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]
2 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]2 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]2 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
A hollow spherical shell has mass 8.20 kg and radius 0.220 m. It is initially at rest and then rotates about a stationary axis t
Likurg_2 [28]

Answer:

8.91 J

Explanation:

mass, m = 8.20 kg

radius, r = 0.22 m

Moment of inertia of the shell, I = 2/3 mr^2

                                                    = 2/3 x 8.2 x 0.22 x 0.22 = 0.265 kgm^2

n = 6 revolutions

Angular displacement, θ = 6 x 2 x π = 37.68 rad

angular acceleration, α = 0.890 rad/s^2

initial angular velocity, ωo = 0 rad/s

Let the final angular velocity is ω.

Use third equation of motion

ω² = ωo² + 2αθ

ω² = 0 + 2 x 0.890 x 37.68

ω = 8.2 rad/s

Kinetic energy,

K = \frac{1}{2}I\omega ^{2}

K = 0.5 x 0.265 x 8.2 x 8.2

K = 8.91 J

6 0
2 years ago
8. Semiconductors
Andreas93 [3]

do not obey ohm's law so it's a I believe

5 0
3 years ago
A spherical gas-storage tank with an inside diameter of 9 m is being constructed to store gas under an internal pressure of 1.50
lutik1710 [3]

Answer: 33 mm

Explanation:

Given

Diameter of the tank, d = 9 m, so that, radius = d/2 = 9/2 = 4.5 m

Internal pressure of gas, P(i) = 1.5 MPa

Yield strength of steel, P(y) = 340 MPa

Factor of safety = 0.3

Allowable stress = 340 * 0.3 = 102 MPa

σ = pr / 2t, where

σ = allowable stress

p = internal pressure

r = radius of the tank

t = minimum wall thickness

t = pr / 2σ

t = 1.5*10^6 * 4.5 / 2 * 102*10^6

t = 0.033 m

t = 33 mm

The minimum thickness of the wall required is therefore, 33 mm

6 0
3 years ago
A greenhouse is an example of a(n) __________________________________. Question 7 options: active solar energy system. biomass g
Ray Of Light [21]
An Active solar energy system because it uses the sun to heat up the green house an I’m return the plants grow an produce food
8 0
2 years ago
Here's a basketball problem: A 87.2 kg basketball player is running in the positive direction at 7.0 m/s. She is met head-on by
Ray Of Light [21]

Answer:

2.47 m/s backwards

Explanation:

From the law of conservation of momentum,

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂...................... Equation 1

Where m₁ and m₂ = mass of the first basketball player and second basket ball player respectively, u₁ and u₂ = initial velocity of the first basket player and the second basketball player respectively, v₁ and v₂ = The final velocity of the first basket ball player and second basket ball player respectively.

Making v₁ the subject of the equation,

v₁ = (m₁u₁ + m₂u₂ - m₂v₂)/m₁.......................... Equation 2.

Given: m₁ = 87.2 kg, m₂ = 102.0 kg, u₁ = 7.0 m/s, u₂ = -5.2 m/s, v₂ = 2.9 m/s

Note: u₂ is negative because it moves towards the first basket ball player.

Substitute into equation 2

v₁ = [87.2(7.0)+102(-5.2) - (102×2.9)]/87.2

v₁ = (610.4-530-295.8)/87.2

v₁ = -215.4/87.2

v₁ = -2.47 m/s.

Thus the velocity of the 87.2 kg player = 2.47 m/s backwards.

7 0
3 years ago
Other questions:
  • PLZ ANSWER ASAP
    13·1 answer
  • Which of the following is the best definition of viscosity? A. the tendency of a fluid to support a floating object B. the abili
    13·2 answers
  • Does the sun sun traces shortest path across local sky on june solstice
    12·1 answer
  • In the diagnostic radiology energy range (which includes mammography) from 23 to 150 kVp, which of the following tissues possess
    5·1 answer
  • Long wavelength corresponds to having _________frequency
    6·2 answers
  • Calculate the true mass (in vacuum) of a piece of aluminum whose apparent mass is 4.5000 kgkg when weighed in air. The density o
    5·1 answer
  • The small metal cylinder has a mass of 0.20 kgkg, the coefficient of static friction between the cylinder and the turntable is 0
    9·1 answer
  • Which of the following is a major way in which oceans contribute to weather systems?
    11·1 answer
  • What is the unit of velocity ratio and mechanical advantage and why​
    15·1 answer
  • A block of weight 1200N is on an incline plane of 30° with the horizontal, a force P is applied to the body parallel to the plan
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!