Question

In a parallel DC circuit, there are two branches with resistances rated at 12 ohms and 30 ohms. What is the total resistance of the circuit?

Answer 1

The total resistance of a parallel DC circuit with resistances of 12 ohms and 30 ohms is 8.57 ohms.

Step-by-step explanation:

In a parallel DC circuit, the total resistance depends on the individual resistances of the branches. To find the total resistance, we can use the formula:

Rtotal = 1 / (1/R1 + 1/R2)

where R1 and R2 are the resistances of the two branches. Plugging in the values, we get:

Rtotal = 1 / (1/12 + 1/30)

Calculating this gives us a total resistance of 8.57 ohms.