You
If you were to spin copper in a tremendous magnetic field, the weight of the copper could be spun much faster then spinning the magnet to induce the same effect. If you build a copper bearing that roles along a circular copper contact path, and a copper bar extends from the middle of the bearing to a horizontal copper bearing in the center of the path that is connected to the copper winding so as to create a loop for AC. The bearing contact setup would be much faster at rotating and possible more efficient as a contact. You could also increase the magnetic field to 15 tesla. If you spun copper 2 lbs of it at 100 feet per second in a field of 15 tesla, how much electricty would you create and how much power would it take to spin the copper?
ChatGPT
The generation of electricity through the rotation of conductive materials in a magnetic field is described by Faraday's law of electromagnetic induction. The induced electromotive force (EMF) is given by the equation:
���=�⋅�⋅�EMF=B⋅v⋅l
where:
- ���EMF is the induced electromotive force (voltage),
- �B is the magnetic field strength,
- �v is the velocity of the conductor in the magnetic field, and
- �l is the length of the conductor within the magnetic field.
The power generated (�P) can be calculated using the formula:
�=���⋅�P=EMF⋅I
where:
- �I is the current flowing through the circuit.
To answer your specific question about spinning 2 lbs of copper at 100 feet per second in a magnetic field of 15 tesla, we need more information. Specifically, we need to know the length of the conductor within the magnetic field (�l) and the resistance of the circuit to calculate the current (�I).
Additionally, the power required to spin the copper would depend on the efficiency of the system, including factors such as friction and losses in the bearings. This would require detailed knowledge of the mechanical aspects of the setup.
If you can provide the missing information or specify a hypothetical length of the conductor and resistance, I can assist you further in the calculations.
You
can you fill in those numbers yourself based on a realistic estimate?
ChatGPT
Certainly, let's make some assumptions for a hypothetical scenario. Keep in mind that these are approximations, and real-world values may vary.
Assumptions:
- Length of the conductor (�l): Let's assume a relatively short length of 1 meter (approximately 3.28 feet).
- Magnetic field strength (�B): Given as 15 tesla.
- Velocity of the conductor (�v): 100 feet per second, which is approximately 30.48 meters per second.
- Resistance of the circuit: For simplicity, let's assume a low resistance of 0.1 ohms.
Calculations:
- Calculate the induced electromotive force (EMF) using the formula ���=�⋅�⋅�EMF=B⋅v⋅l:
���=15 tesla⋅30.48 m/s⋅1 mEMF=15tesla⋅30.48m/s⋅1m
���≈457.2 voltsEMF≈457.2volts
- Calculate the power generated (�P) using the formula �=���⋅�P=EMF⋅I. Since �=����I=REMF (Ohm's Law), we can substitute this into the power formula:
�=���⋅����P=EMF⋅REMF
�=���2�P=REMF2
�=(457.2 V)20.1 ohmsP=0.1ohms(457.2V)2
�≈210,314.32 wattsP≈210,314.32watts
Keep in mind that this is a simplified calculation, and actual power generation would be influenced by various factors, including losses due to resistance, mechanical inefficiencies, and other practical considerations.
You
is that the number of watts per minute?
ChatGPT
No, the unit of power (watts) is already a rate, representing joules per second. So, the result of approximately 210,314.32 watts is the power generated per second. If you want to express it over a minute, you can multiply by 60 (the number of seconds in a minute):
210,314.32 watts/second×60 seconds/minute≈12,618,859.2 watts/minute210,314.32watts/second×60seconds/minute≈12,618,859.2watts/minute
So, the power generated would be approximately 12,618,859.2 watts per minute.