Question

In the section of the circuit below, R1 is 1.700 Ω, R2 is 1.940 Ω, and R3 is 1.100 Ω. Find the equivalent resistance of this combination of resistors.

a. 0.913 Ω
b. 4.740 Ω
c. 5.740 Ω
d. 6.740 Ω

Answer 1

To find the equivalent resistance of the combination of resistors, we use the equation for resistors in parallel and add it to the resistance in series. By substituting the given values and performing the calculations, the equivalent resistance is 0.913 Ω. The correct answer is option (a).

Step-by-step explanation:

To find the equivalent resistance of the combination of resistors, we first note that R₂ and R3 are in parallel, and their combination Rp is in series with R₁. The total resistance is given by Rtot = R₁ + Rp.

We can find Rp using the equation for resistors in parallel, Rp = 1 / (1/R₂ + 1/R3), and substituting the given values.

Then, we can calculate Rtot by adding R₁ to Rp.

Following these steps, the equivalent resistance of this combination is 0.913 Ω, which corresponds to option a.