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Courses/Engineering/Electrical Engineering Basics

Mastering Loop Analysis: Circuit Solving Simplified

Stop guessing at currents and voltages—learn the systematic loop method to solve any DC or AC circuit with confidence.

Created byFoad Alvandi
BeginnerUpdated Apr 1, 2026
Mastering Loop Analysis: Circuit Solving Simplified

What You'll Learn

check_circleApply Kirchhoff’s Voltage and Current Laws to verify circuit specifications.
check_circleFormulate linear simultaneous equations for multi-loop DC and AC circuits.
check_circleSolve complex circuit networks using matrix math and loop current analysis.
check_circleDetermine branch currents and voltages using Ohm's law and loop results.

About This Course

Are complex electrical networks leaving you tangled in a web of equations? Do you struggle to determine the correct currents and voltages in multi-loop circuits?

Welcome to Mastering Loop Analysis: Circuit Solving Simplified. Loop analysis (also known as Mesh Analysis) is one of the most foundational and powerful tools in an electrical engineer’s toolkit. Yet, many students get lost in sign conventions, overlapping currents, and confusing algebra. This course is designed to eliminate the frustration and replace it with a clear, repeatable, and foolproof system for solving any circuit.

Whether you are staring down a daunting college exam, building your own electronics projects, or simply brushing up on your physics, this course will take you from the absolute basics of Kirchhoff’s Voltage Law (KVL) to solving highly complex networks with multiple power sources.

Through highly visual explanations, step-by-step walkthroughs, and plenty of practice problems, we will break down the math and the physics so you can stop memorizing and start truly understanding.

What You Will Learn:

  • The Fundamentals: A quick, solid review of Ohm’s Law and Kirchhoff’s Voltage Law (KVL).
  • The Step-by-Step Method: A foolproof, standardized approach to setting up loop currents and writing flawless equations every single time.
  • Navigating Sign Conventions: Never get a "+" or "-" sign wrong again when dealing with resistors, batteries, and current directions.
  • Conquering the Supermesh: Learn exactly what to do when a current source is shared between two loops (the most common stumbling block for students!).
  • Dependent & Independent Sources: Understand how to handle circuits containing voltage-controlled and current-controlled sources.
  • Math Made Easy: Practical techniques for solving the resulting simultaneous linear equations, including substitution, matrix methods, and calculator shortcuts.

Who This Course is For:

  • University Students: Electrical, Computer, Mechanical, and Mechatronics engineering students taking their first Linear Circuits or Network Analysis class.
  • High School Students: AP Physics or advanced science students looking to ace the electricity and magnetism portions of their exams.
  • Hobbyists & Makers: Electronics enthusiasts who want to understand the theory behind the circuits they are building on their breadboards.
  • Anyone who wants to transition from guessing circuit answers to solving them with mathematical certainty.

Prerequisites:

  • Basic understanding of electricity (Voltage, Current, Resistance).
  • Familiarity with Ohm’s Law ($V = IR$).
  • Basic algebra skills (ability to solve systems of linear equations).

Ready to become a circuit-solving master? Enroll today and transform the way you look at electrical networks!

Your Instructor

Foad Alvandi
Foad Alvandi

Professional Engineer with over 40 years of experience

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star5 reviews

Mr. Foad Alvandi is an online PDH course provider of continuing education for LearnFormula Mr. Alvandi holds a Bachelor of Science degree in Electrical Engineering and a Master of Science degree in Electrical and Computer Engineering from George Mason University. He is a registered Professional Engineer in the State of Maryland. Mr. Alvandi is a seasoned engineer with over 40 years of experience in the electrical and solar power industries, as well as a number of years of teaching experience. He is an adjunct professor with Johns Hopkins University and presently teaches the graduate-level “Introduction to Electrical Power Systems” course in their online EP (Engineering for Professionals) program. He has retired in recent years from full-time work in the industry, but continues to teach and keeps updated on the latest developments in the solar and electrical power industries in general.

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We are a registered provider with 327+ associations and regulatory bodies worldwide. We operate across 29 global markets including Canada, the US, Australia, and the UK. Every course page clearly displays its specific accreditations. Upon completion, you receive a professional certificate that can be validated online. Our certificates include all necessary accreditation details, credit hours, and completion dates, and are formatted specifically to meet the submission requirements of most global regulatory bodies.

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