What is the total resistance of a circuit that has a 50 ohm resistor, a 75 ohm resistor, and a 100 ohm resistor in series?

In a series circuit, the total resistance is determined by simply adding together the resistance values of all the individual resistors. This is because, in a series configuration, the current that flows through each resistor is the same, and the overall resistance faced by that current is the sum of the resistances.

In this case, you have three resistors with values of 50 ohms, 75 ohms, and 100 ohms. To find the total resistance, you perform the following calculation:

Total Resistance = 50 ohms + 75 ohms + 100 ohms.

When you carry out this addition: 50 + 75 equals 125 ohms, then 125 + 100 equals 225 ohms.

Thus, the correct total resistance for the circuit with these resistors in series is 225 ohms. This method of adding resistances applies universally for resistors in series and is a fundamental concept in electrical circuits.