Final answer:
For ten 275-ohm resistors connected in series, the total resistance is 2750 ohms, and for the same resistors connected in parallel, the total resistance is 27.5 ohms.
Step-by-step explanation:
Calculating Resistance in Series and Parallel
Series Connection: When resistors are connected in series, the total resistance is the sum of all individual resistances. Hence, for ten 275-ohm resistors connected in series, we calculate the total resistance as follows:
- Rtotal, series = R1 + R2 + ... + R10
- Rtotal, series = 10 × 275Ω
- Rtotal, series = 2750Ω
Parallel Connection: For resistors in parallel, the total resistance is found by taking the reciprocal of the sum of the reciprocals of each resistance. Thus, for ten 275-ohm resistors connected in parallel, the calculation is:
- 1/Rtotal, parallel = 1/R1 + 1/R2 + ... + 1/R10
- 1/Rtotal, parallel = 10 × (1/275Ω)
- Rtotal, parallel = Ω / 10
- Rtotal, parallel = 27.5Ω
Therefore, the correct answers are: (a) 2750Ω and (b) 27.5Ω.