How are the five 1-ohm resistors configured inside the box?

[atul mittal]

Homework Statement

You are given a black box with three terminals, as shown below. The box is known to contain five 1-ohm resistors.

B
A
C

(d rectangle cannot b seen but jus imagine d rectange wid d terminal A on left side and B and C on d right side)
Using an ohm-meter, you measure the resistance between the terminals to be the following:
A - B: 1.5 ohms
B - C: 3 ohms
A - C: 2.5 ohms

Determine the configuration of the five resistors inside the box.

Homework Equations

i jus noe d basic eqns 4 solvin resistances in ! n series.

The Attempt at a Solution

resistances b/w B and C r 3 resistances in series and b/w A and B could like 1 in series n 2 in parallel,b/w Aand C could be 2 in series n 2 in parallel but d total resistances r jus 5. help !

 

[Jhero]

it is important to approach problems like this with a systematic and logical approach. First, let's label the resistors inside the box as R1, R2, R3, R4, and R5. We can then use the given resistance measurements to create a system of equations:

R1 + R2 = 1.5
R2 + R3 + R4 = 3
R1 + R3 + R5 = 2.5

We can solve this system using algebra and substitution to find that R1 = 0.5, R2 = 1, R3 = 0.5, R4 = 1, and R5 = 2. This means that the resistors are arranged in a series-parallel configuration, with R1 and R3 in series, R2 and R4 in parallel, and then all three branches in series. This configuration would result in a total resistance of 5 ohms.

In general, when faced with a problem like this, it is important to first identify the unknowns and then use the given information to create a system of equations. From there, you can use your knowledge of basic equations and principles to solve for the unknowns and determine the solution.