PY 212- Faraday's Law
A generator has a coil with 1260 turns that are each 0.090 m in diameter. The coil rotates at 3600 rpm in a 0.470 T magnetic field. If a 70.0 Ω resistive load is connected in parallel with the generator, what is the average power used by the load?
Answer
This problem will need to be split into two parts, calculating the voltage generated and then using the voltage to calculate the average power.
To calculate the voltage generated at a time t for a coil, you need to use the formula
V = 2 pi f N A B sin(2 p f t)
Using the rpm (f), the turns (N), the area (A), and the field (B).
Once you have an expression for V, you can substitute it into a an equation for P. If you can't find one that only uses V and R, you can use Ohm's Law to exchange the variables.
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This problem will need to be split into two parts, calculating the voltage generated and then using the voltage to calculate the average power.
To calculate the voltage generated at a time t for a coil, you need to use the formula
V = 2 pi f N A B sin(2 p f t)
Using the rpm (f), the turns (N), the area (A), and the field (B).
Once you have an expression for V, you can substitute it into a an equation for P. If you can't find one that only uses V and R, you can use Ohm's Law to exchange the variables.