Question

what is the resistance between A and B in the network shown in the figure
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Answer 1

Answer:

Given:

A circuit has been provided. The circuit consists of a combination of resistances.

The 2 terminals are A and B.

To find:

Equivalent resistance between A and B

Concept:

In this type of circuits , you directly cannot use parallel and series combinations.

So the trick is to apply potential drops along the resistances. This would help to simplify the circuit.

After that, you can apply series or parallel combination of resistances.

Diagram:

Please refer to the attached photo to understand better .

Calculation:

As you can see from the diagram,

all the resistance are having the same potential drops.

So they are in Parallel combination.

Let Equivalent resistance be Req.

1/Req. = 1/R + 1/R + 1/R

=> 1/Req. = 3/R

=> Req. = R/3.

Answer 2

Answer:

r/3

Explanation:

The answer is proved below in the attachment.