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- Could decreasing the magnetic field increase a generator's power output?

Hi,

I am confused about whether decreasing the magnetic field used for a generator could increase the generator's power output.

I used four equations:

1. Torque = Force x radius

2. Torque = NIAB (N = number of turns, I = current, A = area of armature, B = magnetic field).

3. emf = NAB(2*pi*f) (emf = electromotive force, f = frequency of rotation of armature.

4. I = emf / R (R = resistance)

Using these equations, I found that frequency is inversely proportional to magnetic field ("f" is proportional to "1/B^2"). If that is the case, then decreasing magnetic field should actually increase frequency, correct?

A generator should produce more power when the frequency is greater. Well then, a generator with lower magnetic field, provided that it has greater frequency, should produce more power.

I get the feeling that I made a mistake somewhere in my math or reasoning, would someone please help me out on this?

Thanks.

Citations to sources for relevant equations:

https://courses.lumenlearning.com/suny-physics/chapter/23-5-electric-generators/

http://spiff.rit.edu/classes/phys213/lectures/amp/amp_long.html

I am confused about whether decreasing the magnetic field used for a generator could increase the generator's power output.

I used four equations:

1. Torque = Force x radius

2. Torque = NIAB (N = number of turns, I = current, A = area of armature, B = magnetic field).

3. emf = NAB(2*pi*f) (emf = electromotive force, f = frequency of rotation of armature.

4. I = emf / R (R = resistance)

Using these equations, I found that frequency is inversely proportional to magnetic field ("f" is proportional to "1/B^2"). If that is the case, then decreasing magnetic field should actually increase frequency, correct?

A generator should produce more power when the frequency is greater. Well then, a generator with lower magnetic field, provided that it has greater frequency, should produce more power.

I get the feeling that I made a mistake somewhere in my math or reasoning, would someone please help me out on this?

Thanks.

Citations to sources for relevant equations:

https://courses.lumenlearning.com/suny-physics/chapter/23-5-electric-generators/

http://spiff.rit.edu/classes/phys213/lectures/amp/amp_long.html