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
Simora [160]
3 years ago
8

A 9.6 cm diameter circular loop of wire is in a 1.10 T magnetic field perpendicular to the plane of the loop. The loop is remove

d from the field in 0.15 s What is the average induced emf? Draw the loop and field and indicate the direction of the induced current

Physics
2 answers:
Natali5045456 [20]3 years ago
3 0

Answer:

Thus induced emf is 0.0531 V

Solution:

As per the question:

Diameter of the loop, d = 9.6\ cm = 0.096\ m

Thus the radius of the loop, R = 0.048 m

Time in which the loop is removed, t = 0.15 s

Magnetic field, B = 1.10 T

Now,

The average induced emf, e is given by Lenz Law:

e = - \frac{\Delta \phi_{B}}{\Delta t}

e = - \frac{\Delta \phi_{B}}{\Delta t}

where

\phi_{B} = magnetic flux = A\Delta B

where

A = cross sectional area

Also, we know that:

e = - \frac{A\Delta B}{\Delta t}

e = - \frac{\pi r^{2}\times (0 - 1.10)}{0.15}

e = - \frac{\pi \times 0.048^{2}\times (0 - 1.10)}{0.15}

e = 0.0531 V

The sketch is shown in the figure, where I indicates the direction of the induced current.

aivan3 [116]3 years ago
3 0

Answer: <u>emf=0.531 V</u>

Explanation:

Induced EMF is equals to the change in the Magnetic flux per unit change in time.

It is calculated by the Faraday's law which is given mathematically as:

emf=N \times \frac{\Delta (B.A) }{\Delta t} ..................................(1)

where:

  • N= number of turns in looped coil of wire
  • B= magnetic field
  • A= area of the loop formed by the wire
  • t= change in time
  • \Delta= change in the quantity from initial to final state.

<u>Given:</u>

N=1 (since it is a loop not a coil of loops)

Diameter of loop, d = 9.6 cm

B = 1.10 T

{\Delta t}= 0.15 s

<u>Firstly, we find the area of loop:</u>

A= \pi \frac{d^{2}}{4}

A= \pi \frac{(9.6 \times 10^{-2} )^{2}}{4}

A= 7.2382 \times 10^{-3} m^{2}

<u>Putting respective values in eq. (1)</u>

<u>emf=1\times \frac{\Delta (1.10\times 7.2382 \times 10^{-3}) }{0.15}</u>

<u>emf=0.531 V</u>

THe direction of the induced emf is in accordance with the Lenz Law which states that the direction of an induced current is always such as to oppose the cause by which it is produced.

You might be interested in
What is the speed in meters per second of a car that is travelling at 82km/h?
4vir4ik [10]
Divide by 3.6
82/3.6 = 22.8 m/s
5 0
2 years ago
Read 2 more answers
Quinn accelerates her skateboard along a straight path from 0 m/s to 4.0 m/s
umka2103 [35]
  • initial velocity=u=0m/s
  • Final velocity=v=4m/s
  • Time=t=2.5s

\\ \sf\longmapsto Acceleration=\dfrac{v-u}{t}

\\ \sf\longmapsto Acceleration=\dfrac{4-0}{2.5}

\\ \sf\longmapsto Acceleration=\dfrac{4}{2.5}

\\ \sf\longmapsto Acceleration=1.6m/s^2

8 0
2 years ago
What is the function of layer of air trapped under the hovercraft​
aev [14]

Answer:b

Explanation:

3 0
3 years ago
Which statements correctly compare the gravitational force with the electrical force? Check all that apply.
skad [1K]

The statements that correctly compare the gravitational force with the electrical force are the following:

-The gravitational force can be attractive.

-The electrical force can be repulsive.

-The electrical force can be attractive.

-Any two objects experience a gravitational force between them.

9 0
3 years ago
Read 2 more answers
Imagine that you and a friend are discussing your health-related fitness levels. What assessments could you and your friend
Westkost [7]

Answer: In order to help improve your fitness levels you can swim, jog/run, body weight exercises, and a balanced diet. Explain why the greatest benefits to cardiorespiratory fitness come from sustained physical activities like running, walking and cycling.

Explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Auroras occur in the _______. a. troposphere b. stratosphere c. mesosphere d. thermosphere
    9·2 answers
  • Two billiard balls with the same mass undergo a perfectly elastic head-on collision. if one ball's initial speed was 2 m/s, and
    12·1 answer
  • A boy on a skateboard is pushed down the sidewalk by a friend. The skateboard rolls for a while but eventually comes to a stop.
    7·2 answers
  • A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second, while keeping it at a constant
    9·1 answer
  • Which of the following describes the flow of charges through a wire or a conductor?
    15·1 answer
  • Erosion and Weathering can cause changes in earths surface but how does erosion alone changes the earth surface.
    5·1 answer
  • Calculate the potential energy stored in an object of mass 50 kg at a height of 20 m from the ground.
    10·2 answers
  • Differentiate between angular displacement and linear displacement.​
    10·1 answer
  • An astronaut travels to a star system 3.9 lyly away at a speed of 0.90 cc . Assume that the time needed to accelerate and decele
    11·1 answer
  • Camille knows that range of motion is very important. She is designing a weekly exercise program and is not sure where flexibili
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!