Final answer:
To calculate the maximum power delivered to a resistor, the resistance must equal the internal resistance of the power source. Common equations for power by a resistor are P = IV, P = V²/R, and P = I²R.
Step-by-step explanation:
To find the maximum power that can be delivered to a resistor in a circuit, we can utilize the concept of maximum power transfer, which states that the maximum power is delivered to a load resistor when its resistance is equal to the internal resistance of the source supplying the power. However, more information is needed to provide a specific formula or calculation for this question.
There are different formulas to calculate the power dissipated by a resistor, which depend on the known quantities within the circuit. The most common equations used are P = IV (where P is power, I is the current through the resistor, and V is the voltage across the resistor), P = ²R (useful when the voltage across the resistor is known), and P = I²R (useful when the current through the resistor is known)