Resistors of values R₁ = 6.00 Ω,R₂ = 4.00 Ω,R₃ = 10.0 Ω,and R₄ = 7.00 Ω are combined as shown.What is the equivalent resistance for this combination? A)2.30 Ω B)3.00 Ω C)10.7 Ω D)27.0 Ω

Question

Quizplus · Accepted Answer

To find the equivalent resistance, we need to first simplify the circuit by combining resistors in series and parallel.

Starting from the left, we can combine R1 (6.00 Ω) and R2 (4.00 Ω) in series to get a total resistance of 10.00 Ω.

Next, we can combine this result in parallel with R3 (10.0 Ω) using the formula:

1/Req = 1/10.00 Ω + 1/10.0 Ω

Solving for Req gives us:

Req = 5.71 Ω

Finally, we can combine this result in series with R4 (7.00 Ω) to get the total equivalent resistance:

Req = 5.71 Ω + 7.00 Ω = 12.71 Ω

Rounding to three significant figures, we get:

Req ≈ 10.7 Ω

Therefore, the answer is C.

Resistors of Values R1 = 6

Resistors of Values R₁ = 6