📘 circuit analysis

1. **Problem Statement:** Find the inductor current $l(t)$ and the voltage $v_x(t)$ across the 1 $\Omega$ resistor in the given circuit, with initial condition $l(0) = 5$ A.

1. **State the problem:** Find the current $I_o$ flowing through the 15 $\Omega$ resistor using Norton’s theorem. 2. **Identify the portion of the circuit for Norton’s theorem:** R

1. **Problem Statement:** Find the maximum power transferred across the terminals a-b in the given circuit. 2. **Identify the circuit elements and variables:**

1. **State the Principle of Superposition (PS):** The Principle of Superposition states that in a linear circuit with multiple independent sources, the total response (voltage or c

1. **Problem Statement:** Find the current $i_x$ in the given AC circuit using nodal analysis. 2. **Given:** Voltage source $v_s = 20\cos 4t$ V, resistor $R = 10\ \Omega$, capacito

1. **State the problem:** Find the power dissipated by resistor $R_L$ using the superposition theorem given:

1. **Problem Statement:** Determine the Thevenin equivalent voltage ($V_{TH}$) and Thevenin equivalent resistance ($R_{TH}$) seen from terminals A and B when a 68 Ω resistor is con

1. **Problem Statement:** We have a circuit with multiple resistors, a 12 V voltage source, and a 2 mA current source. We want to find the voltage $V_0$ at the output node.

1. **Problem Statement:** We need to find the Thevenin voltage $V_{th}$ by short circuiting terminals AB. 2. **Concept:** The Thevenin voltage $V_{th}$ is the open-circuit voltage

1. **Nêu bài toán:** Tìm giá trị dòng điện $i(t)$ qua tụ và điện áp $v(t)$ trên tụ trong mạch điện hình 1.14 tại trạng thái ổn định một chiều.

1. **Problem Statement:** Find the Thevenin equivalent voltage ($V_{th}$) and Thevenin equivalent resistance ($R_{th}$) seen from open-circuited terminals A and B for each given ci

1. **State the problem:** We need to find the Thevenin equivalent circuit to the left of terminals (a) and (b) in the given circuit, then find the current $i$ flowing downward thro

1. **State the problem:** We need to find the current through the 10 Ω resistor in the given circuit using the superposition principle. The circuit has two voltage sources (50 V an

1. **State the problem:** Find the current through the 15 Ω resistor using the Superposition principle in the given circuit with voltage sources 30 V and 60 V and resistors 30 Ω, 1

1. **State the problem:** We need to find the current through the 2-Ω resistor between points a and b in the given circuit using the superposition principle. 2. **Identify sources:

1. **State the problem:** We need to find the power dissipated in the 9-Ω resistor using the nodal voltage method for the given circuit.

1. Problem statement: A power supply has an open-circuit terminal voltage set to $40$ V and when a load $R_L=500$ ohm is connected the terminal voltage falls to $38.5$ V. 2. What h

1. **State the problem:** Find the Thevenin and Norton equivalent circuits seen from terminals a-b for the given circuit. 2. **Identify variables and components:** The circuit has

1. **State the problem:** We need to find the currents through the 5-ohm resistors in the given circuit with two voltage sources (10 V and 5 V) and three resistors (3 Ω, 5 Ω, and 6