In a series circuit, what is the total resistance if the individual resistances sum to 7 ohms?

• A. 3 ohms
• B. 5 ohms
• C. 7 ohms
• D. 9 ohms

Answer: (C)

In a series circuit, the total resistance is calculated by simply summing the individual resistances of the components connected in the circuit. This means that if you have multiple resistors, the total resistance (R_total) is the sum of all individual resistances (R1 + R2 + R3 + ... + Rn).

Given that the total of the individual resistances in this case sums to 7 ohms, it follows that the total resistance of the circuit is indeed 7 ohms. This principle is fundamental in electrical circuits and highlights the linear relationship between resistance in series connections. The total resistance increases with each additional resistor adding to the circuit, which is different from a parallel circuit where total resistance decreases with more resistors.

Thus, the correct answer, representing the total resistance in the series circuit when the individual resistances sum to 7 ohms, is 7 ohms.