t = time taken ( s )</em>

Let's tackle the problem now !

\texttt{ }

<u>Given:</u>

maximum emf = ε = 8.0 V

number of turns = N = 200 turns

cross-sectional area = A = 0.030 m²

magnetic field strength = B = 0.030 T

<u>Asked:</u>

frequency of the generator = f = ?

<u>Solution:</u>

\varepsilon = NBA\omega \sin (\omega t)

\varepsilon_{max} = NBA\omega

\varepsilon_{max} = NBA(2 \pi f)

f = \varepsilon_{max} \div ( 2\pi NBA )

f = 8.0 \div [ 2\pi (200)(0.030)(0.030) ]

f = 8.0 \div [ 0.36 \pi ]

f = \frac{200}{9 \pi}

f \approx 7.1 \texttt{ Hz}

\texttt{ }

<h3>Learn more</h3>
  • Temporary and Permanent Magnet : brainly.com/question/9966993
  • The three resistors : brainly.com/question/9503202
  • A series circuit : brainly.com/question/1518810
  • Compare and contrast a series and parallel circuit : brainly.com/question/539204

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Magnetic Field

\texttt{ }

Keywords: Magnet , Field , Magnetic , Current , Wire , Unit ,

shutvik [7]3 years ago
4 0

Answer:

7.1 Hz

Explanation:

In a generator, the maximum induced emf is given by

\epsilon= 2\pi NAB f

where

N is the number of turns in the coil

A is the area of the coil

B is the magnetic field strength

f is the frequency

In this problem, we have

N = 200

A=0.030 m^2

\epsilon=8.0 V

B = 0.030 T

So we can re-arrange the equation to find the frequency of the generator:

f=\frac{\epsilon}{2\pi NAB}=\frac{8.0 V}{2\pi (200)(0.030 m^2)(0.030 T)}=7.1 Hz

You might be interested in
Have thick walls<br>Chamaer o the heart<br>which​
yulyashka [42]
I don’t get it explain
5 0
3 years ago
An experiment is designed to see if sleep affects the number of vocabulary words subjects can remember. The dependent variable i
Kaylis [27]

The dependent variable is: <em>"number of vocabulary words subjects can remember"</em>

<h3>Which is the dependent variable?</h3>

In an experiment, we basically see how changing one variable affects another variable.

In this case, the experiment is:

<em>" if sleep affects the number of vocabulary words subjects can remember."</em>

Then the hours of sleep would be the independent variable (the one that the scientist can change) and the number of vocabulary words subjects can remember is the dependent variable (that depends on the independent variable).

So the correct answer is:

<em>"number of vocabulary words subjects can remember"</em>

If you want to learn more about variables:

brainly.com/question/15246027

#SPJ1

7 0
2 years ago
Answer the following. (a) What is the surface temperature of Betelgeuse, a red giant star in the constellation of Orion, which r
bagirrra123 [75]

Answer:

(a) T = 2987.6 k

(b) T = 19986.2 k

Explanation:

The temperature of a star in terms of peak wavelength can be given by Wein's Displacement Law, which is as follows:

T = \frac{0.2898\ x\ 10^{-2}\ m.k}{\lambda_{max}}

where,

T = Radiated surface temperature

\lambda_{max} = peak wavelength

(a)

here,

\lambda_{max} = 970 nm = 9.7 x 10⁻⁷ m

Therefore,

T = \frac{0.2898\ x\ 10^{-2}\ m.k}{9.7\ x\ 10^{-7}\ m}

<u>T = 2987.6 k</u>

(b)

here,

\lambda_{max} = 145 nm = 1.45 x 10⁻⁷ m

Therefore,

T = \frac{0.2898\ x\ 10^{-2}\ m.k}{1.45\ x\ 10^{-7}\ m}

<u>T = 19986.2 k</u>

6 0
2 years ago
The edge of a flying disc with a radius of 0.13 m spins with a tangential speed of 3.3 m/s. The centripetal acceleration of the
Marat540 [252]

Answer:

Centripetal acceleration = 83.77m/s²

Explanation:

<u>Given the following data;</u>

Radius, r = 0.13m

Velocity, v = 3.3m/s

To find centripetal acceleration;

Centripetal acceleration is given by the formula;

Acceleration, a = \frac {v^{2}}{r}

Substituting into the equation, we have;

Centripetal \; acceleration, a = \frac {3.3^{2}}{0.13}

Centripetal \; acceleration, a = \frac {10.89}{0.13}

<em>Centripetal acceleration = 83.77m/s²</em>

<em>Therefore, the centripetal acceleration of the edge of the disc is 83.77 m/s². </em>

5 0
3 years ago
Read 2 more answers
The current flowing through a circuit can be measured by ?
MAXImum [283]
It can be measured by an ammeter.
6 0
3 years ago
Other questions:
  • Which of the following is a mixture?<br><br> A. steel<br> B. water<br> c. oxygen<br> D. gold
    14·1 answer
  • When using the right-hand rule to determine the direction of the magnetic field around a current-carrying wire, the
    7·2 answers
  • The purpose of technology is to solve problems and meet needs. True False
    11·1 answer
  • Consider the waves on a vibrating guitar string and the sound waves the guitar produces in the surrounding air. The string waves
    7·1 answer
  • How does end A of the rod react when the charged ball approaches it after a great many previous contacts with end A? Assume that
    11·1 answer
  • Studies have shown that viewing violent actions in the media __________ the inhibition against performing those actions, especia
    13·2 answers
  • HELP PLEASE ASAP
    9·1 answer
  • 2. Heather and Matthew walk with an average velocity of +0.87 m/s eastward.
    11·1 answer
  • The standard metric unit of volume is the _____.
    14·1 answer
  • Explain why mercury is rarely used in modern thermometers
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!