KIRCHHOFF'S LAWS in multiloop circuits with multiple batteries скачать в хорошем качестве

KIRCHHOFF'S LAWS in multiloop circuits with multiple batteries

45. In Fig. 27.37, the resistances are R1 = 1.0 Ω and R2 = 2.0 Ω, and the ideal batteries have emfs ℰ1 = 2.0 V and ℰ2 = ℰ3 = 4.0 V. What are the (a) size and (b) direction (up or down) of the current in battery 1, the (c) size and (d) direction of the current in battery 2, and the (e) size and (f) direction of the current in battery 3? (g) What is the potential difference V a – Vb? 🔋 Multi-Loop Circuit with Multiple Batteries | Halliday Resnick Fig. 27.37 | Current & Potential Difference 🔌 In this video, we analyze a more advanced multi-loop circuit from Halliday, Resnick & Walker, Figure 27.37. The circuit contains three ideal batteries and two resistors (R1 = 1.0 Ω, R2 = 2.0 Ω), with emfs ℰ1 = 2.0 V and ℰ2 = ℰ3 = 4.0 V. We solve for the following: (a) The magnitude of the current through battery 1 (b) The direction of current in battery 1 (up or down) (c) The magnitude of the current through battery 2 (d) The direction of current in battery 2 (up or down) (e) The magnitude of the current through battery 3 (f) The direction of current in battery 3 (up or down) (g) The potential difference Va – Vb We apply Kirchhoff’s loop rules, junction rule, and Ohm’s Law to systematically solve the circuit step by step. Perfect for mastering complex circuit analysis techniques often encountered in physics courses and exams. 📘 Based on: Fundamentals of Physics by Halliday, Resnick, and Walker 📊 Topics: Kirchhoff’s Rules, Multi-Loop Circuits, Ohm’s Law, EMF Sources, DC Circuit Analysis 🧠 Ideal for: AP Physics, college physics students, and engineering circuits review 👍 Be sure to like, subscribe, and explore our playlist on Halliday Resnick circuit problems to boost your understanding and exam performance! #PhysicsCircuit #KirchhoffsRules #DCcircuits #HallidayResnick #MultiLoopCircuits #CircuitAnalysis #PhysicsTutorial #EngineeringBasics #OhmsLaw 🔌 HALLIDAY-RESNICK EXAMPLE: SOLVING A MULTI-LOOP CIRCUIT (FIGURE 27.2.5) 🔋 In this video, we walk through a detailed solution of a classic example problem from Halliday, Resnick, and Walker, Chapter 27 — Direct Current Circuits. The problem involves analyzing a circuit with two voltage sources and two resistors to determine the magnitude and direction of current in each of the three branches. 📚 Problem Statement: Given a circuit with: ℰ₁ = 3.0 V (ideal battery) ℰ₂ = 6.0 V (ideal battery) R₁ = 2.0 Ω R₂ = 4.0 Ω We are asked to: ✅ Apply Kirchhoff’s Loop Rule and Kirchhoff’s Junction Rule ✅ Find the current in each branch (including sign and direction) ✅ Interpret sign conventions and validate results using loop consistency 🧠 Key Concepts Covered: Kirchhoff’s Rules: Junction and Loop Sign conventions for emf and resistor voltage drops Systems of linear equations to solve for currents Physical interpretation of negative and positive currents ✍️ Step-by-Step Breakdown: Drawing loop current directions Writing loop equations for the left and right mesh Solving the system of equations using substitution or elimination Verifying consistency at the junction 🔍 Whether you're studying for your physics exams or reinforcing your circuit analysis skills, this example is an essential part of understanding how to analyze DC circuits involving multiple power supplies. 📘 Based on: Halliday & Resnick Fundamentals of Physics, 11th Edition, Chapter 27 Example Problem (Fig. 27.2.5) 👍 Don’t forget to LIKE, SUBSCRIBE, and hit the 🔔 to support the channel and stay updated with more physics and electrical engineering walkthroughs! #HallidayResnick #CircuitAnalysis #KirchhoffsRules #DCcircuits #PhysicsTutorial #MeshAnalysis #JunctionRule #VoltageLoop #CurrentDirection #ElectromotiveForce