OK, sorry I took so many shortcuts in the analysis!
Yes, 'ckt.' is abbreviation for 'circuit'.
davidwinth said:
How come you get 18 W when...
Tom.G said:
1st ckt. 144/2 =72W, 144/8=18W
I get 18W dissipated by the 8 Ohm resistor (From the two previous lines in Post #2.)
You have 12V across the 8 Ohm resistor, so square the 12 (12*12=144) and divide that by 8 (which is the resistance of R
2), yielding 18W.
I did the same thing with R
1, 144/2 Ohms = 72W.
If you add the power dissipated by of each of the elements, 18W
(R2) + 72W
(R1) + 52W
(motor) = 142Watts total. Which is within the roundoff error of the Hyperphysics answer. (Note that I used 12V across each element rather than the 12.202277V, etc that they used.)
davidwinth said:
I took the positive lead from the power supply and put one of the 1k Ohm resistors on it then measured the voltage from there to ground. It was
still at 24V. The resister had no effect. I thought voltage dropped across resistors. So:
- Will putting such a small resister as 2.7 Ohms really drop the voltage to 12 if a 1k Ohm resistor did nothing?
Try it with TWO 1k Ohm resistors.
Connect one lead of a 1k resistor (call it R3) to +24V.
Connect one lead of another 1k resistor (call it R4) to supply ground.
Connect the free lead of R3 to the free lead of R4.
Turn on the supply and measure its output voltage, it should be 24V.
Now measure the voltage across ONE resistor, it doesn't matter which one, it should read 12V.
What you have here is a voltage divider. The voltage divides across the resistors in proportion to their resistances. Since the resistors are the same value there is the same voltage across each of them. (Well, the voltage may be
slightly different, no two resistors are
exactly identical.)
This is the way a 2.7 Ohm resistor would work in the fan ckt. You already determined the motor resistance to be 2.79 Ohms. I chose a standard value resistor closest to the motor resistance to end up with about half the supply voltage at the motor.