A wire lying along a y axis form y=0 to y=0.25 m carries a current of 2.0 mA in the negative direction of the axis. the wire fully lies in a magnetic field given by (0.3y)i + (0.4y)j Tesla. what is The magnetic force on the wire
A: (0.15i+0.2j) N
B: (0.0015i+0.002j) N
C: (-6.25E-5 k) N
D:(6.25E-5 k) N
E: None of the above

Answers

Answer 1

Answer:

E: None of the above

Explanation:

Since the force on the wire F = ∫idL × B where i = current in wire = 2.0 mA = 2.0 × 10⁻³ A, dL = vector length of wire = dyj and we integrate from y₁ = 0 m and y₂ = 0.25 m, and B = magnetic field = (0.3y)i + (0.4y)j

So, F = ∫idL × B

and we integrate from y₁ = 0 m and y₂ = 0.25 m

F = 2.0 × 10⁻³ A∫₀⁰°²⁵[dyj m × (0.3y)i + (0.4y)j]

F = 2.0 × 10⁻³ A∫₀⁰°²⁵[dyj m × (0.3y)i + dyj m × (0.4y)j]

F = 2.0 × 10⁻³ A∫₀⁰°²⁵[(0.3y) × dy(j × i) + 0.25 × (0.4y)(j × j)]

F = 2.0 × 10⁻³ A∫₀⁰°²°⁵[(0.3ydy(-k) + 0.1y)(0)]

F = 2.0 × 10⁻³ A∫₀⁰°²⁵(-0.3ydy)k

F = 2.0 × 10⁻³ A[-0.3y²/2]₀⁰°²⁵k

F = -2.0 × 10⁻³ A[0.3(0.25)²/2 - 0.3(0)²/2]k

F = -2.0 × 10⁻³ A[0.3(0.0625)/2 - 0]k

F = -2.0 × 10⁻³ A[0.3(0.0625)/2]k

F = -1 × 10⁻³[0.01875]k N

F = -[0.01875 × 10⁻³]k N

F = -[1.875 × 10⁻⁵]k N

Since the answer is not contained in the options, the answer is E.


Related Questions

is a
The wire in a simple circuit
which forms an
unbroken pathway, allowing the
electric charges to flow.
A. switch
B. insulator
C. resistor
D. conductor

Answers

Answer:

I believe the answer is D: Conductor.

The _____is a measure of the number of waves that pass a point in a given amount of time

Answers

The answer is frequency
Answer: wave frequency

A bicycle with a mass of 100kg hit a wall at an acceleration of 4 m/s2, what is the force?

Answers

Answer:

400N

Explanation:

F= ma

F= 100 x 4

F= 400N


A circuit has an overall resistance of 40 ohms and a current of 200mA.
What is the potential difference in this circuit? ​

Answers

Answer:

Hey!

_________________

Voltage (V) = 0.8V

Current (I) = 200 mA = 200/10^3 = 2/10

Resistance = ?

Resistance = Voltage / Current

Voltage = Current × Resistance

0.8 = 2/10 × Resistance

0.8×10/2 = Resistance

8/2 = Resistance

Resistance = 4 ohm

_________________

Hope it helps...!!!

Explanation:

The bumper cars crash into each other and stop. Explain why both bumper cars stop after the crash. [4marks]

Answers

Answer:

The collision is inelastic

Explanation:

There are two kinds of collision; elastic collision and inelastic collision. In an elastic collision, both momentum and kinetic energy are conserved.

However, in an inelastic collision, kinetic energy is not conserved. So, when the bumper of two cars collide, the cars come to a stop because the collision is inelastic.

9. Bryce drove his car 10 km from his house to Belle Plaine. It took him 8 minutes. He got stopped at a long
traffic light on the return home and so he took 2 minutes longer on the return trip. What was Bryce's average
speed in km per minute? (3 pt)

Answers

Answer:

2 km/minute

Explanation:

Here, we are asked to calculate the average speed in km/minute.

As we know that,

Average speed = Total distance ÷ Total time taken

Here,

→ Total distance = 10 km + 10 km

Because, he first drove 10 km from his house to Belle Plaine and then he again came back to his house.

Total distance = 20 km

→ Total time = 8 minutes + 2 minutes

Total time = 10 minutes

Substitute the values in the formula of average speed,

→ Average speed = Total distance ÷ Total time taken

→ Average speed = 20km ÷ 10 minutes

Average speed = 2 km per minute

over due by alot please help

Answers

Answer:

i would say the third one

Explanation:

may i be brainliest?

the spring constant for each of these springs 100 000 N m-1. Calculate the distance that each of these rear springs is compressed by this vehicle as shown in the diagram above​

Answers

Answer:

sorry

Explanation:

What is the intensity of sound produced by an elephant's call if it has a power of 0.45 W and you are standing 32.5 m away from the lumbering beast

Answers

Answer:

I = 1.36 x 10⁻⁴ W/m²

Explanation:

The intensity of the sound produced by the Elephant can be calculated by using the following formula:

[tex]I = \frac{P}{A} \\\\[/tex]

where,

I = Intensity of sound = ?

P = power of sound = 0.45 W

A = area = πr² = π(32.5 m)² = 3318.3 m²

Therefore,

[tex]I = \frac{0.45\ W}{3318.3\ m^2} \\\\[/tex]

I = 1.36 x 10⁻⁴ W/m²

How many snowmen do you think this sled can destroy? Explain your answer.

Answers

Answer:

342,690

Explanation:

I think, given 342,690 snowmen down a giant hill, that sled could destroy every single snowman :)

the light beam falls on the surface of the mirror at an angle of 50 ° and is reflected. What is the magnitude of the reflection angle of that fiber?​

Answers

Answer:

The Magnitude of the angle of reflection equals that of Incidence from the Law of reflection

So its 50°.

Explanation:

When 120 V is applied across a 20 m long wire, the magnitude of the current density was found to be 2 * 10 ^ 8 * A / (m ^ 2) . The resistivity of this wire is

Answers

Answer:

[tex]\rho=3\times 10^{-8}\ \Omega-m[/tex]

Explanation:

Given that,

Voltage, V = 120 V

The length of the wire, l = 20 m

The current density of the wire, [tex]\dfrac{I}{A}=2\times 10^8\ A/m^2[/tex]

We need to find the resistivity of this wire. We know that,

[tex]R=\rho \dfrac{l}{A}[/tex]

Where

[tex]\rho[/tex] is the resistivity of wire

Also, [tex]R=\dfrac{V}{I}[/tex]

So,

[tex]\dfrac{V}{I}=\rho \dfrac{l}{A}\\\\\rho=\dfrac{V}{l\dfrac{I}{A}}[/tex]

Put all the values,

[tex]\rho=\dfrac{120}{20\times 2\times 10^8}\\\\=3\times 10^{-8}\ \Omega-m[/tex]

So, the resistivity of this wire is equal to [tex]3\times 10^{-8}\ \Omega-m[/tex].

POSSIBLE 1. Which of the following are examples of a physical reactions: (1) ice melting, (2) pencil breaking, (3) iron rusting, (4) wood burning? a. 1.4 b. 3,4 c. 2.3 d. 1,2​

Answers

Answer:

D) 1 & 2

Explanation:

Ice melting can be refrozen and although the pencil breaks, it doesn't change the chemical formula of the pencil

how can a sound of a different note be produced in a guitar without changing the length of wire?​

Answers

Answer:

how tightly strung the wire is

-- Make the string tighter or looser.

-- Keep the same length, but make the string thicker or thinner.

-- Touch the string at a point exactly 1/2, 1/3, 1/4, or 1/5 of its length from one end.

Use the drop-down menu to answer the question.
According to "Take a Closer Look", what type of lens is used to correct nearsightedness?

Answers

Answer: A.) concave lens

Explanation: i hope this helps shawtay :)

In general, a concave lens (also known as a diverging lens) is used to correct nearsightedness, as stated in "Take a Closer Look." Option C is correct.

What is the lens?

A lens is an optical component that is used to refract (bend) and focus light. It is typically made of a transparent material, such as glass or plastic, and has a specific shape that allows it to alter the path of light as it passes through.

Here,
In general, a concave lens (also known as a diverging lens) is used to correct nearsightedness, as stated in "Take a Closer Look."

A concave lens is thinnest at the center and thicker at the edges, which causes light rays passing through the lens to diverge or spread out. By placing a concave lens in front of a nearsighted eye, the lens causes incoming light rays to diverge more before they reach the eye's lens, which then focuses them properly on the retina, resulting in clearer vision.

Learn more about the lens here:
https://brainly.com/question/2919483
#SPJ6

Suppose your class invites a person to give a speech. When you test out the sound system in the gym you find there are so many echoes the speaker cannot be understood. What needs to be done to fix this problem?

Answers

Answer:

You either need to lower the volume so the sounds intensity is lessened. Or you can pad the walls to absorb the sound rather than defect.

Explanation:

Sound intensity allows it to be heard further, but in an enclosed room it will start returning. Sound will deflect off of hard objects do to its interactions with solids. A softer and foamy material can dampen it.

Determine the mass of fuel required for the expected energy consumption in the United States for the next 10 years:

Provide the energy use per person per year in the United States = 3.5 × 1011 joules.
Base your calculations on a current population of 310,000,000.

Answers

Answer:

(This will depend on the type of fuel, I will assume that the fuel is petrol)

First, let's find the expected energy consumption in the US for the next 10 years.

We know that in one year, a person consumes 3.5*10^11 joules.

There are 310,000,00 people on the US

Then the total consumption in one year is:

310,000,000*3.5*10^11 joules = 1.085*10^20 J

In 10 years the consumption is 10 times the consumption of a single year, then the expected energy consumption in the US for the next 10 years is:

10*1.085*10^20 J = 1.085*10^21 J

Now let's find the mass of fuel required.

We know that a liter of petrol has 31,536,000 joules of energy,

And a liter of petrol weights 0.75 kg

To find the number of liters of petrol that we need, we need to find the quotient between the expected energy consumption in the next 10 years and the energy of a single liter of petrol, this is:

N = (1.085*10^20 J)/(31,536,000 j) = 3.44*10^13

We will need  3.44*10^13 liters of petrol.

And the total mass of petrol will be:

M = 3.44*10^13*0.75 kg = 2.58*10^13 kg of fuel.

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