With a voltage divider consisting of 12V and two 1k ohm resistors, what is the output voltage?

In a voltage divider circuit, the output voltage is determined by the ratio of the resistances in the circuit compared to the total voltage applied. When using two equal resistors in a voltage divider, the output voltage is simply half of the applied voltage.

In this case, we have a total voltage of 12V applied across two 1k ohm resistors. Since both resistors are of equal value, the voltage divides equally between them. Therefore, the output voltage measured across one of the resistors is:

Output Voltage = Total Voltage × (Resistance of one resistor) / (Total resistance)

Given that both resistors are 1k ohm, the total resistance in the circuit becomes 2k ohm. Thus, the output voltage can be calculated as:

Output Voltage = 12V × (1k ohm) / (2k ohm) = 12V × 0.5 = 6V

This calculation confirms that the output voltage across either resistor in this divider setup is 6 volts. This is why the correct answer is identified as 6 volts.