Question

Consider the following figure. Note: The currents are not necessarily in the direction shown. (Assume R1 = 31.0 Ω, R2 = 2.5 Ω, and V = 39 V.) A rectangular circuit begins at a battery on the bottom side labeled V with its positive terminal to the left of its negative terminal and extends leftward through resistor R2 with current I2 moving leftward. The circuit continues upward and then to the right on the top side where it splits into two parallel horizontal branches. The top branch contains resistor R1 with current I1 moving rightward. The bottom branch contains a 24 Ω resistor with current I24 moving rightward. The top and bottom branches recombine and continue rightward and then downward and finally leftward to battery V completing the circuit. (a) Find the current in each resistor of the figure above by using the rules for resistors in series and parallel. 2.5 Ω A 31.0 Ω A 24 Ω A (b) Write three independent equations for the three currents using Kirchoff's laws: one with the node rule; a second using the loop rule through the battery, the 2.5-Ω resistor, and the 24.0-Ω resistor; and the third using the loop rule through the 31.0-Ω and 24.0-Ω resistors. Solve to check the answers found in part (a). (Submit a file with a maximum size of 1 MB.)

Answer 1