Final answer:
The total resistance of resistors A (5Ω), B (10Ω), and C (20Ω) in series would be the sum of all three, which is 35Ω. The selection of C) 35Ω is the correct answer.
Step-by-step explanation:
The total resistance in a series circuit is calculated by simply adding the resistance values of each resistor. Since resistor A has 5Ω, resistor B has 10Ω, and resistor C has 20Ω, you can find the total resistance (Rtotal) by the following calculation:
Rtotal = RA + RB + RC = 5Ω + 10Ω + 20Ω = 35Ω.
Therefore, the answer is C) 35Ω.
Let's apply this method to a couple of practice problems to help solidify the concept:
- For the parallel circuit with resistors of 15Ω and 7Ω, the total resistance can be found using the formula for parallel resistors: 1/Rtotal = 1/R1 + 1/R2. Solving this gives us an equivalent resistance that is less than the smallest resistor in the parallel circuit.
- In the series circuit with resistances of 0, 5Ω, 7.5Ω, and 11Ω, the total resistance is just the sum of all the resistances, since they are in series.
Understanding these concepts is crucial to solving any circuit-related problems.