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How to Calculate the Voltage of a Resistor

October 31, 2023 by admin Category: How To

You are viewing the article How to Calculate the Voltage of a Resistor  at Tnhelearning.edu.vn you can quickly access the necessary information in the table of contents of the article below.

In electrical engineering and electronics, resistors are fundamental components that are used to regulate the flow of electric current within a circuit. Understanding the voltage across a resistor is crucial for designing and analyzing circuits. The voltage across a resistor can be determined by using Ohm’s Law, which states that the voltage applied across a resistor is directly proportional to the current flowing through it. By calculating the voltage of a resistor, engineers and technicians can ensure that the correct voltage is being supplied to a circuit and troubleshoot any issues related to electrical power distribution. This guide will provide a step-by-step explanation of how to calculate the voltage across a resistor, empowering individuals to make informed decisions in circuit design and troubleshooting.

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wikiHow is a “wiki” site, which means that many of the articles here are written by multiple authors. To create this article, volunteer authors have edited and improved the article over time.

This article has been viewed 68,936 times.

Before you can calculate the voltage of the resistor, you must first determine what type of circuit you are using. If you need to review the basics or need a little help understanding electrical circuits better, start with the first part. If not, skip it and go to the section about the type of circuit you need to deal with.

Table of Contents

  • Steps
    • Understanding electrical circuits
    • Calculate the voltage of the resistor (series circuit)
    • Calculate the voltage of the resistor (parallel circuit)
  • Advice

Steps

Understanding electrical circuits

Image titled Calculate Vptage Across a Resistor Step 1

Image titled Calculate Vptage Across a Resistor Step 1

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Learn about circuits. Imagine the circuit in the following way: imagine you are pouring a bag of corn kernels into a bowl. Each corn kernel is an electron (electron), and the flow of particles into the bowl is an electric current. [1] X Research Resources Serway, RA and John W. Jewett, Jr., Physics for Scientists and Engineers with Modern Physics. 8th edition. California: Brooks/Cpe. 2010. Ebook When talking about flow, you describe it by saying how many particles are moving per second.
Image titled Calculate Vptage Across a Resistor Step 2

Image titled Calculate Vptage Across a Resistor Step 2

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Think about electricity. Electrons carry a “negative” charge. That is, they attract (or move toward) the positively charged object, and repel (or move away from) the negatively charged object. Because they are all negative, the electrons are always trying to repel each other, scattering whenever possible.
Image titled Calculate Vptage Across a Resistor Step 3

Image titled Calculate Vptage Across a Resistor Step 3

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Understand voltage. Voltage is the difference in charge between two points. The larger the charge difference, the stronger the two ends attract each other. Here is an example of a typical battery:

  • In a battery, a chemical reaction takes place and electrons are accumulated. These electrons go towards the negative end, while the positive end remains in a near-empty state (They are called cathode and anode). The longer this process takes, the greater the voltage between the two ends.
  • When wiring between the cathode and anode, suddenly, the electron at the cathode has room to go. They shoot towards the anode, creating an electric current. The higher the voltage, the more electrons move towards the anode per second.
Image titled Calculate Vptage Across a Resistor Step 4

Image titled Calculate Vptage Across a Resistor Step 4

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Understand the concept of resistors. Resistor is exactly what its name implies. The higher the resistance of an object, the harder it is for electrons to move through the object. It slows down the flow of electricity, because now, in each second, less electrons can move through.

  • A resistor is anything that belongs to a circuit and adds resistance to the circuit. You can buy a real “resistor” at an electrical store, but in circuit problems, resistance is usually represented by a light bulb or any other resistive object.
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Image titled Calculate Vptage Across a Resistor Step 5

Image titled Calculate Vptage Across a Resistor Step 5

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Remember Ohm’s Law. There is a very simple relationship that exists between amperage, voltage and resistance. Write it down or memorize it – you’ll use it often when solving circuit problems:

  • Amperage = voltage divided by resistance
  • It is usually written as: I = V / R
  • Think about what happens when V (voltage) or R (resistance) is increased. Does it match what you learned in the explanation above?

Calculate the voltage of the resistor (series circuit)

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Image titled Calculate Vptage Across a Resistor Step 6

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Understand what is a series circuit. Series circuits are easy to identify. It’s just a coil, with everything lined up in a row. Current moves around the entire coil, passing through each resistor or component that makes up the circuit in turn.

  • The current is always the same at every point in the circuit. [2] X Research Source
  • When calculating voltage, the position of the resistor in the circuit does not matter. You can take and change the resistor position, the voltage of each resistor will remain the same.
  • Consider the example circuit with three resistors in series: R 1 , R 2 , and R 3 . This circuit is powered by a 12V battery. We will find the voltage of each resistor.
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Image titled Calculate Vptage Across a Resistor Step 7

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Calculate the total resistance of the circuit. Add up all the resistor values in the circuit. The answer obtained is the total resistance of the series circuit.

  • For example, the three resistors R 1 , R 2 , and R 3 have resistances of 2 Ω (ohm), 3 , and 5 Ω respectively. The total resistance of the circuit is 2 + 3 + 5 = 10 ohms.
Image titled Calculate Vptage Across a Resistor Step 8

Image titled Calculate Vptage Across a Resistor Step 8

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Find the amperage. Use Ohm’s law to find the total current in the circuit. Remember that in series circuits, the amperage is the same everywhere. Once we have calculated the line in this way, we can use it for any calculation.

  • Ohm’s law says that amperage I = V / R . The voltage across the circuit is 12 volts, and the total resistance is 10 ohms. The answer is I = 12 / 10 = 1.2 amp .
Image titled Calculate Vptage Across a Resistor Step 9

Image titled Calculate Vptage Across a Resistor Step 9

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Transform Ohm’s law to find the voltage. With basic algebra, we can transform Ohm’s law to find voltage instead of amperage:

  • I = V / R
  • IR = V R / R
  • IR = V
  • V = IR
Image titled Calculate Vptage Across a Resistor Step 10

Image titled Calculate Vptage Across a Resistor Step 10

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Calculate the voltage of each resistor. We know the resistance value, we know the amperage and we have the equation. Change numbers and solve. For the example problem, we have:

  • Voltage of R 1 = V 1 = ( 1.2A )( 2Ω ) = 2.4V.
  • Voltage of R 2 = V 2 = ( 1.2A )( 3Ω ) = 3.6V.
  • Voltage of R 3 = V 3 = ( 1.2A )( 5Ω ) = 6.0V.
Image titled Calculate Vptage Across a Resistor Step 11

Image titled Calculate Vptage Across a Resistor Step 11

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Check your answers. In a series circuit, the total voltage across all the resistors must be equal to the total voltage of the circuit. [3] X Research Source Add up all the voltages you have calculated and see if we get the full circuit voltage. If that doesn’t work, go back and find the error.

  • In our example: 2.4 + 3.6 + 6.0 = 12V, which is the total voltage of the circuit.
  • If the sum of the voltages is slightly lower (such as 11.97 instead of 12), you’ve probably rounded the number somewhere. Your answer is still correct.
  • Remember that voltage measures the difference in charge, or number of electrons. Imagine you are counting the number of electrons you see as you move along a circuit. If you count correctly, you will eventually get the total charge present in the electrons from start to finish.
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Calculate the voltage of the resistor (parallel circuit)

Image titled Calculate Vptage Across a Resistor Step 12

Image titled Calculate Vptage Across a Resistor Step 12

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Understand what is a parallel circuit. Visualize an electrical cord with one end located at the battery, the other end being split into two separate wires. These two wires run parallel to each other, and then connected again before reaching the other end of the battery. If there is a resistor on the left and right wires, then the two resistors are connected “in parallel”. [4] X Research Sources

  • Parallel circuits can have an arbitrary number of wires. This instruction still holds true for circuits that are divided into a hundred wires and then reassembled.
Image titled Calculate Vptage Across a Resistor Step 13

Image titled Calculate Vptage Across a Resistor Step 13

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Think about how current flows in a circuit. In a parallel circuit, current flows through every line it is supplied with. It will run through the left wire, pass the left resistor, and reach the other end. At the same time, it will also run through the right wire, through the right resistor, and to the other end. No part of the current flows back to or through both resistors in parallel.
Image titled Calculate Vptage Across a Resistor Step 14

Image titled Calculate Vptage Across a Resistor Step 14

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Use the full circuit voltage to find the voltage of each resistor. When the voltage of the whole circuit is known, it is surprisingly easy to find the voltage of each resistor. Each parallel wire has the same voltage as the voltage of the whole circuit. [5] X Research Source Suppose a circuit with two resistors in parallel is powered by a 6V battery. The voltage of the left resistor will be 6V and the voltage of the right resistor will also be 6V. It doesn’t matter how big the resistor value is. To understand why, let’s review the series circuit mentioned above:

  • Remember that in series circuits, the total voltage of the circuit is always equal to the sum of the voltages of each voltage drop.
  • Think of each line path as a series circuit. The same holds true: when you add up the voltages of the whole resistor, you will eventually get the full circuit voltage.
  • Since current flows through each wire through only one resistor, the voltage of that resistor must be equal to the total voltage.
Image titled Calculate Vptage Across a Resistor Step 15

Image titled Calculate Vptage Across a Resistor Step 15

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Calculate the total current in the circuit. If the problem doesn’t show the full circuit voltage, you’ll have to complete a few more steps. Start by finding the amperage going through that circuit. In a parallel circuit, the total current in the circuit is equal to the sum of the currents passing through each parallel branch. [6] X Research Resources Serway, RA and John W. Jewett, Jr., Physics for Scientists and Engineers with Modern Physics. 8th edition. California: Brooks/Cpe. 2010. Ebook

  • In mathematical terms: I sum = I 1 + I 2 + I 3 …
  • If it’s confusing, imagine a water pipe split in two. Total water flow is simply the amount of water flowing through each pipe added together.
Image titled Calculate Vptage Across a Resistor Step 16

Image titled Calculate Vptage Across a Resistor Step 16

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Calculate the total resistance of the circuit. In parallel circuits, resistors are not as effective because they only hinder the flow of current through a wire or bypass. In fact, the more circuits there are, the easier it is for the current to find its way to the other end. To find the total resistance of the circuit, solve the following equation and find the total R:

  • 1 / R sum = 1 / R 1 + 1 / R 2 + 1 / R 3 …
  • Take for example a circuit with 2 ohm and 4 ohm resistors installed in parallel. 1 / R sum = 1/2 + 1/4 = 3/4 → 1 = (3/4)R total → R sum = 1/(3/4) = 4/3 = ~1.33 ohms.
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  • Image titled Calculate Vptage Across a Resistor Step 17

    Image titled Calculate Vptage Across a Resistor Step 17

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    Find the voltage from the result obtained. Remember, once we have found the total voltage of the circuit, we have also found the voltage of each parallel wire. Using Ohm’s law, find the total voltage of the circuit. Eg:

    • Consider a circuit with a current of 5 amps flowing through it. The total resistance of the circuit is 1.33 ohms.
    • According to Ohm’s law, we have: I = V / R, hence: V = IR.
    • V = (5A)(1.33Ω) = 6.65V.
  • Advice

    • If you have a complex circuit with series and parallel resistors, choose two that are close together. Find their combined resistance using the appropriate series or parallel resistance rule. Now you can think of them as a single resistor. Do this until you get a simple circuit with resistors either in parallel, or in series. [7] X Research Sources
    • The voltage of a resistor is often called a “drop in voltage”.
    • Understand the term:
      • Circuit – consists of electrical circuit components (such as resistors, capacitors and inductors) that are connected by wires and where current can flow
      • Resistor – part that can reduce or hinder current
      • Amperage – the flow of charge entering the wire, unit: Amp, A
      • Voltage – work done to move a charged particle; Unit: Volt, V
      • Resistance of an object – measures its resistance to electric current; Unit: Hugs,
    X

    wikiHow is a “wiki” site, which means that many of the articles here are written by multiple authors. To create this article, volunteer authors have edited and improved the article over time.

    This article has been viewed 68,936 times.

    Before you can calculate the voltage of the resistor, you must first determine what type of circuit you are using. If you need to review the basics or need a little help understanding electrical circuits better, start with the first part. If not, skip it and go to the section about the type of circuit you need to deal with.

    In conclusion, calculating the voltage of a resistor is a fundamental skill in the field of electrical engineering. By utilizing Ohm’s Law, which states that voltage is equal to the current multiplied by the resistance, one can determine the voltage drop across a resistor. This calculation allows for the understanding and control of electrical circuits, enabling engineers to design efficient and safe systems. Additionally, applying Kirchhoff’s Voltage Law and other circuit analysis techniques can further enhance the accuracy and precision of voltage calculations. Overall, mastering the art of calculating the voltage of a resistor is crucial for anyone involved in electrical engineering, as it forms the foundation for more complex circuit analysis and design.

    Thank you for reading this post How to Calculate the Voltage of a Resistor at Tnhelearning.edu.vn You can comment, see more related articles below and hope to help you with interesting information.

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