📘 electrical engineering

1. **Problem statement:** We are given the impedance $Z$ of a parallel circuit as $$\frac{1}{Z} = \frac{1}{R} + j\omega L + j\omega C$$

1. **Stating the problem:** We want to simplify the expression $$\frac{1}{z} = \frac{1}{R + j\omega L} + j\omega C$$ and check the correctness of the working for the specific value

1. **Stating the problem:** We are given a network of resistors with values $R_1=8\Omega$, $R_2=18\Omega$, $R_3=9\Omega$, $R_4=20\Omega$, $R_5=5\Omega$, $R_6=1\Omega$, and $R_7=2\O

1. **State the problem:** Calculate the total inductance $L_T$ of the given circuit with inductors $L_1$ to $L_7$ having values 1mH, 3mH, 2mH, 4mH, 5mH, 6mH, and 7mH respectively.

1. **State the problem:** We need to find the current $I_{AB}$ in the given circuit using the Superposition theorem. The circuit has a 6A current source, a 5\,\Omega resistor, a 2\

1. **State the problem:** We need to find the current through the 15 \(\Omega\) resistor in the given circuit using the nodal method. 2. **Identify nodes and assign voltages:** Let

1. **Problem Statement:** Write the nodal equilibrium equations for the circuit in Fig. 2.92 with nodes K1, K2, K3 having voltages $V_1$, $V_2$, and $V_3$ respectively, and find th

1. **State the problem:** We have a circuit with nodes a, b, c, and d, resistors between nodes, and current sources. We need to find currents $I_{ab}$ (between a and b), $I_{bd}$ (

1. **State the problem:** We have a circuit with nodes a, b, and c (ground). Given conductances and current sources, we need to find node voltages $V_1$ (at node a) and $V_2$ (at n

1. **State the problem:** We have a circuit with two voltage sources (25 V and 50 V) and resistors arranged with nodes A and B. We need to find the node voltages $V_1$ (at node A)

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