Given generator, find resistance, power load.?
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A 30 Vrms generator is connected to a 30ohm load resistance. The current floating trough the load is 0.5A. Find the internal resistance on the generator and determine the power delivered to the load and the power dissipated within the generator.
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If the generator produces 30 volts rms and it had little or no internal resistance, the
current through the 30-ohm load resistor would be 1 ampere, by Ohm's Law.
If the total current in the circuit is 0.5 ampere, then the total circuit resistance is
30 divided by 0.5, or 60 ohms. The external load resistance is 30 ohms, so the
internal resistance of the generator is 60 - 30, or 30 ohms.
The total power delivered is equal to the product of the voltage and current, so it is
30 times 0.5, or 15 watts. Since the resistance of the generator and load resistor
are equal (30Ω each) then the power delivered to the load and power dissipated in
the generator are also equal, being 7.5 watts each. (half in the generator and half
delivered to the load resistor)