Kevin Zhou — E&M Review Problem 2 · Kevin Zhou #ERev.2
Physics · electromagnetism
Problem
Problem 3 (Kalda). Not all circuits are made of only series and parallel combinations. The Y-∆
transform is the next simplest tool you can use. Consider the two sets of resistors shown below.
The two are equivalent provided that
R R 1 1/R R
AB BC B C
R = , =
A
R +R +R R 1/R +1/R +1/R
AB AC BC BC A B C
along with cyclic permutations. As an application, consider the circuit below.
Find the current through the battery using a Y-∆ transform.