Find resistance and current.?
Answer:
The link between voltage, current and resistance (Ohm's Law)
If you know two of these, you can work out the last one using this formula:
V = I x R
V = The voltage across a component
I = The current going through a component
R = The resistance of a component
The other ways of writing Ohm's Law are:
R = V/I or I = V/R
The symbol for voltage is V. It is measured in units of Volts V
The symbol for current is I. It is measured in units of Amps A
The symbol for resistance is R. It is measured in units of Ohms
The current is the consumed power divided by the voltage. The dynamic resistance is the voltage divided by the current.
Power=currentXvoltage
Rated current=4000/240 consumed current=3522.105/240
Power=voltageXvoltage/resistan...
rated resistance=240X240/4000
Effective instantaneous resistance=240X240/3522.105
If the effects of inductance and power factor are ignored, the power = V x I where V is the voltage and I the current. But the data given suggests that a 4kW motor is consuming 3522 W indicating a power factor of nearly 0.9 which is not abnormal.
In this situation, we need to do more detailed calcualtions to get the Resistance and the current. Right now, I lack access to the books that deal with this.
P= Vexp(2)/R => R= Vexp(2)/ P = 240exp(2)/4k = 57600/4k =14.4 ohms
effective current I= V/R = P/V =4k/240 = 16.666~ A
Power (W) = Voltage (V) x Current (A)
so Amps (current) = W/V
A = 3522.105/240 = 14.675A
(rated power was) 4000/240 = 16.667A (rated current)
Voltage = Current x Resistance
So Resistance = V/A
R = 240 / 14.675 = 16.35 Ohms
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