Please provide a detailed solution (I have recently begun studying electrical circuits, that’s why I need a detailed solution) for this problem: Answer is 9.6 Ohm
you can divide a heart-shaped wire into two types of resistances as shown below
first two combinations are given in order to find some connection between r_1 and r_2 and then you can find the resistance of the final one
Ok so, in first diagram r1 and 2*r2 are in parallel and they are in series with another same combination. Now, in 2nd diagram how will we think?? Could you solve it please!
r_1+r_2 and r_2 are parallel and in series with the same one
Oh ok, thanks! I’ll solve now further
I have got values of r1 = 8 and r2 = 12 . Are these correct? Also, now how to redraw third diagram?
yes
then you redraw the circuit in the following way
you may prove that, by symmetry, the current through central r_2 ’s doesn’t flow so we can “delete” them
Ok, thanks! I understood now.