Understanding Flux and EMF in a Rotating Conducting Coil: True or False?

In summary, the magnetic field flux through the coil is increasing in B, decreasing in A, has the maximum positive value in B, has the maximum negative value in A, and has the minimum value in C.
  • #1
haxxorboi
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0

Homework Statement


The conducting coil rotates around the axis of rotation in the direction of the right-hand rule (thumb pointing along the axis of rotation, the fingers curl in the direction of rotation). A uniform magnetic field B points from left to right. The "flux" refers to the magnetic field flux through the coil; define the direction of positive flux as flux from the red side to the blue side.

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All questions are T/F

1. In B the flux through the coil is zero and increasing.
2. In A the flux through the coil is zero and decreasing.
3. In B the flux through the coil has the maximum positive value.
4. In A the emf around the coil has the maximum value.
5. In A the emf around the coil is zero.
6. In C the magnitude of the emf around the coil has the maximum value.
7. In A the flux through the coil has the maximum positive value.
8. In A the flux through the coil has the maximum negative value.

Homework Equations


EMF=delta magnetic flux/delta time
Flux=B*A*cos(theta)

The Attempt at a Solution


1. F, All flux through coil which will decrease
2. F, No flux through coil which will increase
3. T, All flux through coil which would make this a maximum point in flux graph
4. F, No flux = no EMF
5. T, Same reasoning as 4, except opposite answer
6. F, Again no flux means no EMF
7. F, No flux through coil in C
8. F, Zero flux is halfway to being the max negative flux, which would be position "D"

Can someone tell me what I'm messing up here. I'm obviously mixing something up here.

Thanks
 
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  • #2
Ok, upon further thinking I've discovered in this case that...
Flux=sin(x)
EMF=-cos(x)

1. In B the flux through the coil is zero and increasing.
2. In A the flux through the coil is zero and decreasing.
3. In B the flux through the coil has the maximum positive value.
4. In A the emf around the coil has the maximum value.
5. In A the emf around the coil is zero.
6. In C the magnitude of the emf around the coil has the maximum value.
7. In A the flux through the coil has the maximum positive value.
8. In A the flux through the coil has the maximum negative value.

Thus,
1. F, flux is at a max and decreasing
2. F, flux is zero and increasing
3. T, flux at max
4. F, EMF is at minimum here
5. F, Again, it's minimum here
6. T, EMF at max here
7. F, flux at zero here
8. F, flux at zero here

This is hurting my head. Am I missing something huge here or what?
 
  • #3
Anyone? I'm struggling here bad...
 

Related to Understanding Flux and EMF in a Rotating Conducting Coil: True or False?

1. What is a generator?

A generator is a device that converts mechanical energy into electrical energy. It consists of a rotor that is rotated by an external force, such as a turbine or an engine, and a stator that contains coils of wire. As the rotor spins, it creates a magnetic field that induces an electric current in the stator's coils, producing electricity.

2. What are the main properties of a generator?

The main properties of a generator are its voltage, current, frequency, and power output. The voltage is the electrical potential difference between the generator's terminals, while the current is the flow of electric charge. The frequency is the number of cycles per second at which the generator produces electricity, and the power output is the amount of electrical energy it can generate in a given time.

3. How do the properties of a generator affect its performance?

The properties of a generator directly impact its performance. A higher voltage and current output means the generator can power more devices or appliances. The frequency determines the type of electricity the generator produces, with most household appliances requiring a frequency of 60 Hz. The power output determines how much electricity the generator can provide, and it is influenced by the generator's size, speed, and efficiency.

4. Can a generator's properties be adjusted?

Yes, to some extent, a generator's properties can be adjusted. The voltage can be modified by changing the number of coils in the stator or adjusting the magnetic field's strength. The frequency can be altered by changing the rotational speed of the rotor. The power output can also be adjusted by changing the generator's size and design, as well as its speed and efficiency.

5. What are the different types of generators based on their properties?

The two main types of generators are AC (alternating current) and DC (direct current) generators. AC generators produce electricity with a varying voltage and frequency, while DC generators produce a constant voltage and frequency. Other types of generators include diesel, natural gas, and solar generators, which differ in the way they produce mechanical energy to rotate the rotor and generate electricity.

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