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
7. Which best describes the energy change th pushes a large rock down a hill?
svlad2 [7]

Answer:

B

Explanation:

Gravitational Energy is the energy of position or place. A rock resting at the top of a hill contains gravitational Potential energy. Hydropower, such as water in a reservoir behind a dam, is an example of gravitational potential energy.

6 0
2 years ago
Read 2 more answers
In a series circuit what effect will adding more resistors to the circuit have
zhuklara [117]

Answer:In a series circuit, adding more resistors increases total resistance and thus lowers current. But the opposite is true in a parallel circuit because adding more resistors in parallel creates more choices and lowers total resistance. If the same battery is connected to the resistors, current will increase.

Explanation:

8 0
3 years ago
What is the capacity limitation of short-term memory?
azamat

D: about seven unrelated items

5 0
3 years ago
PLEASE HELP!!! which of these would represent the force of gravity?
Vladimir [108]
Force D.
Gravity points downward.
6 0
3 years ago
Read 2 more answers
How might you determine experimentally the moment of inertia of an irregularly shaped body about a given axis?
Alex73 [517]

Answer:

Using the parallel axis theorem

Explanation:

We note the angular speed and also the systems energy. Using these information we calculate the moment of inertia of irregular shaped body.

Io = 2E/w²

When we have moment of inertia of irregular shaped body, we can then use parallel axis theorem to solve for the moment of inertia of the body about the given axis.

I = Io + md²

4 0
2 years ago
Other questions:
  • Astronaut A can cover 10 meters per minute walking with the heavy shovel. What does
    9·1 answer
  • Explain the advantages and disadvantages of using concentric circles in describing the solar system to an elementary school chil
    9·1 answer
  • What part of the electromagnetic spectrum do you think is most important and why?
    7·2 answers
  • A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the e
    15·1 answer
  • Using a cathode ray tube, Thomson confirmed that
    10·2 answers
  • Which scale is being described? Water freezes at 32 . Water freezes at 0 . Water freezes at 273 .
    14·2 answers
  • A scientific law
    7·1 answer
  • Suppose the total momentum of two masses before a collision is 100 kg m/s. What is the total momentum of the two masses after th
    13·1 answer
  • Anybody wanna help? (Picture Included?)
    15·1 answer
  • What would happen if you use a thicker wire around the iron nail of an electromagnet? (thats the whole question)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!