Final answer:
The maximum power is delivered to a load when the load resistance is equal to the internal resistance of the power source. This is due to the Maximum Power Transfer Theorem, which is applicable in both DC and resonance conditions in AC circuits.
Step-by-step explanation:
To find at which value of the load resistance the power delivered to the load by a current source (or a voltage source) is maximized, we can refer to the Maximum Power Transfer Theorem. The theorem states that in a DC circuit, maximum power is delivered to the load when the load resistance (Rload) is equal to the internal resistance (r) of the power source.
The complete circuit resistance can be expressed as the sum of the load resistance and the internal resistance (Rtotal = Rload + r). By Ohm's Law, the current flowing through the circuit (I) is the electromotive force (emf) divided by the total resistance (I = emf / (Rload + r)). The power dissipated by the load resistor (Pload) is then given by Pload = I2 Rload, which is maximized when Rload = r.
The resonance effects in AC circuits align with this principle, where the power is maximized when the impedance is purely resistive and when voltage and current are in phase. This equates to the scenario where Z = R and the power factor (cos θ) is 1, highlighting that resonance (or a purely resistive load) yields the highest average power transfer, as calculated per Pave = Vs / R.
The question is incomplete at which value of the load resistance is the power delivered to the load maximized current source is............/;