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
Allisa [31]
3 years ago
8

For a long ideal solenoid having a circular cross-section, the magnetic field strength within the solenoid is given by the equat

ion B(t) = 5.0t T, where t is time in seconds. If the induced electric field outside the solenoid is 1.1 V/m at a distance of 2.0 m from the axis of the solenoid, find the radius of the solenoid.
Physics
2 answers:
Contact [7]3 years ago
5 0

Answer:

The radius of the solenoid is 0.94 meters.

Explanation:

It is given that,

The magnetic field strength within the solenoid is given by the equation as :

B(t)=0.5t\ T

Where

t is the in seconds

The induced electric field outside the solenoid is, \epsilon=1.1\ V/m

Distance, d = 2 m from the axis of the solenoid

To find,

The radius of the solenoid.

Solution,

B(t)=0.5t\ T

\dfrac{dB}{dt}=5\ T

The expression for the induced emf is given by :

\epsilon=\dfrac{d\phi}{dt}

\phi = magnetic flux

The electric field due to changing magnetic field is given by :

\epsilon(2\pi x)=\dfrac{d(BA)}{dt}

\epsilon(2\pi x)=\pi r^2\dfrac{d(B)}{dt}

r^2=\dfrac{2\epsilon x}{dB/dt}

r^2=\dfrac{2\times 1.1\times 2}{5}

r = 0.9380 m

or

r = 0.94 meters

So, the radius of the solenoid is 0.94 meters. Hence, this is the required solution.

andrezito [222]3 years ago
4 0

Answer:

Radius of the solenoid is 0.93 meters.

Explanation:

It is given that,

The magnetic field strength within the solenoid is given by the equation,

B(t)=5t\ T, t is time in seconds

\dfrac{dB}{dt}=5\ T

The induced electric field outside the solenoid is 1.1 V/m at a distance of 2.0 m from the axis of the solenoid, x = 2 m

The electric field due to changing magnetic field is given by :

E(2\pi x)=\dfrac{d\phi}{dt}

x is the distance from the axis of the solenoid

E(2\pi x)=\pi r^2\dfrac{dB}{dt}, r is the radius of the solenoid

r^2=\dfrac{2xE}{(dE/dt)}

r^2=\dfrac{2\times 2\times 1.1}{(5)}

r = 0.93 meters

So, the radius of the solenoid is 0.93 meters. Hence, this is the required solution.

You might be interested in
Please help me with these 2 questions :D
Pepsi [2]

Answer:

Explanation:

1- incident ray

2- the substance through which the wave travels

7 0
3 years ago
Read 2 more answers
Find the angular momentum of a hollow spinning sphere when its angular speed is 20rad/s. The rotational inertia of the sphere is
zysi [14]

Answer:

L= 0.4 kgm²/s

Explanation:

The angular momentum of a hallow spinning sphere is

L = Iω

L = (0.02kgm²) × (20rad/s)

L= 0.4kgm²/s

5 0
3 years ago
A wild pig attacks a hunter with a velocity of 5 m/s. At the instant when the pig is at a distance of 100 m the hunter shoots an
castortr0y [4]

Answer:

31.55 m/s

Explanation:

Let the initial velocity of the arrow is u metre per second.

Angle of projection, θ = 40 degree

range = 100 m

Use the formula for the range.

R = \frac{u^{2}Sin2\theta }{g}

100 = u^2 Sin(2 x 40) / 9.8

100 x 9.8 = u^2 Sin 80

u^2 = 995.11

u = 31.55 m/s

4 0
3 years ago
Before using wind energy to produce electricity, humans used wind energy to produce PLEASE ANSWER QUICKLY
topjm [15]

Answer:

Water

Explanation:

windmills were used to bring water to farms in ancient times.

8 0
3 years ago
For this problem, imagine that you are on a ship that is oscillating up and down on a rough sea. Assume for simplicity that this
ikadub [295]

Answer:

no idea

Explanation:

7 0
3 years ago
Other questions:
  • What is newstons 2nd law
    8·2 answers
  • Difference between potential energy and kinetic energy (ASAP)
    13·1 answer
  • Which of these phrases would go in the overlap? Check all that apply.
    14·2 answers
  • During a golf drive, the angular velocity of the driver is 20 rad/s just before impact with the golf ball. If the distance from
    6·1 answer
  • A tennis racket hits a tennis ball with a force of F=at−bt2, where a = 1200 N/ms , b = 370 N/ms2 , and t is the time (in millise
    5·1 answer
  • Conclusions related to historical events are limited to subjective evaluation of the existing evidence because _____.
    14·1 answer
  • Choose a sport you like, such as football or track Describe how a high level of flexibility would affect your performance in tha
    8·2 answers
  • Notación científica de 55,000m
    5·2 answers
  • Which of the following is a term for the process of rock being broken down into pieces by wind or moving water?
    7·2 answers
  • How does science involve creativity
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!