Final answer:
The 1 Ω resistor dissipates more power compared to the 9 Ω resistor due to their respective resistances.
Step-by-step explanation:
In a circuit, the power dissipated by a resistor is given by the formula P = I²× R, where P is the power, I is the current, and R is the resistance of the resistor. Since power is directly proportional to the square of the current, the resistor with the smaller resistance will dissipate more power.
Therefore, in this case, the 1 Ω resistor will dissipate more power compared to the 9 Ω resistor.
For example, if the current passing through the 1 Ω resistor is 5 A, then the power dissipated will be P = (5 A)² ×1 Ω = 25 W. On the other hand, if the current passing through the 9 Ω resistor is the same 5 A, then the power dissipated will be P = (5 A)² ×9 Ω = 225 W, which is higher.