Two coils of wire are placed close together. Initially, a current of 3.03 A exists in one of the coils, but there is no current in the other. The current is then switched off in a time of 3.03 x 10-2 s. During this time, the average emf induced in the other coil is 4.13 V. What is the mutual inductance of the two-coil system

Answers

Answer 1

Answer:

4.13 ×10^-2 H

Explanation:

mutual inductance of the two-coil system can be calculated using below expression

mutual inductance = (- E Δt)/ ΔIp

Where E= average emf induced

Δt= time

ΔIp= change in current

ΔIp=( 0s - 3.03 A)

Δt=3.03 x 10-2 s.

If we substitute the values into above expresion, we have,

E= 4.13 V.

mutual inductance = (- E Δt)/ ΔIp

= - (4.13 V × 3.03 x 10^-2 s.)/ ( 0s - 3.03 A)

= 4.13 ×10^-2 H

Hence, the mutual inductance of the two-coil system is 4.13 ×10^-2 H


Related Questions

The force of friction depends upon​

Answers

Answer:

ask internet?

Explanation:

easy .....

..

Friction depends partly on the smoothness of the contacting surfaces, a greater force being needed to move two surfaces past one another if they are rough than if they are smooth.
Therefore, friction depends on the smoothness or roughness of the two surfaces which are in contact.

Rupert is investigating the properties of a light (effectively massless) spring. He has attached one end of the spring to a fixed horizontal rod and allowed the spring to hang vertically. The free end of the spring has a small hook to which Rupert can attach various masses. An Experiment to Determine the Spring Constant Part A Rupert finds that if he attaches a 470.0 gram mass to the hook, and then very slowly lowers the mass with his hand until the force on the mass by the spring is as large as the weight of the mass, that the spring stretches by 36.0 cm . What is the spring constant of Rupert's spring

Answers

Answer:

Explanation:

For equilibrium ,

weight of mass 470 gram = restoring force in spring

If x be extension in spring and k be spring constant

restoring force = kx

weight of mass = kx

.47 x 9.8 = k x .36

k = 12.8 N /m.

10. A 50 kg bicyclist on a 10 kg bicycle speeds up from 5.0 m/s to 10 m/s.
(a) What was the total kinetic energy before accelerating? Full working out​

Answers

Answer:

T.K.E = 750 Joules.

Explanation:

Given the following data;

Initial velocity, u = 5m/s

Final velocity, v = 10m/s

Mass of bicyclist = 50kg

Mass of bicycle = 10kg

Total mass, Tm = 50 + 10 = 60kg

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}mv^{2}[/tex]

Where;

K.E represents kinetic energy measured in Joules.

m represents mass measured in kilograms.

v represents velocity measured in metres per seconds square.

To find the total kinetic energy before accelerating simply means the kinetic energy due to the initial velocity and total mass;

[tex] T.K.E = \frac{1}{2}T_{m}U^{2}[/tex]

Substituting into the equation, we have;

[tex] T.K.E = \frac{1}{2}*60*5^{2}[/tex]

[tex] T.K.E = 30*25 [/tex]

T.K.E = 750 Joules.

Outline 3 disadvantages and advantage of water and alcohol as a template liquid​

Answers

Answer:

Advantages of mercury as a thermometric liquid.

-It is a good conductor of heat and therefore the whole liquid reaches the temperature of the surroundings quickly.

-It does not wet (cling to the sides of) the tube.

-It has a high boiling point

-It expands uniformly (linear expansion) and responds quickly to temperature changes, hence is sensitive.

-It has a visible meniscus.

Disadvantages

-Mercury is very poisonous.

-its expansively is fairly low

-it is expensive

-It has a high freezing point therefore it cannot be used in places where the temperature gets very low.

Alcohol has a thermometric fluid

-Alcohol expands uniformly.

-It has a low freezing point (-115 degreecentigrade) therefore it is very suitable for place where the temperature gets very low.

-It has a large expansively

-It is an easily available cheap liquid, which is safe to use

Disadvantages of alcohol

-it wets the tube

-it has a low boiling point (cannot be used in places with high temperatures)

-it does not react quickly to changes in temperature

-It needs to be dyed, since it's colourless.

Disadvantages of water

-Water has high specific heat capacity. So it cannot be used for measuring small temperature differences.

- Water will wet the surface of the glass tube. It is a sticky substance.

- Water is transparent

Explanation:



PLEASE HELP!!!


Thunder is a sound wave created

by a lightning strike. If it travels at

343 m/s, how much time does it

take to travel a mile (1610 m)?

(Unit = s)

Answers

Answer:

t = 9.38 s

Explanation:

Given that,

The speed of the sound wave, v = 343 m/s

Distance, d = 1610 m

We need to find the time taken to travel a mile. The distance traveled by the sound is 2d. Using the formula for speed,

[tex]v=\dfrac{2d}{t}[/tex]

t is the time taken to travel a mile

So,

[tex]t=\dfrac{2d}{v}\\\\t=\dfrac{2\times 1610}{343}\\\\t=9.38\ s[/tex]

So, it will take 9.38 seconds.

Answer:

4.69s

Explanation:

The formula to find time is time = distance / velocity

Plug the numbers into the formula

So

1610 / 343

= 4.69s

A sound having a frequency of 299 Hz travels through air at 332 m/s.
What is the wavelength of the sound? Answer in units of m.

Answers

Answer:

1.11 m.

Explanation:

Why?

The speed for a wave is done by the equation:   v = f * w. Because the frecuency tells us about how many cycles the wave makes each time, but for each cycle the wave runs certain distance, given for the wavelenght. If you isolate the letter w you get the value just doing a ratio.

v = speed

f = frecuency

w = wavelenght

w = v / f

How to explain third law when a boat is moving away from a paddock when a women’s feet is on the paddock and the boat

Answers

Answer:

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. When the man jumps from a boat, he applies force on the boat due to which boat moves backward. An equal force is exerted by the boat on the man which helps the man to jump out of the boat.

The work done per unit volume is?

Answers

Answer:

hahsbahbavbsbsbaba avabshshshbabahsjsjajajjajajjajjaja

Work done per unit volume = total work done/ total volume, V =

27. The electric field around a positive charge is shown in the diagram. Describe the nature of these lines. Please use 2 content related sentences

Answers

Answer:

Once we place a positive test at a point close to the sphere, we find that an electrostatic force is applied to the outside of the sphere. Therefore, at any point around the sphere, the electric field vector is radially outward.

Rank the following circuits in order from highest to lowest values of the current in the circuit.

i. a 1.4-Ω resistor connected to a 1.5-V battery that has an internal resistance of 0.10 Ω;
ii. a 1.8-Ω resistor connected to a 4.0-V battery that has a terminal voltage of 3.6 V but an unknown internal resistance;
iii. an unknown resistor connected to a 12.0-V battery that has an internal resistance of 0.20 Ω and a terminal voltage of 11.0 V.

a. (i), (iii), (ii)
b. (iii), (i), (ii)
c. (ii), (iii), (i)
d. (i), (ii), (iii)
e. (iii), (ii), (i)
f. (ii), (i), (iii)

Answers

Answer:

e)

Explanation:

Let's get first the values of the currents for the three cases.

i)

The battery forms a series circuit with its internal resistance and the 1.4 Ω resistor. Since the current is the same at any point of the circuit, and the sum of all voltages along a closed circuit must be zero, we can apply Ohm's Law in each resistor, as follows:

        [tex]V = I*r_{i} + I*R_{1} (1)[/tex]

Replacing V, ri and R₁ by their values, we can solve for the current I as follows:

      [tex]I_{i} = \frac{V}{r_{int} + R_{i}} = \frac{1.5V}{0.1 \Omega + 1.4 \Omega} = 1.0 A (2)[/tex]

ii)

Since the voltage of the battery is 4.0 V (open circuit voltage), and it falls to 3.6 V when is connected to a 1.8Ω resistor, this means that the voltage through the resistor must be 3.6 V, due to the sum of all voltages along a closed circuit must be zero.So, we can find the current through the circuit, applying Ohm's Law to the 1.8Ω resistor, as follows:

       [tex]I_{ii} =\frac{V_{term} }{R_{ii} } =\frac{3.6V}{1.8 \Omega} = 2.0 A (3)[/tex]

iii)

Since the 12.0 V battery has a terminal voltage of 11.0 , this means that the voltage through the internal resistance of 0.2 Ω, must be 1.0 V.So we can find the current Iiii, applying Ohm's Law to the internal resistance value, as follows:

      [tex]I_{iii} =\frac{V-V_{term}}{r_{int} } =\frac{12.0 V- 11.0 V}{0.2 \Omega} =\frac{1.0V}{0.2\Omega} = 5.0 A (4)[/tex]

So, the highest current is the Iiii, followed by Iii and Ii, which is stated by e).

A car starting from rest is accelerated uniformly to a velocity of 100.8km/h. Convert this to metre per secondphy​

Answers

Explanation:

100.8 km/h × (1000 m/km) × (1 h / 3600 s) = 28 m/s

Answer:

28 m/s

Explanation:

100.8km/hr * 1hr/3600sec* 1000m/km= 100.8*1000/3600 m/s

3. Which of the following processes provides the water necessary for human consumption?
O precipitation
O evaporation
O sublimation
O perspiration

Answers

Answer:

precipitation is the answer..

Explanation:

precipitation is any product of the condensation of atmospheric water vapor that falls under gravitational pull from clouds. The main forms of precipitation include drizzling, rain, sleet, snow, ice pellets, graupel and hail.

Precipitation, didn’t we all learn this in like 4th or 5th grade?

A 70 ft rope hangs from a helicopter above this room. The rope has a mass per unit length of 2 lb/ft. In order to be rescued from this exam the helicopter must pull you up and out of the room to safety. Assume that you weigh 120 lbs. How much work will it take get you safely away from this test

Answers

Answer:

The work done to get you safely away from the test is  2.47 X 10⁴ J.

Explanation:

Given;

length of the rope, L = 70 ft

mass per unit length of the rope, μ = 2 lb/ft

your mass, W = 120 lbs

mass of the 70 ft rope  = 2 lb/ft x 70 ft

                                         = 140 lbs.

Total mass to be pulled to the helicopter, M = 120 lbs  + 140 lbs  

                                                                       = 260 lbs

The work done is calculated from work-energy theorem as follows;

W = Mgh

where;

g is acceleration due gravity = 32.17 ft/s²

h is height the total mass is raised = length of the rope = 70 ft

W = 260 Lb x 32.17 ft/s²  x 70 ft

W = 585494 lb.ft²/s²

1 lb.ft²/s² = 0.0421 J

W = 585494 lb.ft²/s²  = 2.47 X 10⁴ J.

Therefore, the work done to get you safely away from the test is  2.47 X 10⁴ J.

Identify equivalent terms for stored energy and energy of motion.
a. Stored energy is potential energy, and energy of motion is kinetic energy.
b. Energy of motion is potential energy, and stored energy is kinetic energy.
c. Stored energy is the potential as well as the kinetic energy of the system.
d. Energy of motion is the potential as well as the kinetic energy of the system.

Answers

Answer:

a. Stored energy is potential energy, and energy of motion is kinetic energy

Explanation:

The correct option is - a. Stored energy is potential energy, and energy of motion is kinetic energy.

Reason -

Potential energy is stored energy, whereas kinetic energy is the energy of moving things.

Kinetic energy is energy possessed by an object in motion.The energy associated with position is called potential energy .

Four blocks, each with the same volume, are submerged in a vat of oil. Which of the blocks will have have the largest buoyant force?
A: .5 kg styrofoam block
B: 5 kg lead block
C: 2 kg aluminum block
D: 4 kg steel block
E: All have the same buoyant force
​​

Answers

the answer is d . i took the test last week

Can you help me please here is the picture DUE NOW PLEASE.

Answers

they are formed when hot

it's dependent on the rate of cooling of the melt, slow cooling allows large crystals to form, fast cooling yields small crystals. They cool too quickly to form crystals.

Hope this helps! <3 :3

1. Why is the flow of electrons from A to B?
2. What's the difference between flow of current & flow of electrons and why ar they opposite? ​

Answers

1. because A is more negative than B. A is -1000 V (we can imagine that A has excess 1000 electrons), in other, B which +3000 V can be assume that B need 3000 elctrons to be neutral. So, the electron will flow from A to B.

2. Electrons being negatively charged flow from the negative terminal to the positive terminal of the voltage source. So, the actual direction of current should be from negative to positive terminal. However, the conventional direction had already been established. So, the current flow is considered in the direction opposite to the direction of flow of electrons. (from topperlearning dot com)

what causes moon phases, rotation or revolution

Answers

Answer:

The Moon's monthly

cycle of phases

results from the

changing angle of

its illumination by the Sun.

Because its period of

revolution is the same as its

period of rotation, the Moon

always keeps the same face

toward Earth.

Within which type of system is the total energy conserved?

A. Isolated
B. Connected
C. Closed
D. Open

Answers

The total energy is conserved within isolated system.

How is energy conserved in an isolated system?

In an isolated system, there is no exchange of matter or energy with the surroundings. Therefore, the total energy within the system remains constant, meaning that energy is conserved within the system.

In contrast, in an open system, there can be an exchange of both matter and energy with the surroundings, so the total energy within the system is not necessarily conserved.

In a closed system, there can be an exchange of energy but not matter, so the total energy within the system is conserved as long as there is no work being done by or on the system. In a connected system, the term is not commonly used in the context of energy conservation.

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Which phrase best completes the diagram?

Role of the Federal Reserve in the U.S. economy:

Sets interest rates➡️?➡️Loans money to other banks

A. Approves the federal budget.
B. Votes on coporate regulations.
C. Sets the consumer price index.
D. Makes rules for other banks.

Correct answer is:

D. Makes rules for other banks.​

Answers

Answer:

B

Explanation:

i think

Answer:

D. makes rules for other banks

Explanation:

A barrel contains 285 kg of water.
What is the volume of the water?
(Unit = m^3)

Answers

Answer:

285 Litre ( 1kg of water occupies 1 Litre )

which is identical to 285 dm^3 ie 285 cubes of length 10 cm

and as there are 10 of these linearly in 1 m then there are 10^3 = 1000 dm^3 in each m^3

giving a volume of 0.285 m^3

Of course if you KNEW that 1m^3 of water has a mass of 1000 kg then you would simply have said that the volume was 285/1000 m^3

The volume of the water will be  0.285 [tex]m^{3}[/tex]

What is volume ?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes. Volume is the measure of the capacity that an object holds.

A method in which the value of the unit (one) quantity is first obtained to find the value of any required quantity is called the unitary method. So , by finding the value volume of 1 kg water , we can find the volume of 285 kg water by simply multiplying it with the volume of 1kg water using unitary method

using unitary method

1000 kg of mass have volume of = 1[tex]m^{3}[/tex]

then , the volume of 1kg  will be = 1 / 1000  [tex]m^{3}[/tex]  

The volume of 285 kg will be =  (1 / 1000) * 285 = 0.285 [tex]m^{3}[/tex]

Hence if a barrel contains 285 kg of water, then the volume of the water will be  0.285 [tex]m^{3}[/tex]

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The gravitational strength at the poles is greater than the gravitational strength at the equator. What will happen to an object when it moves from the poles to the equator? Group of answer choices A. Its mass will increase. B. Its mass will decrease. C. Its weight will increase. D. Its weight will decrease.

Answers

Answer:

C

Explanation:

Because this same question was on my test last week and I got it correct

A car of mass 1800 kg can be just be lifted. What is the least force that the electromagnet must use to lift the car? (1 g = 10 N/kg)

Answers

Answer:

f=a×m

m=1800kg

1800000g×10N/kg

18000000N force is required to life the car

Consider the following water circuit: water is continually pumped to high pressure by a pump, and then funnelled into a pipe that has lower pressure at its far end (else the water would not flow through the pipe) and back to the pump. Two such circuits are identical, except for one difference: the pipes in one circuit have a larger diameter than the pipes in the other circuit. Through which circuit is the flow of water greater

Answers

Answer:

The circuit with the larger diameter pipes will have higher water flow.

Explanation:

The flow rate can be calculated with this formula, [tex]Q = v.A[/tex] , where [tex]v[/tex] is the velocity of the water flow and [tex]A[/tex] is the cross-sectional area of the pipe. Considering the two circuits are identical except only for the diameter of the pipes, the flow of water will be greater through the circuit with the larger diameter pipes. It will be proportional with respect to the square of the pipe's diameter.

I hope this answer helps.

What could you do to increase the electric potential energy between two
negatively charged particles by a factor of 16?
O A. Increase the charge of one particle by a factor of 4.
B. Reduce the charge of one particle by a factor of 4.
C. Increase the charge of one particle by a factor of 16.
O D. Reduce the charge of one particle by a factor of 16.

Answers

Answer: Increase the charge of one particle by a factor of 16

Explanation:Just took the quiz

Answer:

C. Increase the charge of one particle by a factor of 16.

g A nucleus of mass M (given) at rest emits an alpha particle. The kinetic energy of the alpha particle is K1 (given). The mass of the alpha particle is given (m1) and the mass of the daughter nucleus is also given (m2). a) write the nuclear reaction equation; b) express the kinetic energy of the daughter nucleus in terms of the given quantities c) express the Q factor of this reaction in terms of the given quantities.

Answers

Answer:

Following are the responses to the given question:

Explanation:

In point a:

Nucleus denoting, he refers to those same nuclei of the helium ( that is alpha particle)

[tex]{z}^{N^{A}}\to z-2^{N^{A-4}} + 2^{He^{4}}[/tex]

In point b:

Let the kinetic energy of [tex]\alpha[/tex] particle = [tex]K_1[/tex]

[tex]\to K_1 = \frac{mass \times (velocity)^2}{2}[/tex]

The velocity of [tex]\alpha[/tex] particle [tex](v_1)= (2 \times \frac{k_1}{m_1})^\frac{1}{2}[/tex]

Let daughter core velocity be =[tex]v_2[/tex]

Preserving linear acceleration since there was no external factor we can write

[tex]\to m_2 \times v_2 = m_1 \times v_1\\\\\to v_2 = \frac{m_1\times v_1}{m_2}\\\\\to v_2 = \frac{m_1\times (2 \times \frac{k_1}{m_1})^{\frac{1}{2}}}{m_2}[/tex]

Daughter nuclei energy can be written as:

[tex]\to \frac{mass \times (velocity)^2}{2}\\\\\to \frac{m_2 \times (m_1)^2 \times 2 \times k_1}{(2\times m_1 \times (m_2)^2)}\\\\ \to (\frac{m_1}{m_2}) \times k_1[/tex]

In point c:

Initial weight = M

Total product weight [tex]= m_1 + m_2[/tex]

You can use the total release energy (Q-factor) as =[tex](M - (m_1+m_2)) c^2[/tex]

I need help with 6 and 7 please help?

Answers

Answer:

6-a .   7-c

Explanation:

6-a and 7-c I think that’s the answer

Evidence supporting the humanistic perspective is easily measured. True or false?

Answers

Answer:

False

Explanation:

I believe it's false.

Evidence not supporting the humanistic perspective is easily measured. So, the given statement is False.

What is an Evidence?

Evidence is defined as an object or information introduced to make the existence of a fact more or less probable that of testimony, document, photograph, video, voice recording, DNA test, or other tangible objects. can take form.

Evidence is used to prove an argument made by individuals or groups that believe something is true or a fact that can be used to refute or disprove a fact or argument that people disagree with, or considered false.

Thus, Evidence not supporting the humanistic perspective is easily measured. So, the given statement is False.

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A planet follows an elliptical orbit that brings it as close as 21 million km to a star and as far as 75 million km from the star. At both of these locations the velocity of the planet makes a right angle to the direction to the star. If the planet's speed is 38 km/s when it is farthest from the star, how fast is it moving when it is closest to the star

Answers

Answer:

Explanation:

In an elliptical orbit , the angular momentum of the planet remains constant because velocity of planet makes a right angle to the direction to the star .

mvr = constant .

mv₁r₁ = mv₂r₂

v₁r₁ = v₂r₂

v₁ x 21 = 38 x 75

v₁ = 135.71 km/s .

2.A child moving at constant velocity LIFTS a 2 N ice-cream to the top
shelf of a refrigerator. Is work being done?
O a. No
O b. Yes

Answers

Yea because the force is being applied to something making it move
Answer would be yea.
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