1 ΚΩ B (+- 10V 2 ΚΩ 13mA E 12 V 4 mA ww 4ΚΩ D 6 mA 2ΚΩ a) At which nodes can KCL be applied? b) Using the variables VA, VB, VC, VD, and VE for the voltages at the nodes: i) write the equations that are based on the voltage sources ii) write equations from applying KCL at single nodes iii) for the system of equations resulting from steps i and ii, write the augmented matrix for inputting into the rref Octave/MatLab function

Please answer #4 and #5

only 11

consider the following circuit composed of three resistors and two batteries. each resistor has a resistance of 2.00 ohms. assume that the branch currents flow in the directions indicated in the figure. note that: I = 0.600 A I = 0.800 A E1= 10.0V R1= 10 ohms R3= 5 ohms Solve: a.) Write out the equation relating the currents by using the junction rule at node a. Additionally, what is the magnitude of I3? b.) What is the resistance of R2? c.) what is E2?

Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C2. Vacuum permitivity, co = 8.854 x 10 12 F/m. Magnetic Permeability of vacuum, Ho = 12.566370614356 x 10-' H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10–19 C. Mass of one electron, me = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. a R5 R3 e R9 R, R6 R8 Ry K Suppose you have the following circuit diagram. Here R1 =1.1 kN, R2 = 3.3 kN, R3 = 2.2 kN, R4 = 22 kN, R5 = 22 kN, Rg = 11 kN, R7 = 11 kN, Rg = 11 kN, R9 = 1.1 kN are the resistances on the circuit where kN stands for kilo ohm. The electromotive forces of the batteries are & = 5 volts and Ez = 3 volts. a) Calculate Rik. the resistance equivalent to R5, Re, R7, Rg and R9 between the terminals b and k. Value of Rhk Give your answer to at least two significance digits. Ω b) Calculate the current through R1.

Q2: A PMMC(Galvanometer instrument) has a resistance of 10052 and FSD for a current of 400Au. A shunt arrangement is shown in order to have an multi-range ammeters(AYRTON). Determine the various ranges to which the ammeter may be switch. Assume the R1-R2-R3-R4-0.00152. PMMC 10052

In the figure is shown a battery having an emf of 12 Volts and an internal resistance of 0.40 Ohm.A resistor R1 of 2.6 Ohms is connected across itsterminals ab. Determine (a) resistance of Rwhich, when connected across terminals ab inparallel with R1 will make the powerdelivered by the battery a maximum; (b)current in R1 and R; (c) terminal voltage ofbattery; (d) power in R1 and in R; (e) power lost in batteryHint: To maximize power in R, use differentiation In the circuit shown, a 6-Ohm resistor connected in series to a parallel combination of tworesistors, one is 30-Ohm and the other is R beingunknown. Determine the value of R if: (a) thepower dissipated in 6-Ohm resistor is equal tothe power in the parallel combination; (b) hepower in 6-Ohm is equal to the power of in R; (c)value of R maximum power transfer.Hint: To maximize power in R, use differentiation

Sample Problem continued with solution process Step 1: Drawing a circuit diagram and labeling the unknowns. All told there are 5 elements, 4 resistors and 1 voltage source. For resistors I intentionally label the currents going from + to -. That way, I can write V = I R. If I labeled the current through a resistor from – to + as I, then I have to write the equation by Ohm's law as V = -I R. For convenience I label the current i, through the voltage source from – to +. (There is no Ohm's law for a source to follow. Do not try to have a resistance in a source. What is a V, 3 + (1 |1A 10 Ω + V, iş V2 20 i2 V3 + 2 20Ω 4 İz I then examine the circuit. I see that this is a obvious consequence of the labeling: iz = i,= i, All are current going through one path with the same direction as I labeled. If I had labeled one in the opposite direction, I just had to put in a minus sign. source? A voltage source is to guarantee the voltage drop from its + to its – a fixed voltage V,. I denote four…

could you help me please it's one question

PLS SHOW COMPLETE SOLUTION AND WRITE LEGIBLY.  PLS PLS DRAW THE CIRCUIT DIAGRAMS AND SHOW ALL CIRCUIT TRANSFORMATIONS UNTIL IT WAS SIMPLIFIED.