Maximum and Minimum voltage

[zebra1707]

Homework Statement

Hi there, motor and generator gurus

Suppose a generator has the following specifications, and the rotor turns with frequency 10 Hz. Determine the maximum and minimum value of the voltage generated, using the formula: ε = Βlv

n = 1000 loops = 1000
B = 10 Tesla
I = 10 current of coil in Ampere (A)
A = (0.05 m x 0.1 m) area of coil in m2

τorque = 500 Nm

Homework Equations

ε = Βlv maximum voltage is E0 = NABω Since ω = 2pif

The Attempt at a Solution

My solution is maximum voltage 1000 x 10 x (0.005) x 2 x pi x 10 = 3141 V

Minimum voltage = E0 = 0 (min voltage must be zero)

Assistant needed as my voltage is excessive IMO.

Cheers and thanks

 

[zebra1707]

I think I have worked it out, can someone please confirm.

10 Hertz converted to radians is 62.83, therefore my volts would drop to 314 V

and minumum - if e = 0, then the minimum voltage should be 0.

Cheers

 

[zebra1707]

Hi there, and help!

I have been attempting to nut this out and could use some guidance.

I think that I have the equation right now E(max) = 2 x n (turns) x B(in tesla)x L x v sin (theta).

Based on the info already available (see previous post) the max voltage is 1000 V.

Can someone please confirm.

Cheers

 

[zebra1707]

Anyone? Please assist.

Regards

 

[rwisz]

for the question.

I would like to clarify a few things before providing a response. Firstly, it is important to specify the units for each of the given parameters in the problem, such as the length (l), magnetic field strength (B), and current (I). This will ensure that the calculations are accurate and consistent. Additionally, the torque value provided is not relevant to the calculation of maximum and minimum voltage, so I will not be using it in my response.

Now, to determine the maximum and minimum voltage generated by the generator, we can use the equation ε = Βlv, where ε is the induced voltage, B is the magnetic field strength, l is the length of the coil, and v is the velocity of the coil.

Using the given values, we can calculate the maximum voltage as follows:

ε = (10 T) x (1000 loops) x (0.05 m x 0.1 m) x (10 A) x (2π x 10 Hz)
= 3141 V

This value is correct, so your solution for the maximum voltage is accurate.

However, for the minimum voltage, we need to consider the direction of the induced voltage. The minimum voltage occurs when the coil is perpendicular to the magnetic field, which means that the induced voltage will be zero. This is because the angle between the magnetic field and the coil is 90 degrees, and the sine of 90 degrees is 1, making the induced voltage equal to zero.

Therefore, the minimum voltage in this case would be zero, as you have correctly stated. However, it is important to note that this is only the case if the coil is perpendicular to the magnetic field. If the coil is at any other angle, the minimum voltage will not be zero.

I hope this helps clarify the concept of maximum and minimum voltage in this scenario. Keep up the good work in your studies!