(a ) A 14 turns circular coil is placed on a paper which lies in 1.2 T magnetic field pointing inwards to the paper. The coil's diameter changes from 22.5 cm to 7.2 cm in 1.8 s.
(i) Determine the direction of the induced current. .
(ii) Calculate the magnitude of the emf induced in the circuit.
(iii) Calculate the induced current if the circular coil resistance is 7.5 Ω

(b) A circular coil of N turns with current 9.4 mA has an inductance 15 mH. Calculate
(i) magnetic flux linkage through the coil. (ii) radius of the coil if N = 420 turns.​

Answers

Answer 1

(i) The direction of the current will be in opposite direction to the magnetic field.

(ii) The magnitude of the emf induced in the circuit is 0.359 V.

(iii) The induced current if the circular coil is 0.048 A.

b(i) The magnetic flux linkage through the coil is 1.41 x 10⁻⁴ Tm².

b(ii) The radius of the coil is r√3 m.

Direction of the current

The direction of the current will be in opposite direction to the magnetic field.

Emf induced in the circuit

Initial area of the coil = (πd²)/4

Initial area of the coil = (π x 0.225²)/4 = 0.0398 m²

Final area of the coil = (π x 0.072²)/4 = 0.001296 m²

[tex]emf = \frac{NB(A_1 - A_2)}{t} \\\\emf = \frac{14 \times 1.2(0.0398 - 0.001296)}{1.8} \\\\emf = 0.359 \ V[/tex]

Induced current

I = emf/R

I = 0.359/7.5

I = 0.048 A

Magnetic flux linkage through the coil

Ф = LI

Ф = 0.015 x 0.0094

Ф =  1.41 x 10⁻⁴ Tm²

Radius of the coil

[tex]L = \frac{\mu_o N^2\pi r^2}{l} \\\\r^2 = \frac{Ll}{\mu_o N^2\pi } \\\\r = \sqrt{\frac{Ll}{\mu_o N^2\pi } } \\\\r = \sqrt{\frac{0.015(l)}{4\pi\times 10^{-7} \times (420)^2 \pi } } \\\\r = 3 \sqrt{l} \ m[/tex]

where;

l is length of the coil

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Related Questions

( 25 POINTS )There is a light pole on one bank of a small pond. You are standing up while fishing on the other bank. After reflection from the surface of the water, part of the light from the bulb at the top of the pole reaches your eyes. Use a ray diagram to help find a point on the surface of the water from where the reflected ray reaches your eyes.


Determine an expression for the distance from this point on the water to the bottom of the light pole if the height of the pole is H , your height is h , and the distance between you and the light pole is L .

You must answer in terms of these varibles.

Answers

Following the Law of reflection we can assume that the expression for the distance from the point of reflection on the water to the bottom of the light pole is d = (H (L-d)) / h.

What does the Law of Reflection state?

The Law states that the reflection angle -θ₂- of an incident ray on a reflecting surface will be equal to the incidence angle -θ₁- of that ray.

Both angles, the reflection and the incidence one, are measured conserning the normal to the surface.

The law of reflection derives from Fermat's principle and states that the triangle formed between the incident ray and the surface, and the triangle produced by the reflected light and the surface are the same.

In the exposed example, if

H is the height of the pole,h is the height of the person,L the distance from the person to the pole,d is the distance from the pole to the point of reflection,L - d is the distance from the person to the point of reflection.

If,

θ₁ = θ₂

h/L-d = H/d    

Then, the distance from the point of reflection on the water to the bottom of the light pole, d is

d = (H (L-d)) / h

In the atached files you will find the diagram.

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https://brainly.com/question/46881

https://brainly.com/question/12029226

Estimate the average Cp value, in kJ/kg.K of a gas if 522 kJ of heat are necessary to raise the temperature from 300 K to 800 K holding the pressure constant.

Answers

This question involves the concepts of the specific heat, mass, and, temperature.

The average Cp value is "".

SPECIFIC HEAT VALUE

The specific heat of a gas at constant pressure is given by the following formula:

[tex]C_p = \frac{\Delta Q}{m\Delta T}[/tex]

where,

Cp = specific heat = ?ΔQ = heat required = 522 KJΔT = change in temperature = 800 K - 300 K = 500 Km = mass of gas = 1 kg (taking unit mass)

Therefore,

[tex]C_p=\frac{522\ KJ}{(1\ kg)(500\ K)}\\\\C_p=1.044\ KJ/Kg.K[/tex]

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A ray of light is incident on a plane mirror and the angle of reflection is 50 degrees. What is the angle between the incident ray and the normal?

Answers


The angle of incidence is equal to the angle of reflection. As a result, the angle formed by the incidence and reflected rays is 100°.

please press crown next to the repot button

prove that :
Gas enhaled by us is oxygen ..​

Answers

Answer:

=> During the respiration process, the total composition of the air that we breathe in also depends on our surrounding environment.

Let say, the underwater divers inhale air containing more oxygen or helium.

Explanation:

=> The air we breathe: three vital respiratory gases and the red blood cell: oxygen, nitric oxide, and carbon dioxide

=> We breathe in oxygen and some of this carbon dioxide.

Jhen swam 3 complete laps in a 70 meter pool. (1 lap is one length of the pool)

Answers

The total distance covered by Jhen is 210 m and the total displacement is zero (0).

Distance covered by Jhen

The total distance covered by Jhen is calculated as follows;

D = 70 m x 3  (since 1 lap is equal to one length of the pool = 70 m)

D = 210 m

Displacement of Jhen

The displacement of Jhen is the change in the final position and the initial position of Jhen.

After 3 laps, the final position = the initial position

Displacement = 0

Thus, the total distance covered by Jhen is 210 m and the total displacement is zero (0).

The complete question is below:

Find the total distance and displacement of Jhen.

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An object of mass m is oscillating back and forth in simple harmonic motion. The maximum origin, x = 0, and moving in the x direction. Find the following in terms of m, T, and A:(a)The equation of motion of the object, (b)The maximum speed of the object (c)The maximum distance from equilibrium is A, and the period of oscillation is T. At t = 0 the object is at the acceleration of the object.(d)The total energy of the object.​

Answers

Answer:

x = A sin ω  t      equation of motion

max speed = A ω

max distance (max value of x) = A

max KE = 1/2 m V^2 = 1/2 m A^2 ω^2

f (frequency) =  ω / 2 π = 1 / T     or T =  2 π /  ω

ω = 2 π / T     substitute for ω to put in terms of T

Tropical, dry, and polar are types of _______.

A. elevation
B. weather
C. climate zones
D. precipitation

Answers

Answer:

Answer C: Climate Zones

Explanation:

Describing the common conditions someplace is called climate zones

Answer:

c- They are types of climate zones

can someone solve this ?

Answers

Explanation:

calculate the applied force in N.

The main focus of the nervous system is to:

Answers

Answer:

The main focus of the nervous system is to have nerve fibers pass information throughout the body. The nervous system is crucial for keeping our bodies functioning. It is divided into two main parts, the peripheral nervous system, which are the nerves running throughout the body, and the central nervous system, which is the brain and spinal cord. The nervous system communicates signals between body parts and the brain. The nervous system keeps all body parts functioning through these signals.

Explanation:

I hope this helps!

The maximum tension a 0.85 m string can withstand is 63.7 N. A 0.35 kg mass is attached to the string and is being whirled in a horizontal circle. What is the maximum speed of rotation?
154.7 m/s
12.4 m/s
26.2 m/s
5.1 m/s
HELPPPPP ASAPPPP

Answers

I think it would be b

A rock is thrown vertically up and reaches a maximum height of 20m. What was its initial velocity?

Answers

Answer:

Solve it simply,

Vi = 20 m /sec

Vf = 0 ( at max. height)

g = - 9.8 m/ sq. sec. ( -ve sign shows that the motion of the body is in opposite direction to that of gravity)

Height it gains=h = ?

time taken by the body=t=?

Using 3rd equation of kinematics,

2gh=Vf ˄2 – Vi˄2

implies that

h = Vf ˄2 – Vi˄2 / 2a

h = 0˄2 - (20)˄2 / 2(-9.8) = - 400/ -19.6

h = 20.4 m

So the maximum height the body can gain is approximately equal to 20.4 m.

Now , using 1st equation of kinematics:

Vf = Vi + at implies that,

t = Vf - Vi/g = 0 - 20/ - 9.8 = 2.04 sec.

So, it will take 2.04 sec. to get the max. height.

Note: in simple approximation if we take g =- 10 m/ sq.sec then the max. height the body can attain will be 20 m and the time required for it, is 2 sec.

What is the difference between concept formation and symbolism? Use examples to explain your answer.

Answers

Answer:

Another example of concept formation is categorizing different kinds of vegetables, such as peppers, cucumbers, and carrots. Symbolism is placing a symbol to represent an object, idea, or event. Words are symbols of ideas, people, or objects

Explanation:

Another example of concept formation is categorizing different kinds of vegetables, such as peppers, cucumbers, and carrots. Symbolism is placing a symbol to represent an object, idea, or event. Words are symbols of ideas, people, or objects

I need a bit of help please

Answers

Answer:

Merely multiple the mass X gravitational attraction

On earth (F = M a) = 50 kg * 9.8 m/s^2 = 490 N

On the moon 50 kg * 1.6 m/s^2 = 80 N            (apparent weight on moon)

On Mars 50 kg * 3.2 m/s^2 = 160 N

Treat the other item in the same manner.

A 3.8 car is traveling at 19 m/s . What is it's momentum?

Answers

The Momentum Calculator uses the formula p=mv, or momentum (p) is equal to mass (m) times velocity (v).

What is an isotope?

A) Atoms of the SAME element that have different numbers of NEUTRONS.
B) Atoms of DIFFERENT elements that have different numbers of NEUTRONS.
C) Atoms of the same elements that have DIFFERENT numbers of PROTONS.
D) Atoms of the DIFFERENT element that have DIFFERENT numbers of PROTONS.


Please help me!!
:)

10 Points!

Answers

Answer:

A

Explanation:

they are atoms of the same element that have the same number of protons but different number of neutrons.

10. In the 16 Personalities Test, what traits are ranked as the primary function according to type dynamics? O A. Judging and prospecting B. Thinking and feeling C. Sociability and shyness O D. Introversion and extroversion​

Answers

Of the four types of personalities, the traits that are ranked as the primary function according to type dynamics is Judging and prospecting.

What are personality?

Personalities refers to the traits characters and attributes possessed inherently by individuals.

The four groups of personalities using the 16 Personalities Tests are;

Judging and prospectingThinking and feelingSociability and shynessIntroversion and extroversion

Of the four, the traits that are ranked as the primary function according to type dynamics is Judging and prospecting.

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4. Find the period of a pendulum that is 1.2 m long.

Answers

Answer:

2.20 s

Explanation:

[tex]T=2\pi\sqrt\frac{L}{g}=2\pi\sqrt\frac{1.2}{9.8}}[/tex]

T = 2.20 s

Why do fingerprints grow back in the same
pattern if they are destroyed?

Answers

Answer:You can scar your fingerprints with a cut, or temporarily lose them through abrasion, acid or certain skin conditions, but fingerprints lost in this way will grow back within a month. As you age, skin on your fingertips becomes less elastic and the ridges get thicker.

Explanation:

Evaluate the powers of 3 to find each value. What is the value of 3-2 What is the value of 30 What is the value 31 What is the value of 33

Answers

Answer:

3^-2 is 1/9

3^0 is 1

3^1 is 3

3^3 is 27

Answer:

1/9


1


3


27

Explanation:

What happens when you increase the amplitude of a sound? (this is science)

Answers

The sound waves carry more energy, and it sounds louder to a listener.

A horizontal uniform bar of mass 2.5 kg and length 3.0 m is hung horizontally on two vertical strings. String 1 is attached to the end of the bar, and string 2 is attached a distance 0.6 m from the other end. A monkey of mass 1.25 kg walks from one end of the bar to the other.

Required:
Find the tension T1 in string 1 at the moment that the monkey is halfway between the ends of the bar.

Answers

Answer: I am not sure if you wanted me to answer this or not.

Explanation:

The 3 important steps to a perfect forehand in tennis are : perfect swing, type of racket, and correct finish

Question 1 options:
True
False

Answers

Answer:

False

Explanation:

The 3 important steps to a perfect forehand in tennis are Preparation,Backswing and Swing and contact.

Which of the following factors affect the motion of an object? (Select all that apply.)
the mass of the object
the friction involved
the gravity pulling on the object
the amount of force applied to the object

Answers

Answer:

The mass of the object.

The friction involved.

The amount of force applied to the object.

The gravity pulling on the object.

Explanation:

I think that all answers are correct with the right explanation.

the mass is what is pulled on by gravity to determine weight.

friction opposes motion.

gravity pulls everything to the earth's centre

force makes an object to either stop, change direction or increase the velocity of an object depending on the amount.

What is the mass of an atom that has 3 electrons, 3 protons, and 3 neutrons?

9 amu

3 amu

27 amu

6 amu

Answers

The mass of an atom is 6 amu that has 3 electrons, 3 protons, and 3 neutrons.

What is mass number?

The mass number is defined as the total number of protons and neutrons in an atom. It is represented by the letter A. When we sum number of proton and neutron present in an atom we get mass number.

So we can conclude that the mass of an atom is 6 amu that has 3 electrons, 3 protons, and 3 neutrons.

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What patterns related to the Moon do we still have left on our DQB, that we haven’t yet explained?

Answers

Answer:

What patterns can we observe in the sky?

Stars create observable patterns in the form of “dots”, which can be created to make pictures. These are called constellations. The constellations can move in position or location across the sky, but each “piece” in the constellation does not move because stars do not move or change position in relation to other stars.

What are the 12 phases of the moon?

The moon phases in order are new moon, waxing crescent, first quarter, waxing gibbous, full moon, waning gibbous, last quarter, waning crescent.

What pattern does the Moon travel around the Earth?

circular The moon orbits the earth in a nearly circular pattern every 27.3 days. The moon's orbit is tilted approximately 5 degrees off of the path of the plane of the ecliptic (or the path that the sun appears to trace across the sky), and orbits at a distance of almost 240,000 miles from the earth.

What patterns do you notice about the Moon and sun across the sky?

The sun follows the same pattern as the moon; it appears to rise in the east and set in the west. The Sun is Always Shining The sun is always shining, even at night when we cannot see it. The sun follows the same pattern as the moon; it appears to rise in the east and set in the west.

What causes the pattern of the Moon?

One important thing to notice is that exactly one half of the moon is always illuminated by the sun. ... So the basic explanation is that the lunar phases are created by changing angles (relative positions) of the earth, the moon and the sun, as the moon orbits the earth.

Explanation:

here are 8 standard phases of the moon, which is demonstrated in this particular diagram very clearly. There’s the new moon, waxing crescent, first quarter, waxing gibbous, full moon, waning gibbous, third quarter, waning crescent, and then back around to the new moon.

The most obvious patterns of the moon are the phases of the moon, which move in a month-long cycle. Because the moon reflects its light from the sun, only the part of the moon that faces the sun is visible. As the moon revolves around the Earth, its shadow covers part of its surface.

The Moon. In the natal chart, the position of the Moon by sign shows how we emote and respond to our environment, as well as our instinctual habits, especially in our homes and in private. By house, the Moon’s position shows which areas of life we feel the most “at home” or comfortable.

Patterns in the natural and human designed world can be observed, used to describe phenomena, and used as evidence. In the previous lesson, we determined two patterns for the moon: 1) The moon changes shapes. 2) The moon appears to rise, move across the sky, and set. In today's lesson, we focus in on the first pattern-- the moon's phases.

A Bugatti Veyron went from 0 to 60 mph in 2.5 seconds. What is
the mass of the vehicle if the force used to move the car was
10,000 N?

Answers

Bout 1000 ponies to the crank and she will get up and go

what is the total time that the bullet is in contact with the board?

Answers

Answer:

an acceleration of the boy as it passes through the board and be the total time the boy is in contact with the board solution

Why is physics used to study the heat absorbed by the ocean?
A. The ocean is important.
B. Heat is a form of energy.
C. The Sun gives off heat.
D. Physicists mostly study the ocean.

Answers

Answer:

B

Explanation:

It absorbs gases, but also heat energy from the atmosphere, distributes them in its depths and thus slows down changes in the entire Earth system. The amount of energy absorbed by the ocean is therefore also an indication of the total heat absorbed by the planet.

Answer:B

Explanation:

2 point
A circuit has a current of 3.6 A and a resistance of 5.0 2. What is the
voltage applied to the circuit?

Answers

Answer:

Explanation:

Comment

The voltage is governed by Ohm's Law which is E = I * R

Givens

I = 3.6 amperes

R = 5.0 ohms

E = ?

Solution

E = I * R

E = 3.6 * 5

E = 18

Answer: Voltage = 18 Volts.


A 25 kg sled is pulled across a horizontal surface by a 200 N force at a constant velocity. What is the coefficient of friction between the sled and the surface?

Answers

Answer:

0.82

Explanation:

constant velocity.means acceleration a = 0, so net force = 0

F - μmg = ma = 0

so μ = F/(mg) = 200/(25*9.8) = 0.82

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