The conductor with which resistance must be connected in parallel with the 30 ohm conductor

The conductor with which resistance must be connected in parallel with the 30 ohm conductor so that the total resistance is 20 ohms.

We need to determine the conductor with what resistance it is necessary to connect in parallel with the conductor with a resistance of 30 Ohms, in order for the total resistance to be 20 Ohms.

The conductors are connected in parallel (according to the condition), then we write down the formula to find the total resistance:

1 / R0 = 1 / R1 + 1 / R2;

We express from the formula:

R0 = (R1 * R2) / (R1 + R2).

It remains to substitute the value into the formula and perform calculations:

R0 = (R1 * R2) / (R1 + R2) = (30 Ohm * 20 Ohm) / (30 Ohm + 20 Ohm) = 600/50 = 12 Ohm.

Answer: 12 ohms.