Why is a current divider expression considered a shortcut in circuit analysis? It allows you to find the current through an individual resistor using a single expression instead of writing a bunch of KCL/KVL equations and plugging them into each other. Because if you divide anything, it is shorter than what you started with.

30. For the input waveforms in Figure 5-61, what logic circuit will generate the output waveform shown? A Inputs B C Output X FIGURE 5-61 ad points in the proper rela.

Series circuit resistance

Please ignore the values that are written those are based off the IP value. I need real help determining the V and I for each resistor. Please see the image attached.

Shown in the figure below is an electrical circuit containing three resistors and two batteries. I₁ 0= 4 + L . ww R3 R₂ ww 1₂ R₁ ww Write down the Kirchhoff Junction equation and solve it for I, in terms of I₂ and I3. Write the result here: 1₁ = 12-13 R₂=552 R₂ = 132 13 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. - IzR3 − LR₁ + 14 + 10 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 4V, R₂, and R₁. 0 = 4-1₂R₂-11R₁ The resistors in the circuit have the following values: R₁ = 12 Solve for all the following (some answers may be negative): I₁ = 27.78 X Amperes 1₂ = 28.84 X Amperes 13 = 1.060 X Amperes NOTE: For the equations, put in resistances and currents SYMBOLICALLY using variables like R₁,R₂,R3 and 11,12,13. Use numerical values of 10 and 4 for the voltages.

What is the role of resistor R3 in getting the low bias current we are obtaining out of the Widlar source? I don't really know the importance of R3 when looking at the figure. Is it because it controls the amount of current flowing through the transistor?