A (17cm X 17cm) square loop lies in the xy plane The magnetic field in this region of space is B=(0.31t i + 0.55t^2 k)T where t is in seconds.
1) What is the E induced loop at 0.5s
2)What is the E induced loop at 1.0s
Express your answer to two significant figures and include the appropriate units.

Answers

Answer 1

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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Answer:

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Answers

Answer:

Bent knees

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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.

2
Type the correct answer in the box
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nenors. Use g*98 Nike for granty
Reset
Ben

Answers

Answer:

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Explanation:

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Answers

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.

uses of electromagnetic wave​

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Radio waves - used for communication e.g. radios and TVs

Microwaves - used for cooking food and for satellite communications

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C. The equator has deserts that are actually too dry compared to Mars.
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Answers

Answer:

B.

I think.

Explanation:

Mars doesn't have that much of an atmosphere!

Have a great day!

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Answer:

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Answer:

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Explanation:

Rudolf Virchow

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Answer:

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Explanation:

Answer:

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Answer:

false

Explanation:

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Answer:

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Answer:

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true

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Answers

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[tex]ek = \frac{1}{2}(50)[/tex]

[tex]ek = 25j[/tex]

//

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i just did the quiz an got it right

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Answer:

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Answers

The vertical component of the velocity at the starting is 12.5 m/s upwards.

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Answer:

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Explanation:

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Answers

Answer:

Glucose diffuse from the blood plasma, across the capillary walls to the tissue fluid, and then to the cell.

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