📘 circuit analysis

1. **Enunciado do problema:** Calcular a tensão e resistência de Thévenin entre os terminais a e b do circuito dado. 2. **Fórmulas e regras importantes:**

1. **Problem Statement:** We have an RLC circuit with a 1 H inductor, a 1/50 F capacitor, and resistors of 4 Ω and 5 Ω arranged in a series-parallel configuration. The switch opens

1. Problem statement: We have a circuit with a voltage source $V_1=20$ V in parallel with a resistor $R_1=10\,\Omega$, and that parallel pair is in series with $R_2=5\,\Omega$, $R_

1. **Problem Statement:** Find the voltage $v_o$ across the 2 $\Omega$ resistor using the Superposition Theorem.

1. **Problem statement:** Find the equivalent voltage source of the given current source circuit at terminals A-B.

1. مسئله: تحلیل مدار داده شده شامل یک منبع ولتاژ DC برابر 1.2 ولت، مقاومت 30 اهم، منبع جریان AC 5\cos\omega t میلی‌آمپر، دیود با افت ولتاژ 0.7 ولت، مقاومت 70 اهم، خازن با ظرفیت بی‌

1. **Problem Statement:** Find the input impedance $Z_{in}$ of the given circuit at angular frequency $\omega = 10\,000$ rad/s (10 krad/s). 2. **Circuit Elements and Values:**

1. **Problem Statement:** Given a series circuit with a voltage source $v_s = 20 \sin(10t + 30^\circ)$ V, a resistor $R = 4\ \Omega$, and an inductor $L = 0.2$ H, find the voltage

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