Four resistors, 125 Ω, 150 Ω, 350 Ω, and 375 Ω, are connected to form four sides of a square. The resistors can be connected in any order. What is the maximum possible equivalent resistance (in Ω ) across the diagonal of the square?

Question

Four resistors, 125 Ω, 150 Ω, 350 Ω, and 375 Ω, are connected to form four sides of a square. The resistors can be connected in any order. What is the maximum possible equivalent resistance (in Ω ) across the diagonal of the square? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Considering resistors are connected as shown in figure below. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/38e72444e94743e9a3d2f8351d3312c1-.png" /> ∴ R text eff max =(500 × 500/500+500)=250 Ω

Q. Four resistors, $125 Ω, 150 Ω, 350 Ω$ , and $375 Ω$ , are connected to form four sides of a square. The resistors can be connected in any order. What is the maximum possible equivalent resistance (in $Ω$ ) across the diagonal of the square?

Considering resistors are connected as shown in figure below.

$∴ R_{eff m a x} = \frac{500 \times 500}{500 + 500} = 250 Ω$

Q. Four resistors, 125Ω,150Ω,350Ω, and 375Ω, are connected to form four sides of a square. The resistors can be connected in any order. What is the maximum possible equivalent resistance (in Ω ) across the diagonal of the square?

Considering resistors are connected as shown in figure below. ∴Reff max​=500+500500×500​=250Ω

Q. Four resistors, $125 Ω, 150 Ω, 350 Ω$ , and $375 Ω$ , are connected to form four sides of a square. The resistors can be connected in any order. What is the maximum possible equivalent resistance (in $Ω$ ) across the diagonal of the square?

Considering resistors are connected as shown in figure below.

$∴ R_{eff m a x} = \frac{500 \times 500}{500 + 500} = 250 Ω$