In the following network of 12 identical resistances, calculate the equivalent resistance between points A and C

Explanation

An imaginary battery
of emf `epsilon` is assumed across the
terminals A and C.
Step.2 the current in each branch
is distributed by assuming 4i
current coming out of the battery.
Step 3 We apply KVL along the
outer loop including the nodes A,
B,C and the battery E. Voltage
equation is
`-2iR - iR - iR - 2iR + E = 0 `
Step4 After solving the above
equation, we get `6iR = E`. The
equivalent resistance between A and C is
`R = (E)/(4i) (6iR)/(4i) = (3)/(2)R`