Answer :
Final answer:
Maximum power transfer to a circuit occurs when the resistance of the load equals the resistance of the source. This can be calculated by using Ohm's law, and the power transferred to the circuit can be controlled by manipulating the resistance.
Explanation:
The maximum power transfer theorem states that to obtain maximum external power from a source with a fixed internal resistance, the resistance of the load must equal the resistance of the source. In this case, it implies that RL (also in kilo ohms) has to be equal to R for maximum power transfer to occur.
The power transferred to the circuit is calculated using the formula P = I²R where P is power, I is current and R is resistance (Ohm's law).
In an AC circuit, the power generated by a generator is dissipated in the resistor. This is represented by the term ImsR, where 'Ims' is the current rms. To understand this in relation to Ohm's law, one can see that the rms ac for Ohm's law is found by dividing the rms voltage by the impedance. Hence, the power produced is dissipated in the resistor.
Generally, a narrower bandwidth would need a lower resistance or higher inductance. But a lower resistance increases power transferred to the circuit, which may not always be desirable. To control power transfer, one can manipulate resistance using Ohm's law.
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