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
What is the purpose of the wire coil in an electromagnet?
ziro4ka [17]
It is to conduct electricity in the magnet so it has an electric field.

Please BRAINLIEST!
3 0
3 years ago
Which one should be my pfp?
Zepler [3.9K]

Explanation:

I think the third one coz it's so good

7 0
3 years ago
Read 2 more answers
A proton of mass m is at rest when it is suddenly struck head-on by an alpha particle (which consistsof 2 protons and 2 neutrons
antiseptic1488 [7]

Answer:

3/5 v

Explanation:

The computation of speed will the alpha particle have after the collision is shown below:-

In a perfectly elastic the kinetic energy and collision the momentum are considered.

The velocity of the particles defines the below equation:

VA_f=(\frac{m_A-m_B}{m_A+m_B})VA_i+(\frac{2m_B}{m_A+m_B})VB_i

As we know that

VA_i=v

\\VB_i=0

Here, we consider A is the alpha particle and B is the proton and now by the above values we can solve the equation which is below:-

VA_f=(\frac{4m-m}{4m+m})v

\\VA_f=\frac{3m}{5m}v

\\VA_f=\frac{3}{5}v

Therefore the correct answer is \frac{3}{5}v

7 0
3 years ago
Can I please have help
NeTakaya

Answer:

it will usually increase

Explanation:

potato

6 0
2 years ago
An unconformity between two sedimentary layers is classified as a disconformity. <br> true or false
Strike441 [17]

Answer:

hii there

The correct answer is True

Explanation:

Hope it helps

have a nice day :)

3 0
3 years ago
Other questions:
  • When Dr. Hewitt immerses an object in water the second time and catches the water that is displaced by the object, how does the
    12·1 answer
  • What effect does a catalyst have on a system in equilibrium?
    14·1 answer
  • What is the best way to start a summary paragraph
    6·2 answers
  • If the decomposition of hydrogen peroxide is a first order reaction and it takes 20.0 minutes for the initial concentration to f
    6·1 answer
  • Humans have existed for about 106 years, whereas the universe is about 1010 years old. If the age of the universe is defined as
    11·1 answer
  • A long solenoid (diameter = 5.0 cm) is wound with 960 turns per meter of thin wire through which a current of 300 mA is maintain
    15·1 answer
  • What is the magnitude of an electric field in which the electric force it exerts on a proton is equal in magnitude to the proton
    10·1 answer
  • For a constant resistance, how is the voltage related to the current?
    15·2 answers
  • Two students go to play basketball. They notice the ball is flat (it won't bounce). They decide to pump it up with air. After it
    9·1 answer
  • What is overtraining?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!