Supernode: In Figure below; the branch current through the 6 V source is certainly no known and cannot be directly expressed using Ohm's law; a 6 V 4 mA 6 mA 6KD 312 kn. To solve this problem, we recall that (N-1) linearly independent equations are required to determine the (N-1) nonreference node voltages in an N-node circuit. Since our network has three nodes (Le /N-3), we need two lincarly independent equations. Now note that if somehow.one of the node.voltages is known, we immediately know the other (i.e., if , is known, then VV-6. If is known, then V=Vz+6, Therefore, the difference in potential between the two nodes is constrained by the voltage source and, hence; V-V6----(1) This constraint equation is one of the two lincarly independent equations needed to determine the node voltages. Next consider the network in Figure below, in which the 6V source is completely enclosed within the dashed surface. Juper node 6 V 36 kl 312 k 4 mA The constraint equation governs this dashed portion of the network. The emaining equation is obtained by applying KCL to this dashed surface, which is ommonly called a supernode Now we can apply KCL for the supernode as: 6 10-+ 6 10 4 10-3 =0 12-10

Shown in the figure below is an electrical circuit containing three resistors and two batteries. R3 10 R2 R1 Write down the Kirchhoff Junction equation and solve it for I, in terms of I, and Iz. Write the result here: Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise. Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components R1, R2, and 4V. The resistors in the circuit have the following values: R, = 130 • R2 = 50 R3 = 10 Solve for all the following (some answers may be negative): | Amperes I = I, = Amperes Iz = Amperes NOTE: For the equations, put in resistances and currents SYMBOLICALLY using variables like RR2,R3 and I,,12,13. Use numerical values of 10 and 4 for the voltages.

can someone explain the concepts and show me how to do this problem step by step

Hello, I really need help with that exercise (I added a picture about it). I need that for my ac/dc circuits engineering class.   All the best,