Calculate the equivalent resistance in this circuit ...

Name the junctions A, B, C and D Now you can note that as the junction A and C is shorted they are one and the same Similarly the junctions B and D will be one and the same as they are shorted

Now redraw the diagram considering only the junctions A and B

You can notice that the resultant diagram will be in the form of three resistors in a parallel circuit

Then effective resistance of resistors in Parallel is given by 1/Rs=1/R1 + 1/R2 + 1/R3

On solving using R1=8ohm R2=4ohm and R3=8ohm The value of Rs will be 2ohm

No calculations required. As they are in parallel first 8 in parallel with 8 gives equivalent resistance 4 which again in parallel with 4 gives 2 as final answer.

here by rearranging the network ,3 resistors are in parallel so by using formula we can solve

With the 4 ohm removed, the 8 ohms are just in parallel as 4 ohms. Any added connection must make a smaller resistance; further, the 4 ohm resistor crossing the parallel is in parallel with the resultant 4 ohm again. As a result, two 4 ohms in parallel make 2 ohms as a whole. No complicated situation involved.

No Current will go through the 4. End up with 2 8's in parallel and so answer is 4