@Hesch I got the 6 equations as follows:
i2+i6=4*i1
i3+i1=4*i2
i2+i4=4*i3
i3+i5=4*i4
i4+i6=4*i5
i1+i5=4*i6
Then,the solution of these six equations is i1=i2=i3=i4=i5=i6=0 !
All the currents in all loops is coming as 0!
What does that mean??
I considered a potential for each node and then applied Kirchhoff 's current law at each junction I got about 10 equations with 10 variables.
For example for the node a : (a-11)/6+(a-b)/6+(a-f)/6=0 .
[Resistance of each side is 6 ohms]
But solving so many equations manually is really tough...
That will make it too complicated.I mean there must be a simpler way! This problem was a 3 min MCQ question in my institute's previous year's question paper!
https://brilliant.org/problems/hexagonal-grid/
I've been pondering on this but not being able to solve.I mean applying Kirchoff's law here is of no use.
Any ideas?