(a) Find the current in each resistor of the figure below by using the rules for resistors in series and parallel.
(b) Write three independent equations for the three currents using Kirchoff's laws: one with the node rule; a second using the loop rule though the battery, the 6-ohm resistor, and the 24-ohm resistor; and the third using the loop rule though the 12 ohm and 24-ohm resistors. Solve to check the answers found in part (a).