Question

A particular circuit toolbox contains only 80 Ω resistors and switches, which can be open or closed. Construct a circuit, filling in all four boxes, such that the overall equivalent resistance between A and B is 40 Ω?

Answer 1

To achieve an equivalent resistance of 40 Ω using 80 Ω resistors and switches, you can connect two 80 Ω resistors in parallel.

Step-by-step explanation:

To construct a circuit with an overall equivalent resistance of 40 Ω using only 80 Ω resistors and switches, we can connect two 80 Ω resistors in parallel.

This will reduce the overall resistance to 40 Ω. Here is an example circuit:

In this circuit, the two 80 Ω resistors are connected in parallel, resulting in an equivalent resistance of 40 Ω between points A and B.