Five resistors of resistance ‘R’ are connected such that they form a letter ‘A’. Find the effective resistance across the free ends.

The simple resistors must be identified and after that they must be first solved and when they are solved look for again the simple resistors pattern solve till you end up with only one resistor.

We will solve diagram by diagram,

First we will add the two top most resistors because they are in series, we get ,

Now the two topmost resistors are parallel to each other because their free ends are attached to same points if we look it as wire.

We get,

Now these three are in series with each other, so we will add them simply like we are adding integers.

We will get,

Therefore, the total or the resultant resistance is = 8R/3 ohm.