# Parallel and Series Resistor Calculator Easily calculate parallel and series resistor values with our accurate, user-friendly tool designed to streamline electrical design processes. Written by [Jharwin Barrozo](https://www.flux.ai/jharwinbarrozo) Published Apr 2023 - 3 min read ![Parallel and Series Resistor Calculator](https://www.flux.ai/main.webp) > 💡 Did you know that one of the capabilities of Flux Copilot, an AI powered hardware design assistant is its ability to calculate the total resistance between any two points in your schematic diagram? You can effortlessly determine the overall resistance, making complex calculations a breeze. Try Flux now, and best of all, [it's completely free](https://www.flux.ai/signup)! This means you don't need to do any calculations or formula anymore. Through a simple chat interface, just simply ask Copilot, > "[@copilot](https://www.flux.ai/signup) *what is the total resistance across terminal 1 and terminal 2?"* and wait a moment for Flux Copilot to response with the calculated total resistance value. It can even determine series or/and parallel resistor configuration automatically. It's like your holding a physical ohm meter and reading the actual resistance of a circuit. [See it for yourself!](https://www.flux.ai/signup) ### Understanding Parallel and Series Resistor Configurations As electronics enthusiasts and professionals, we are always on the lookout for tools that can streamline our design process and improve our understanding of circuit behavior. The parallel and series resistor calculator is one such indispensable tool that enables efficient and accurate analysis of resistor networks. In this comprehensive guide, we will explore the concept of parallel and series resistors, the importance of resistor calculators, and the benefits they provide. ### Parallel Resistors Parallel resistors refer to resistors connected end-to-end, sharing the same voltage across their terminals. When resistors are connected in parallel, their combined resistance is less than the smallest individual resistor's value. The total resistance in a parallel configuration is given by the formula: ```swift 1/R_total = 1/R1 + 1/R2 + ... + 1/Rn ``` ### Series Resistors Series resistors are connected in a way that the end terminal of one resistor is connected to the starting terminal of the next resistor. In series configuration, the current flows sequentially through each resistor, and there is only one current path through the entire resistor network. The resistors should beconnected end-to-end, with no junction points or branches between them. Worth noting that same current flows through each resistor in this configuration, and the voltage drop across each resistor is proportional to its resistance. The total resistance in a series configuration is simply the sum of the individual resistances: ```ini R_total = R1 + R2 + ... + Rn ``` ### The Need for Parallel and Series Resistor Calculators Manual calculations can be tedious, time-consuming, and error-prone, particularly when dealing with multiple resistors or complex circuits. This is where parallel and series resistor calculators come into play, offering valuable benefits such as: - Simplified and accurate calculations - Time and effort savings - Enhanced circuit analysis - Reduced risk of design errors ### How Parallel and Series Resistor Calculators Work Parallel and series resistor calculators are designed to provide quick and accurate results for resistor networks. These calculators generally include the following features: - User-friendly interfaces for entering resistor values - Options for selecting parallel or series configuration - Auto-calculation of total resistance - Conversion between different units (e.g., ohms, kilohms, or megaohms) ### Applications of Parallel and Series Resistor Calculators These resistor calculators are valuable tools for professionals and hobbyists alike. Some common applications include: - Circuit design and analysis - Troubleshooting existing circuits - Component selection for specific resistance values - Educational purposes (e.g., teaching and learning about resistor networks) Parallel and series resistor calculators are essential tools for anyone working with electronic circuits. They simplify calculations, save time and effort, and reduce the risk of design errors. By understanding their significance and choosing the right calculator, you can ensure that your projects run smoothly and efficiently. So, go ahead and harness the power of these indispensable tools to elevate your circuit design skills to new heights. Working out a resistor pair to drop a supply rail instead? Use the [voltage divider calculator](https://www.flux.ai/p/tools/voltage-divider-calculator) — enter Vin, R1 and a target Vout and it solves R2 exactly, along with the nearest standard E-series part. Working from parts you already have? Our [resistor color code calculator](https://www.flux.ai/p/tools/resistor-color-code-calculator) reads the resistance, tolerance and temperature coefficient off 4-, 5- and 6-band resistors, and converts a value back into its bands. ## About the author [Jharwin Barrozo](https://www.flux.ai/jharwinbarrozo) Electronics Engineer at Flux Jharwin is an electronics engineer mainly focused on satellites. He built his own ground station using Flux to monitor RF activities on the International Space Station. Find him on Flux [@jharwinbarrozo](https://flux.ai/jharwinbarrozo) Let’s start building Build your big idea together with Flux. All you need to do is describe what you want to make, or what problem you want to solve. Flux will work with you to make it a reality. ![Close-up photo of a PCB made with Flux, with an ESP32 module, buttons, and a microSD slot.](https://www.flux.ai/p/assets/blogs/miscellaneous/sidebar-cta-pcb.webp) [Try it Free](https://www.flux.ai/signup) ## More in PCB Design & Engineering Fundamentals [ ![What Is a PCB? A Beginner's Guide to Printed Circuit Board Design](https://www.flux.ai/p/assets/blogs/what-is-a-pcb/main.webp) ### What Is a PCB? 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Read](https://www.flux.ai/p/blog/amps-vs-volts-understanding-the-key-differences)[ ![Never Worry About Stackups Again: Introducing the Stackup Editor](https://www.flux.ai/p/assets/blogs/stackup_editor/main.webp) ### Never Worry About Stackups Again: Introducing the Stackup Editor 3 Min Read](https://www.flux.ai/p/blog/never-worry-about-stackups-again-introducing-the-stackup-editor)[ ![Flux Stackup Editor showing a Standard 4-Layer PCB stackup with Top Copper, Mid-Layer 1, Mid-Layer 2, and Bottom Copper signal layers separated by Prepreg and Core dielectric materials, with layer thicknesses and dielectric constants configured for impedance-controlled PCB design.](https://www.flux.ai/p/assets/blogs/multilayer-pcb-design/main.webp) ### Multilayer PCB Design: Best Practices for Circuit Board Layout 8 Min Read](https://www.flux.ai/p/blog/multilayer-pcb-design-best-practices)[ ![An illustrated guide to PCB materials comparing FR4 and advanced substrates for high-performance circuit board design](https://www.flux.ai/p/assets/blogs/pcb-materials-guide/main.webp) ### How to Choose PCB Materials: FR4 vs Advanced Substrates 7 Min Read](https://www.flux.ai/p/blog/pcb-materials-guide)[ ![A detailed illustration showing the cross-section of a multilayer PCB with different via types including through-hole, blind, buried, and microvias](https://www.flux.ai/p/assets/blogs/pcb-via-types-guide/main.webp) ### Blind Vias, Buried Vias, and Microvias: A Complete Guide to PCB Via Types 12 Min Read](https://www.flux.ai/p/blog/pcb-via-types-guide)[ ![A 2d view and layout of a pcb board design showing different type of vias](https://www.flux.ai/p/assets/blogs/different-type-vias/main.webp) ### Exploring Different Types of Vias in PCB 2 Min Read](https://www.flux.ai/p/blog/exploring-different-types-of-pcb-vias)[ ![A complex PCB board with high-density interconnect (HDI) technology, featuring advanced routing on each of its copper layers.](https://www.flux.ai/p/assets/blogs/smart-micro-vias-blind-buried-vias/main.webp) ### High-Density PCBs just got easier with Smart Vias 4 Min Read](https://www.flux.ai/p/blog/high-density-pcbs-just-got-easier-with-smart-vias)[ ![A detailed illustration of a multilayer PCB cross-section showing via stitching connecting ground planes across layers](https://www.flux.ai/p/assets/blogs/via-stitching-pcb-guide/main.webp) ### How to Use Via Stitching in PCB Design 11 Min Read](https://www.flux.ai/p/blog/via-stitching-pcb-guide)[ ![An illustration of PCB design constraints showing electrical, mechanical, and manufacturing rules](https://www.flux.ai/p/assets/blogs/pcb-design-constraints/main.webp) ### PCB Design Constraints: What Engineers Need to Know 7 Min Read](https://www.flux.ai/p/blog/pcb-design-constraints)[ ![PCB constraint management showing how engineers control layout rules for routing, spacing, and impedance](https://www.flux.ai/p/assets/blogs/pcb-constraint-management/main.webp) ### PCB Constraint Management: How Engineers Control Layout Rules 6 Min Read](https://www.flux.ai/p/blog/pcb-constraint-management)[ ![Design Rule Checking (DRC) in PCB Design: Real-Time vs Batch, Rules, and Common Failures](https://www.flux.ai/p/assets/blogs/pcb-drc/main.webp) ### Design Rule Checking (DRC) in PCB Design: Real-Time vs Batch, Rules, and Common Failures 8 Min Read](https://www.flux.ai/p/blog/pcb-design-rule-checking-drc)[ ![ERC vs DRC in PCB design showing the difference between electrical rule checks and design rule checks](https://www.flux.ai/p/assets/blogs/erc-vs-drc/main.webp) ### Electrical Rule Check (ERC) vs DRC in PCB Design 7 Min Read](https://www.flux.ai/p/blog/erc-vs-drc)[ ![A guide to PCB design reviews covering schematic, layout, and DFM checks for catching errors early](https://www.flux.ai/p/assets/blogs/pcb-design-review-process/main.webp) ### PCB Design Reviews: Best Practices for Catching Errors Early 6 Min Read](https://www.flux.ai/p/blog/pcb-design-review-process)[ ![Common PCB Design Mistakes and How to Avoid Them](https://www.flux.ai/p/assets/blogs/pcb-design-mistakes/main.webp) ### Common PCB Design Mistakes and How to Avoid Them 31 Min Read](https://www.flux.ai/p/blog/pcb-design-mistakes)[ ![Image showing a stack of printed circuit boards (PCBs) with a large white 'X' over them, highlighting '5 Common Mistakes in PCB Design.' The background features intricate PCB traces in red and blue on a dark surface, with a purple gradient highlighting the title. The image emphasizes errors commonly made in PCB design, such as layout, signal integrity, and component placement.](https://www.flux.ai/p/assets/blogs/5-common-mistakes-in-pcb-design/main.webp) ### 5 Common PCB Design Mistakes and How to Avoid Them 7 Min Read](https://www.flux.ai/p/blog/5-pcb-design-mistakes-that-could-ruin-your-board)[ ![A guide to PCB silkscreen design covering labeling, readability, and common manufacturing mistakes](https://www.flux.ai/p/assets/blogs/pcb-silkscreen-design/main.webp) ### PCB Silkscreen Design: Guidelines and Common Mistakes 7 Min Read](https://www.flux.ai/p/blog/pcb-silkscreen-design)[ ![Advanced complex PCB boards using Flux's Smart Polygons](https://www.flux.ai/p/assets/blogs/smart-polygons/main.webp) ### Smart Polygons: Advanced PCB Design Just Got Easier 4 Min Read](https://www.flux.ai/p/blog/smart-polygons-advanced-pcb-design-just-got-easier)[ ![A complex printed circuit board with lots of electronic components. A 3D render of the PCB on Flux.](https://www.flux.ai/p/assets/blogs/new-3d-render/main.webp) ### Automatically Create Photorealistic PCB Renders 3 Min Read](https://www.flux.ai/p/blog/automatically-create-photorealistic-pcb-renders)[ ![A tool on Flux to measure the distance between two pads in PCB editor with a text mm to mil conversion.](https://www.flux.ai/p/assets/blogs/mm-to-mil/main.webp) ### How to Convert from MM to Mils: a Guide for Beginners 4 Min Read](https://www.flux.ai/p/blog/how-to-convert-from-mm-to-mils-a-guide-for-beginners)[ ![Illustration of a printed circuit board showing solder mask over copper traces and exposed pads.](https://www.flux.ai/p/assets/blogs/what-is-solder-mask/main.webp) ### What Is Solder Mask? Materials, Colors, and PCB Design Rules 6 Min Read](https://www.flux.ai/p/blog/what-is-solder-mask)[ ![Designing Custom PCB Outlines: Fixing DXF and SVG Import Failures](https://www.flux.ai/p/assets/blogs/import-dxf-board-outline-error/main.webp) ### Designing Custom PCB Outlines: Fixing DXF and SVG Import Failures 6 Min Read](https://www.flux.ai/p/blog/import-dxf-board-outline-error)[ ![PCB Enclosure Design: How to Design an Enclosure](https://www.flux.ai/p/assets/blogs/pcb-enclosure-design/main.webp) ### PCB Enclosure Design: How to Design an Enclosure 13 Min Read](https://www.flux.ai/p/blog/pcb-enclosure-design)[ ![A guide to PCB component selection covering electrical specs, footprints, thermal performance, and sourcing best practices](https://www.flux.ai/p/assets/blogs/component-selection-pcb-design/main.webp) ### Component Selection in PCB Design: How Engineers Choose the Right Parts 7 Min Read](https://www.flux.ai/p/blog/component-selection-pcb-design)[ ![Flux Copilot’s new AI-powered part search makes finding and placing components faster and easier using natural language.](https://www.flux.ai/p/assets/blogs/smarter-part-search/main.webp) ### Smarter Part Search Just Got a Major Upgrade 6 Min Read](https://www.flux.ai/p/blog/smarter-part-search-just-got-a-major-upgrade)[ ![A detailed illustration showing PCB footprint design with pad layout, silkscreen markings, and courtyard boundaries](https://www.flux.ai/p/assets/blogs/pcb-footprint-design-guide/main.webp) ### How to Design a PCB Footprint (Step-by-Step Guide) 8 Min Read](https://www.flux.ai/p/blog/pcb-footprint-design-guide)[ ![A close-up xray of printed circuit board with its multi-layer traces featuring short circuit and over current protection.](https://www.flux.ai/p/assets/blogs/protection-circuit-101/main.webp) ### Protection Circuit 101: Securing Your Electronics from Overcurrent and Short Circuits 5 Min Read](https://www.flux.ai/p/blog/protection-circuit-101-securing-your-electronics-from-overcurrent-and-short-circuits)[ ![Diagram of a simple circuit with an inductor and a flyback diode. The resistor represents the resistance of the inductor's windings.](https://www.flux.ai/p/assets/blogs/flyback-diodes/main.webp) ### Understanding the Flyback Diode: Your Essential Guide to Functionality and Why You Need One 3 Min Read](https://www.flux.ai/p/blog/understanding-the-flyback-diode-your-essential-guide-to-functionality-and-why-you-need-one)[ ![3D render of a zener diode with its electronic symbol and pinout which consists of anode and cathode](https://www.flux.ai/p/assets/blogs/what-is-zener-diode/main.webp) ### What Is a Zener Diode? How It Works and Where It’s Used 5 Min Read](https://www.flux.ai/p/blog/what-is-a-zener-diode-an-essential-breakdown)[ ![A cross-section through an nMOSFET when the gate voltage VGS is below the threshold for making a conductive channel; there is little or no conduction between the terminals drain and source; the switch is off. When the gate is more positive, it attracts electrons, inducing an n-type conductive channel in the substrate below the oxide (yellow), which allows electrons to flow between the n-doped terminals; the switch is on.](https://www.flux.ai/p/assets/blogs/mosfet-basics/main.webp) ### Understanding the Fundamentals: MOSFET Basics for Beginners 6 Min Read](https://www.flux.ai/p/blog/understanding-the-fundamentals-mosfet-basics-for-beginners)[ ![Typical schematic diagram of LM741, a classic operational amplifier](https://www.flux.ai/p/assets/blogs/lm741/main.webp) ### LM741 Pinout: A Deep Dive into a Classic Op Amp 4 Min Read](https://www.flux.ai/p/blog/lm741-pinout-a-deep-dive-into-a-classic-op-amp)[ ![An assortment of variable resistors displayed on a dark background with the text 'Variable Resistors' at the top and a circuit symbol for a variable resistor in the center](https://www.flux.ai/p/assets/blogs/6-types-of-variable-resistors/main.webp) ### 6 Types of Variable Resistors: a Detailed Look at Their Uses 6 Min Read](https://www.flux.ai/p/blog/6-types-of-variable-resistors-a-detailed-look-at-their-uses)[ ![A resistor showing its different color bands](https://www.flux.ai/p/assets/site-cms/643f890cd71a69ee18b71efa_resistor-color-code-calculator.png) ### Resistor Color Code Calculator 4 Min Read](https://www.flux.ai/p/blog/resistor-color-code-calculator)[ ![A comparison illustration of SMT and through-hole PCB assembly technologies](https://www.flux.ai/p/assets/blogs/smt-vs-through-hole/main.webp) ### SMT vs Through-Hole Technology: Which Should You Use? 8 Min Read](https://www.flux.ai/p/blog/smt-vs-through-hole)[ ![A person soldering a circuit board made with Flux](https://www.flux.ai/p/assets/blogs/flux-soldering/main.webp) ### How to Use Flux When Soldering Electronics 13 Min Read](https://www.flux.ai/p/blog/solder-flux-guide-for-soldering)[ ![Different types of toggle switches scattered and a big text - Toggle switch](https://www.flux.ai/p/assets/blogs/toggle-switch/main.webp) ### The Ultimate Guide to Toggle Switches: Types, Uses, and How They Work 3 Min Read](https://www.flux.ai/p/blog/the-ultimate-guide-to-toggle-switches-types-uses-and-how-they-work)[ ![A push button switch soldered on a rigid-flex printed circuit board](https://www.flux.ai/p/assets/blogs/push-button/main.webp) ### What Is the Science Behind Push Button Switches and How They Work 6 Min Read](https://www.flux.ai/p/blog/what-is-the-science-behind-push-button-switches-and-how-they-work)[ ![Tactile Switches: Wiring, Debouncing, and PCB Design](https://www.flux.ai/p/assets/blogs/tactile-switches-guide/main.webp) ### Tactile Switches: Wiring, Debouncing, and PCB Design 8 Min Read](https://www.flux.ai/p/blog/tactile-switches-guide)[ ![Close up of different types of electrical connectors, wire connectors, and solder connectors piled up.](https://www.flux.ai/p/assets/blogs/electrical-connectors/main.webp) ### Electrical Wire Connector Types and Uses 4 Min Read](https://www.flux.ai/p/blog/the-ultimate-guide-to-electrical-connectors-and-wiring-connection)[ ![An illustration of PCB debugging tools and techniques including multimeter, oscilloscope, and thermal imaging](https://www.flux.ai/p/assets/blogs/pcb-debugging-common-issues/main.webp) ### Why Your PCB Is Failing: Debugging Common Issues 7 Min Read](https://www.flux.ai/p/blog/pcb-debugging-common-issues)[ ![555 Timer Guide: Pinout, Operating Modes, and Circuit Examples](https://www.flux.ai/p/assets/blogs/555-timer/main.webp) ### 555 Timer Guide: Pinout, Operating Modes, and Circuit Examples 10 Min Read](https://www.flux.ai/p/blog/555-timer)[ ![Inverting Op-Amp Circuits: Formula, Gain, and Design Examples](https://www.flux.ai/p/assets/blogs/inverting-op-amp/main.webp) ### Inverting Op-Amp Circuits: Formula, Gain, and Design Examples 10 Min Read](https://www.flux.ai/p/blog/inverting-op-amp)[ ![How to Wire a Potentiometer: Pinout, Diagrams, and PCB Examples](https://www.flux.ai/p/assets/blogs/how-to-wire-a-potentiometer/main.webp) ### How to Wire a Potentiometer: Pinout, Diagrams, and PCB Examples 8 Min Read](https://www.flux.ai/p/blog/how-to-wire-a-potentiometer) See All (107) ## Let’s start building. Let’s build your idea together. All you need to do is describe what you want to make, or what problem you want to solve. Flux will work with you to make it a reality. [Try it Free](https://www.flux.ai/signup) ![Close-up of a Flux-designed printed circuit board](https://www.flux.ai/p/assets/homepage-v2/mission-visual.webp)