Electronics S1W7: Resistors in Parallel

Students will learn how to solve parallel resistive circuits for voltage, current and resistance.
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  • Lectures 14
  • Length 2.5 hours
  • Skill Level Beginner Level
  • Languages English
  • Includes Lifetime access
    30 day money back guarantee!
    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 8/2015 English

Course Description

During this course, the student will learn and apply the principles, laws and formulas that will lead to the solution of problems in parallelresistive circuits. By the end of this course, you will:

- Be able to state why the total resistance in any parallel resistance circuit is always smaller than the value of the smallest resistor in the circuit.

- Learn and demonstrate the use of the Parallel Resistance Formula to determine the resistance of parallel circuits.

- Apply the Product Over the Sum method to accurately determine the total resistance of any two parallel resistors.

- Learn and apply Kirchhoff's Current Law and the Current Divider Formula to determine the current flow in different branches of a parallel circuit.

- Learn how to correctly use the bar-bar symbol (||) to correctly write the formula for any parallel resistance circuit.

- State and apply the formula that will allow you to determine the total resistance of any number of resistors that have the same value.

- Solve seven parallel resistance problems presented by the instructor, using all of the rules and formulas you have learned to this point. The instructor will give you a detailed solution to each of the problems.

- Demonstrate that you can compute the total power in a circuit, and the individual power for each component.

Summary of Series and Parallel CircuitsThe course concludes with a thorough review of all of the formulas and laws of series and parallel resistance that you have learned so far.

This course presumes some knowledge of series resistive problems. These topics were covered in the prerequisite course: "Electronics S1W5:Resistors in Series". If you did not complete this course, you should be familiar with Ohm's Law and Kirchhoff's Voltage Law, so that you can solve series resistive circuits.

This course is composed of fourteen videos with a total rumnning time of about 2.5 hours. Most videos run for 8 to 13 minutes, and each teaches one or more of the concepts shown in the bullet points above.

If you are headed for a career in electronics, or want to become a serious electronics hobbyist, or just want to know how electronics works, then this is a course for you.

What are the requirements?

  • No software, materials or supplies are required for this course.
  • A knowledge of series resistance rules and Ohm's Law are presumed. This information is covered in my course: Electronics S1W5: Resistors in Series.

What am I going to get from this course?

  • Prove that the total resistance in any parallel resistance circuit is smaller than the value of the smallest resistor.
  • Apply the Product Over the Sum Formula to determine the total resistance of any two resistors.
  • Apply Kirchhoff's Law and the Current Divider Formula to determine the individual branch currents in a parallel circuit.
  • Accurately solve parallel circuits for their resistances, voltages and currents.
  • Correctly determine the power for individual resistors and the total power in a parallel circuit.

Who is the target audience?

  • If you are one of the following, this is an appropriate course for you:
  • An electronics professional who wants to review their skills.
  • Any individual desiring to pursue an electronics career.
  • A hobbyist who wants to know how electronic circuits work.

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.


Section 1: Introduction to Parallel Resistance
Introduction to Parallel Resistance
Proving that Total Parallel Resistance is Less Than the Smallest Resistor
6 questions

This quiz examines your understanding of the first two lectures on the basics of parallel resistive circuits

Conductance and the Parallel Resistance Formula
Section 2: Solving Parallel Resistance Circuits
Practice Parallel Resistance Problem
Solve a Parallel Resistive Circuit
3 questions

This quiz examines your understanding of several formulas used in determining resistance and current in parallel resistive circuits.

The Product Over the Sum Formula
Practice Problem; Kirchhoff's Current Law (KCL)
6 questions

quiz tests your understanding of the Product Over the Sum formula and Kirchhoff's Current Law.

The Current Divider Formula
Parallel Notation and Resistance of Same Value Resistors
5 questions

This quiz covers the topics of lectures 8 and 9.

Section 3: Sample Problems with Solutions
Solving a Series and a Parallel Circuit
Sample Parallel Resistance Problems
4 questions

This quiz checks your knowledge of solving parallel circuit problems.

Section 4: Power in Parallel Circuits and Summary of Series and Parallel Rules
Power in Parallel Circuits
Summary of Series and Parallel Rules, Part 1
Summary of Series and Parallel Rules, Part 2
6 questions

This quiz asks about power in parallel circuits and the rules of series and parallel circuits.

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Instructor Biography

Richard Vannoy, College programming, database and electronics instructor

College teacher for computer programming (C, C++, Visual Basic, Python, Java), database (SQL, Access), microcontrollers, Programmable Logic Controllers, basic and intermediate electronics for seventeen years. Teaching awards include Instructor of the Quarter (Four Awards), Regional Instructor of the Quarter, Employee of the Year, Employee of the Month (Two Awards)

Ten years employed as computer programmer.

Degrees: Computer Programming, Electronics, Information Technology.

Interests: Arduino, 8051 Assembly Programming, robotics, electronics

Founder and past president of San Diego Robotics Society. Member and guest lecturer Riverside and Long Beach Robotics Societies.

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