Question

Three resistors each have a resistance of 100-Ohms. Compare the equivalent resistance you could get from these resistors by connecting them in series versus connecting them in parallel.

a) Series: 300-Ohms, Parallel: 33.3-Ohms
b) Series: 100-Ohms, Parallel: 300-Ohms
c) Series: 33.3-Ohms, Parallel: 100-Ohms
d) Series: 200-Ohms, Parallel: 50-Ohms

Answer 1

The equivalent resistance of three 100-Ohm resistors connected in series is 300 Ohms, while in parallel it is approximately 33.3 Ohms.

Step-by-step explanation:

In a series circuit, the resistors are connected end to end, so the equivalent resistance is the sum of the individual resistances. Since all three resistors have a resistance of 100 ohms each, the equivalent resistance in series would be 300 ohms.

In a parallel circuit, the resistors are connected side by side, so the equivalent resistance is given by the reciprocal of the sum of the reciprocals of the individual resistances. For three 100-Ohm resistors in parallel, the equivalent resistance would be approximately 33.3 Ohms.