What Are the Maximum and Minimum Voltages Generated by a Generator?

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Homework Help Overview

The discussion revolves around determining the maximum and minimum voltages generated by a generator, given specific parameters such as frequency, number of loops, magnetic field strength, and coil area. The subject area involves electromagnetism and generator theory.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to apply the formula ε = Βlv and discussing the implications of their calculations for maximum and minimum voltage. There are questions about the correctness of their derived values and the interpretation of the equations involved.

Discussion Status

Some participants have provided calculations for maximum voltage and are seeking confirmation of their results. There is an ongoing exploration of the minimum voltage, with some suggesting it should be zero. The discussion reflects a mix of attempts and requests for validation without reaching a consensus.

Contextual Notes

Participants are working with specific values and formulas, but there are indications of uncertainty regarding the calculations and assumptions made, particularly concerning the conversion of frequency and the application of the equations.

zebra1707
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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
 
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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
 
Last edited:
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
 
Anyone? Please assist.

Regards
 

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