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
ahrayia [7]
2 years ago
15

A flat, circular, steel loop of radius 75 cm is at rest in a uniform magnetic field, as shown in an edge-on view in the figure (

Figure 1). The field is changing with time, according to B(t)=(1.4T)e^−(0.057s^−1)t.
a) Find the emf induced in the loop as a function of time (assume t is in seconds).
b) When is the induced emf equal to 110 of its initial value?
c) Find the direction of the current induced in the loop, as viewed from above the loop.

Physics
1 answer:
SIZIF [17.4K]2 years ago
4 0

The solution to the questions are given as

  • t=40.39 \mathrm{sec}
  • \varepsilon &=(0.12v)e^{0.057t}
  • the direction of induced current will be Counterclock vise.

<h3>What is the direction of the current induced in the loop, as viewed from above the loop.?</h3>

Given, $B(t)=(1.4 T) e^{-0.057 t}$

$\varepsilon m f(\varepsilon)=-\frac{d \phi_{B}}{d t}

\quad$ and, $\phi_{B}=\int B \cdot d A=\int B \cdot d A \cdot \cos \theta$

\begin{aligned}\text { Here, } \theta &=30^{\circ} ; \\A &=\pi r^{2} \\a n \delta, R &=0.75 \mathrm{~m} \\\therefore \varepsilon &=-\frac{d}{d t}(B A \cdot \cos \theta)=-A \cdot \cos \theta \cdot \frac{d}{d t}(B(t)) \\\therefore \varepsilon &=-\pi R^{2} \cdot \cos \theta \cdot \frac{d}{d t}\left(e^{-0.057 t}\right)(1.4 T) \\\therefore \varepsilon &=+\pi(0.75)^{2} \cdot \cos 30 \cdot(0.057)(1.4) \cdot e^{-0.057 t}\left\{\because \frac{d}{d t} e^{-x}=-x \cdot e^{-x} .\right.\end{aligned}

\varepsilon &=(0.12v)e^{0.057t}

(b) Here, $\varepsilon_{0}=0.12 \mathrm{~V} \quad\left(a t_{2} t=0 \mathrm{sec}\right)$

\begin{aligned}&\therefore 1 . \varepsilon_{0}=\varepsilon_{0} \cdot e^{-e .057 t} \\&\therefore e^{0.057 t}=10 \quad \text { (taking log both thesides) } \\&\therefore 0.057 t=\ln (10)=2.303 \\&\therefore t=40.39 \mathrm{sec}\end{aligned}

c)

In conclusion, the direction of the induced current will be Counterclockwise.

Read more about current

brainly.com/question/13076734

#SPJ1

You might be interested in
(02.09 MC) An object starts at rest. Its acceleration over 30 seconds is shown in the graph below: An acceleration versus time g
Irina-Kira [14]

Answer:

c. 60 m/s

Explanation:

As you can see in the graph, or the description of the graph, the change in speed since the acceleration at 20 seconds was 0 will be all the acceleration that we added up after that second, since we accelerated at 6 m/s until 30 seconds, that means that the object remained 10 seconds accelerating at 6m/s, so 10seconds times 6 m/s that is 60 m/s in the change in speed between the 20th second and the 30th second.

3 0
3 years ago
Read 2 more answers
Identify the energy transformations in the image below:
zvonat [6]

Answer:

B

Explanation:

Electrical to Radiant.

I think

4 0
2 years ago
A locomotive with two carriages drives out of the station. The locomotive has a mass of 3.0 tonnes, and each of the two wagons h
scZoUnD [109]

Answer:

c) Calculate the magnitude of the forces acting on the middle carriage during acceleration.

This is the answer of this question ok.

3 0
3 years ago
3. A 64 lb weight stretches a spring 4 ft in equilibrium. The weight is initially displaced 6 inches above equilibrium and given
Damm [24]

Answer:

Explanation:

the solution is given in the attached pictures

6 0
3 years ago
If a hockey player starts from rest and accelerates at a rate of 2.1 m/s², how long does it take him to skate 30 m?
Vlada [557]

Answer:

its A i think im not sure tho

Explanation:

5 0
3 years ago
Other questions:
  • This is may mastering physics homework and I just need help solving the question.
    8·1 answer
  • Can anyone solve this for me?? I need help ASAP!!
    13·1 answer
  • What is the english system of measurement called?
    12·1 answer
  • What speed must an electron have if its momentum is to be the same as that of an x-ray photon with a wavelength of 0.20 nm?
    10·1 answer
  • How much thermal energy is Generated?
    9·2 answers
  • For a neutral object, how many electrons must transfer to make a net charge of -2?
    12·1 answer
  • WILL GIVE BRAINLIEST!
    5·2 answers
  • Substance Specific Heat (1 kg"K"
    13·2 answers
  • Following through when hitting a baseball
    7·1 answer
  • La taille d'un molécule d'eau est 0,4nm
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!