The induced EMF in the loop at t = 1.0 s is 0.55 V.
The induced EMF in a loop is given by Faraday's law of electromagnetic induction, which states that the EMF is equal to the rate of change of magnetic flux through the loop.
The magnetic flux through the loop can be calculated using the formula:
Φ = ∫∫ B · dA
where B is the magnetic field, dA is the differential area vector, and the integral is taken over the area of the loop.
Since the loop is a square lying in the xy plane, the differential area vector is given by dA = dx dy k, where k is the unit vector in the z direction.
At t = 0.5 s:
The magnetic field is B = (0.31t i + 0.55t^2 k) T.
Substituting t = 0.5 s:
B = (0.31(0.5) i + 0.55(0.5)^2 k) T
B = (0.155 i + 0.1375 k) T
The magnetic flux through the loop is:
Φ = ∫∫ B · dA = ∫∫ (0.155 i + 0.1375 k) · (dx dy k)
The loop has dimensions of 17 cm x 17 cm, so we can integrate over the limits of x from 0 to 0.17 m and y from 0 to 0.17 m:
Φ = ∫∫ (0.155 i + 0.1375 k) · (dx dy k)
Φ = ∫0.17 ∫0.17 (0.155 dx + 0.1375 dy) = 0.0445 Wb
The EMF induced in the loop is given by:
E = -dΦ/dt
Taking the derivative with respect to time:
dΦ/dt = 0
E = 0 V
Therefore, the induced EMF in the loop at t = 0.5 s is 0 V.
At t = 1.0 s:
The magnetic field is B = (0.31t i + 0.55t^2 k) T.
Substituting t = 1.0 s:
B = (0.31(1.0) i + 0.55(1.0)^2 k) T
B = (0.31 i + 0.55 k) T
The magnetic flux through the loop is:
Φ = ∫∫ B · dA = ∫∫ (0.31 i + 0.55 k) · (dx dy k)
Again, we can integrate over the limits of x from 0 to 0.17 m and y from 0 to 0.17 m:
Φ = ∫∫ (0.31 i + 0.55 k) · (dx dy k)
Φ = ∫0.17 ∫0.17 (0.31 dx + 0.55 dy) = 0.1525 Wb
The EMF induced in the loop is given by:
E = -dΦ/dt
Taking the derivative with respect to time:
dΦ/dt = -0.55 Wb/s
E = 0.55 V
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Which of the following waves has the longest wavelength? Group of answer choices a.ultraviolet b.gamma c.visible light d.microwaves
Answer: visible light
Explanation:
20 POINTS! PLZ HELP ME. :-)
Answer:
A
Explanation:
Because both the elements are non-metals
i need help it is psychology
Answer:
C. Forebrain
Explanation:
The Basil Ganglia, sits on the base of the forebrain.
One scientist suggests that out of the different possible locations, they should design the model and build it at the equator recieves the most intense solar radiation. Which if the following is the most appropriate critique for the scientist's suggestion?
A. Earth's equator is not hot enough to simulate the Martian daytime.
B. The high mountain top gets the same amount of radiation as the equator, but with atmospheric conditions that are more similar to Mars.
C. The equator has deserts that are actually too dry compared to Mars.
D. The Antarctica has the same nighttime temperature as Mars, but with a similar amount of ice compared to the equator.
Answer:
B.
I think.
Explanation:
Mars doesn't have that much of an atmosphere!
Have a great day!
Explain why it is better to jump and land with bent knees rather than straight legs? Use key physics vocabulary.
Answer:
Bent knees
Explanation:
Depending the height your jumping from, if you were jumping from a high structure it's best if you jump and land on knees so you dont sprang your ankles from jumping and landing on your straight legs, you could even pull a muscle if you land on straight legs.
What is another term that refers to foodborne illness?
Where do electrons spend most of their time?
Answer:
around the nuclei of each atom
Explanation:
Answer:
Before bonding, the atom's electrons spend most of their time around the nuclei of each atom.
Explanation:
Once bonded, the electrons spend most of their time between the two nuclei.
2
Type the correct answer in the box
A car has a mass of 1,000 kilograms. The weight of the car is
nenors. Use g*98 Nike for granty
Reset
Ben
Answer:
Weight = 9800Newton
Explanation:
Given the following data;
Mass of car = 1000kg
Acceleration due to gravity = 9.8m/s²
To find the weight of the car;
Weight is given by the formula;
Weight = mass * acceleration due to gravity
Substituting into the equation, we have;
Weight = 1000*9.8
Weight = 9800Newton
if the 50 kg object slows down to a velocity of 1 m/s how much kinetic energy does it have 100j 50j 25j or none
[tex]ek = \frac{1}{2}m {v}^{2} [/tex]
[tex]ek = \frac{1}{2}(50) {(1)}^{2} [/tex]
[tex]ek = \frac{1}{2}(50)[/tex]
[tex]ek = 25j[/tex]
//
I'm not really sure but I do know that it's not 0 because the object is still moving, even if it's only moving at 1 m/s.
pls help i’ll give brainliest if you give a correct answer!!
Answer:
South ....................
Answer:
South ;)
Explanation:
I just did it .
An object can have forces acting upon it, but might not accelerate
True
or
False?
Answer:
true
Explanation:
if you apply force to the top of a square it will not move
Name some minerals used as gems.
Answer:
Minerals to Gemstones
Mineral Name Gemstone Name
Beryl Aquamarine, Beryl, Bixbite, Emerald, Goshenite, Heliodore, Morganite
Brazilianite Brazilianite
Chalcedony Agate, Aventurine, Bloodstone, Carnelian, Chrysoprase, Heliotrope, Jasper, Onyx, Sard
Chrysoberyl Alexandrite, Chrysoberyl
uses of electromagnetic wave
Calculate the momentum of a 1kg box moving at a velocity of 50 m/s.
the momentum = m * v
m : mass
v : velocity
momentum = 1 * 50 = 50 kg.m/s
Who is farther from home at 4 minutes?
Answer:
lil's sister
hope this helps pls mark brainliest
friction is a:
A.balance force
B.unbalance force
C.type of motion
D.type of direction
Answer:
c
Explanation:
becaz its motion and without motion u cant get friction
Answer:
A
Explanation:
hope this helps
mark me brainlist1. A stone is thrown upwards with an initial velocity of 25 m/s at angle of 30° to the ground a. Show that the vertical component if the velocity at the starting is 12.5 m/s upwards.
The vertical component of the velocity at the starting is 12.5 m/s upwards.
What is velocity?Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time.
In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.
Given that stone is thrown upwards with an initial velocity of 25 m/s at angle of 30°.
Hence, the vertical component of the velocity in upward direction = 25 sin30° m/s
= 25 × 1/2 m/s
= 12.5 m/s.
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The angle between the incident ray and the reflected ray from a mirror is 720.
Find the angle of incidence.
Answer:
when a ray of light is incident normally on a plane mirror the angle between incident and reflected ray is 0 degree or 180 degree
Explanation:
Urea gets from body cells to the blood plasma by diffusion through the tissue fluid. Explain what this means?
Answer:
Glucose diffuse from the blood plasma, across the capillary walls to the tissue fluid, and then to the cell.
Glucose diffuse from the blood plasma, across the capillary walls to the tissue fluid, and then to the cell. The waste product urea diffuse from the cells of the liver to the tissue fluid, and then across the capillary walls into the blood plasma.
2x+1-2x=8. solve this problem math
Answer:
x=7
Explanation:
2x+1-2x=8
or,2x-2x=8-1
x=7
Pick all the right ones !!
tartaric acid is present in spinach true or false
Answer:
falseExplanation:
because Oxalic acid is present in spinach
MARK ME AS BRAINLISTWhere did Ford first see parts made from vanadium steel? What properties of this steel impressed Ford? Did Ford need to overcome any problems before going ahead with his plan?
Explanation:
Historical sources believe that Henry Ford first saw parts made from vanadium steel in Europe which were been used on racing cars and luxurious vehicles.
Ford was impressed due to the fact that Vanadium steel unlike normal steel was cheaper and at the same time stronger and lighter if it was used on automobiles.
What is the volume of the water in the graduated cylinder gizmo Student Volume Lab Sheet (cm3 and mL)
Answer:
The volume of water in the graduated cylinder will be equal to the calculated volume of the sphere.
Explanation:
The volume of solid objects can be measured by completely immersing these solids in an overflow faucet filled to brim with a liquid in which the solid does not dissolve. This is known as the displacement method. When water is used, it is known as water displacement method.
In the Volume Lab Sheet, a sphere whose volume has been pre-calculated is immersed in the overflow faucet containing water. The displaced water is collected in a beaker and the volume is obtained using a 50 mL measuring cylinder.
The volume of a sphere is calculated using the following formula:
Vsphere = 4πr³/ 3
The symbol π represents the number pi, which is about 3.14. The letter r stands for the radius of the sphere, which is the distance from the center of a sphere to its surface. The radius is exactly half of the diameter, which is the distance across the sphere through its center.
The volume of the water in the measuring cylinder is found to be equal to the calculated volume of the sphere. This is because an object immersed completely in a liquid displaces a volume of liquid equal to its own volume.
There is a scale with a basket on it. A brick, brick #1 is placed on the scale. The brick has a mass of 10 kg. What are the two forces acting on the brick?
Answer:
Weight and reaction.
Explanation:
With respect to Newton's third law of motion, action and reaction have equal magnitude but acts in opposite direction.
Thus, the brick of mass 10 kg has its weight (due to gravitational pull of the earth), which acts downwards through its center of mass. This makes the scale to produce an opposing force of equal magnitude, which acts upwards. These two forces acting in opposite directions balancing each other.
The two forces acting on the brick are: its weight and the reaction from the scale.
Hello anyone I need the answer to this, thank you!
Answer:
yes
yes yes yes yes
yes yes yes
Which of the scientist responsible for cell theory would be the most likely to write a book titled Cells Come from Cells
Answer:
Rudolf Virchow
Explanation:
popularized the cell theory in an 1855 essay entitled “Cellular Pathology.” (b) The idea that all cells originate from other cells was first published in 1852 by his contemporary and former colleague Robert Remak (1815–1865).
Explanation:
Rudolf Virchow
-Rudolf Virchow would be the most likely to write a book titled 'Cells Come From Cells' because in cell theory he added a point that 'All cells arises from pre-existing cells. ' which means that all cells come from another cells which is as similar as the title of the book
Why can videos be streamed from one computer to another with excellent quality?
Answer:
(d) they are transmitted using digital signals
Explanation:
i just did the quiz an got it right
Answer:they are transmitted using digital signals
Explanation:
is the number of paper clips in step 2 the same as the number of paper clips in step 3? why do/don't you think so?
The number of paper clips in step 2 is the same as the number of paper clips in step 3 is a true statement, as the mass is the same for both.
What is mass?It is possible to define every mechanical quantity in terms of mass, length, and time. The SI unit for mass, denoted by the letter m, is the kilogram. While mass is typically thought of as an immutable feature of an item, relativistic mass must be taken into account when traveling at speeds close to the speed of light.
Given:
The mas of the paper clips are the same,
Assume the number of clips in step two is x and the mass is m, the mass in the third step is the same as in step 2,
Thus, the number of clips = Total mass of paper clip / mass of one clip,
The number of clips = m / x
As we can see, if the mass is equal, then the number of clips will also be equal.
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An orbiting satellite experiences no force due to the Earth's
gravity.
Answer:
false
Explanation:
The statement "An orbiting satellite experiences no force due to the Earth's gravity." is a False statement. This is further explained below.
What is Gravity?Generally, Gravity is simply defined as the force that pulls items toward the center of a planet or other entity.
In conclusion, an orbiting satellite experiences force due to the Earth's gravity.
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