Is there a convenient way (other than trial and error) to solve for the values of resistors in a circuit when only the equivalent resistance is given? There are no voltage or current sources. I am given an orientation of resistors (without the values), and I have to mimic the arrangement on a breadboard so that the equivalent resistance is 1k. I could solve the problem by trial and error and switching out resistors but that could take hours. I was wondering if there was an easier or mathematical way for solving something like this. Or maybe I could apply a voltage source to make the problem easier? Any help would be greatly appreciated.