Electronics S1W7: Resistors in Parallel

Name: Electronics S1W7: Resistors in Parallel
Rating: 4.7 (41 reviews)

Students will learn how to solve parallel resistive circuits for voltage, current and resistance.

Created byRichard Vannoy II

Last updated 8/2015

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What you'll learn

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.

Course content

4 sections • 14 lectures • 2h 25m total length

Introduction to Parallel Resistance13:26
Identify the defining features of parallel circuits, including same voltage across all components and multiple current paths, and learn how total resistance decreases as more resistors are added.
Proving that Total Parallel Resistance is Less Than the Smallest Resistor13:40
Prove that the total resistance in a parallel circuit is always less than the smallest resistor and show that the voltage across parallel components remains the same using Ohm's law.
Parallel Resistance Basics
Conductance and the Parallel Resistance Formula13:06
Learn the parallel resistance formula, 1/R_total = 1/R1 + 1/R2 + ..., and its reciprocal conductance G, for quick, accurate circuit calculations.

Practice Parallel Resistance Problem9:58
Practice solving a parallel circuit with the reciprocal (one over) formula to find total resistance, then use Ohm's law to distribute currents through 75, 47, and 27 ohm branches.
Solve a Parallel Resistive Circuit9:16
Learn to solve parallel resistor circuits using the reciprocal formula to find total resistance and branch currents, with the voltage across components, and explore open-circuit effects.
Parallel Resistance Formulas
The Product Over the Sum Formula12:58
Learn to apply product over the sum formula for two resistors in parallel, compare it with the reciprocals method, and compute total resistance, voltage, and branch currents using ohm's law.
Practice Problem; Kirchhoff's Current Law (KCL)8:57
Apply Kirchoff's current law to balance currents at a node in a parallel resistor circuit, using Ohm's law to determine individual resistor values and total resistance.
Product Over the Sum and Kirchhoff's Current Law (KCL)
The Current Divider Formula8:42
Learn to apply the current divider formula to calculate branch currents in a parallel circuit, showing how current splits inversely with resistor values and sums to total current.
Parallel Notation and Resistance of Same Value Resistors11:03
Learn to use the double vertical bar for parallel notation and apply the total resistance formula R_T = R / N for same-value resistors.
Current Divider, Parallel Notation & same value resistors

Solving a Series and a Parallel Circuit11:58
Compare series and parallel circuits to apply voltage, current, and resistance rules, solve with ohm's law, and understand how total resistance and branch currents differ.
Sample Parallel Resistance Problems3:54
Practice seven parallel resistor problems to master calculating total resistance, total current, and branch currents. Use the current divider formula and Ohm's law to solve for each scenario.
Solving Parallel Circuits

Power in Parallel Circuits8:30
Compute and verify power in parallel circuits by applying ohm's law to each resistor, summing individual powers to equal total power, with same voltage across components.
Summary of Series and Parallel Rules, Part 111:14
This lecture contrasts series and parallel circuits, detailing current behavior, voltage drops, and resistance. It covers the voltage divider, current division, and Kirchhoff's voltage law.
Summary of Series and Parallel Rules, Part 28:51
Explore series and parallel rules for resistors, including the voltage across parallel components, currents summing in parallel, total resistance via reciprocal rule and product over sum shortcut, and Kirchhoff's laws.
Power & Summary

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.

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.

Who this course is for:

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.

Electronics S1W7: Resistors in Parallel

What you'll learn

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Course content

Introduction to Parallel Resistance3 lectures • 40min

Solving Parallel Resistance Circuits6 lectures • 1hr 1min

Sample Problems with Solutions2 lectures • 16min

Power in Parallel Circuits and Summary of Series and Parallel Rules3 lectures • 29min

Requirements

Description

Who this course is for: