Final answer:
The correct answer is 3) 6V.
Step-by-step explanation:
To determine the output voltage (Vout) of a voltage divider circuit, we use the voltage divider formula:
Vout = Vin × (R2 / (R1 + R2))
Given that R1 is 10kΩ and R2 is also 10kΩ, and the input voltage (Vin) is 12V, the formula becomes:
Vout = 12V × (10kΩ / (10kΩ + 10kΩ))
Therefore,
Vout = 12V × (10kΩ / 20kΩ)
Vout = 12V × 0.5
Vout = 6V.
This means that the output voltage of the voltage divider is 6 volts.