Answer :
Final answer:
For maximum power transfer in a DC circuit, the load resistance should be equal to the source resistance. In this case, where the source resistance is 2.7 kilo ohms, the load resistance should also be 2.7 kilo ohms for maximum power transfer.
Explanation:
In the context of maximum power transfer, the load resistance (i.e., the resistance where maximum power is to be delivered) needs to be equal to the source resistance. In this example, the source resistance is given as 2.7 kilo ohms. Therefore, for maximum power transfer, the value in kilo ohms should also be 2.7 kilo ohms. The principle of maximum power transfer is derived from the formula P = IV, where P is power, I is current and V is voltage. Also, considering Ohm's law (V = IR), we can derive the formula P = I²R, which is used to calculate the power dissipated by a resistor in a DC circuit. So, reiterating, for maximum power transfer in a circuit, the load resistance should match the source resistance. Therefore, in this case, the load resistance should be 2.7 kilo ohms.
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