📘 electrical engineering

1. **State the problem:** We have a circuit with nodes a, b, and c (ground). Resistors are between nodes: $R_{ab}=2\ \Omega$, $R_{ac}=5\ \Omega$, $R_{bc}=10\ \Omega$. Current sourc

1. **State the problem:** We need to find the nodal voltages $V_1$ and $V_2$ in the given circuit using nodal analysis. 2. **Identify nodes and reference:** Let the bottom node be

1. **Find the equivalent resistance between terminals A and B for the two circuits:** (i) Circuit 1:

1. **State the problem:** We have a circuit with a voltage source $E=10.5$ V and resistors $R_1=860\ \Omega$, $R_2=3.68\ \text{k}\Omega=3680\ \Omega$, $R_3=854\ \Omega$, and $R_4=3

1. **Problem statement:** Find the transfer function $H(s) = \frac{V_o(s)}{V_i(s)}$ or equivalent for each circuit (a), (b), (c), and (d). ---

1. Problem (a): Find the transfer function $\frac{e_o}{e_i}$ for the op amp circuit with resistors $R_1$, $R_2$, $R_3$ and capacitors $C_1$, $C_2$. Step 1: Identify the configurati

1. **Problem Statement:** We have a 4-wire three-phase system with currents $I_1=8A$, $I_2=5A$, and $I_3=4A$. We need to:

1. **State the problem:** We have a synchronous generator and motor with given ratings and sub-transient reactances. The motor is drawing 18,000 kW at 0.85 power factor leading and

1. **Problem statement:** Determine the equivalent resistance $R_{AB}$ between terminals A and B for an infinite resistive ladder with repeating units consisting of a 20Ω resistor

1. Problem (a)(i): Calculate the upper and lower threshold voltages of the inverting Schmitt trigger. - Given: Zener voltage $V_Z = 4.3$ V, forward barrier voltage $V_F = 0.7$ V, r

1. **State the problem:** We need to find the currents $i_1$, $i_2$, and $i_3$ in the circuit using Kirchhoff's Current Law (KCL), which states that the algebraic sum of currents e

1. Problem: Design circuits for the output equation $Vo = 2V1 + 4V2 + 3V3$. 2. Identify constants and variables: The output voltage $Vo$ depends on inputs $V1$, $V2$, and $V3$ with

1. **Problem Statement:** Calculate the indicated currents and voltage for the given circuit (Fig. 7) which includes resistors $R_1=4k\Omega$, $R_2=8k\Omega$, $R_3=12k\Omega$, $R_4

1. Stating the problem: Find voltages $V_1$, $V_3$, $V_{ab}$, and the source current $I_s$ in the given circuit with resistors $R_1=5\ \Omega$, $R_2=3\ \Omega$, $R_3=6\ \Omega$, $R

1. **Problem statement:** Given an electrical circuit with resistors $R_1 = R_3 = 10\,\Omega$, $R_2 = 5\,\Omega$, inductor $L_1 = 0.0318\,H$, and capacitor $C_3 = 3.184 \times 10^{

1. **Problem Statement:** Given a circuit with resistors $R_1=R_3=10\ \Omega$, $R_2=5\ \Omega$, inductor $L_1=0.0318\ H$, capacitor $C_3=3.184\times10^{-4}\ F$, and two AC sources:

1. **State the problem:** We are given currents $I = 5$ A entering node $a$ and $I_2 = 4$ A flowing through resistor $R_2$. We need to determine currents $I_1$, $I_3$, $I_4$, and $

1. **Problem statement:** Given an AC circuit with resistors $R_1=R_3=10\ \Omega$, $R_2=5\ \Omega$, an inductor $L_1=0.0318\ \text{H}$, a capacitor $C_3=3.184\times10^{-4}\ \text{F

1. **Stating the problem:** We have a three-branch AC circuit with voltage sources:

1. **Ohm's Law**: The relationship between voltage ($V$), current ($I$), and resistance ($R$) is given by $$V = IR$$. This means voltage equals current multiplied by resistance.

1. **Problem 2.13: Use KCL to find the branch currents $I_1$ to $I_4$**. Given currents in the circuit: