Question

What is the equivalent resistance of this circuit

Answer 1

Answer: 100 ohms.

Step-by-step explanation:

The circuit is composed of two parallel branches (upper and lower), with one resistor in the upper branch (150) and two resistors in the lower branch (250 and 50).

The lower branch resistors are in series, so the lower branch's resistance is:

250 + 50 = 300.

Now, the upper branch (150) and total lower branch (300) are in parallel, so:

`(1)/(R) = (1)/(150) + (1)/(300)`

That is,

`(1)/(R) = (3)/(300) = (1)/(100)`,

Solving for R, we find R = 100.

The equivalent resistance of this circuit is 100 ohms.