A wire of resistance 15.0 Ω is bent to form a regular hexagon ABCDEFA. Find the equivalent resistance of the loop between the points A and B, B A and C and C A and D.

, and

Resistance of wire is .

Resistance of each arm is

The following figure shows the setup of resistor.

All other arms are collectively in series and parallel to arm AB.

The equivalent resistance of all other arms are:

Hence, the resistance across AB is

BAll other arms are collectively in series and parallel to arm AC. AC has two series resistors.

The equivalent resistance of all other arms are:

Hence, the resistance across AB is

CAll other arms are collectively in series and parallel to arm AD. AD has three series resistors.

The equivalent resistance of all other arms are:

Hence, the resistance across AB is