Final answer:
To find the current in the 20.0 Ω resistor, use Ohm's Law and the given current and resistance values. Repeat for the 9.000 Ω resistor.
Step-by-step explanation:
To find the current in the 20.0 Ω resistor, we can use Ohm's Law, which states that V = IR, where V is the voltage across the resistor, I is the current, and R is the resistance. Since the voltage is the same across the resistors in series, we can use the current value given for the 8.00 Ω resistor and the resistance value of the 20.0 Ω resistor to find the current: I = V/R = (0.500 A)(20.0 Ω/8.00 Ω) = 1.25 A.
To find the current in the 9.000 Ω resistor, we can use the same method: I = V/R = (0.500 A)(9.000 Ω/8.00 Ω) = 0.5625 A.