Resistance equivalence


The equivalent resistance is defined as a point where the total resistance is measured in a parallel or series circuit (in either the whole circuit or in a part of the circuit). The equivalent resistance is defined between two terminals or nodes of the network.Oct 11, 2020


How to calculate total equivalent resistance?

  • The current is the same in every resistor; this current is equal to that in the battery.
  • The sum of the voltage drops across the individual resistors is equal to the voltage rating of the battery.
  • The overall resistance of the collection of resistors is equal to the sum of the individual resistance values,

How to determine the equivalent resistance?

The equivalent resistance of a number of resistors connected in parallel can be computed using the reciprocal of the resistance i.e. frac{1} {R}. The reciprocal of the equivalent resistance will be equal to the sum of the reciprocals of each resistance.

What is the definition of equivalent resistance?

The equivalent resistance represents the total effect of all resistors connected in the circuit, be it series or in parallel. The equivalent resistance can be measured in either a series or parallel circuit, so the total effect of resistors can also be ascertained by finding the equivalent resistance.

What is an equivalent resistance?

The equivalent resistance is defined as a point where the total resistance is measured in a parallel or series circuit (in either the whole circuit or in a part of the circuit). The equivalent resistance is defined between two terminals or nodes of the network. Equivalent resistance may sound complicated, but it’s just a technical way to say “total resistance”.


How do you find equivalent resistance?

The equivalent resistance is the algebraic sum of the resistances (Equation 10.3. 2): RS=R1+R2+R3+R4+R5=20Ω+20Ω+20Ω+20Ω+10Ω=90Ω. The current through the circuit is the same for each resistor in a series circuit and is equal to the applied voltage divided by the equivalent resistance: I=VRS=9V90Ω=0.1A.

What is a equivalent resistance?

The equivalent resistance is where the aggregate resistance connected either in parallel or series is calculated. Essentially, the circuit is designed either in Series or Parallel. Electrical resistance shows how much energy one needs when you move the charges/current through your devices.

What is the equivalent resistance in the circuit?

Equivalent Resistance: The equivalent resistance of a circuit is the total electrical resistance caused by all of the resistors in the circuit acting together against the voltage source. The following two problems demonstrate how to calculate equivalent resistance in a parallel circuit.

What is the equivalent resistance of the resistors?

The equivalent resistance of a set of resistors in a series connection is equal to the algebraic sum of the individual resistances. Figure 6.2. 2 (a) Three resistors connected in series to a voltage source. (b) The original circuit is reduced to an equivalent resistance and a voltage source.

What is the purpose of the equivalent resistance?

A connection of more than one resistance together is called a combination of resistances. Equivalent resistance: If a single resistance is used instead of a combination of resistance and if the current and potential difference is not changed in the circuit.

What is equivalent resistance in parallel?

If the two resistances or impedances in parallel are equal and of the same value, then the total or equivalent resistance, RT is equal to half the value of one resistor. That is equal to R/2 and for three equal resistors in parallel, R/3, etc.

How do you solve equivalent resistance problems?

Find equivalent resistance of the network. Find current in each resistor. Find voltage drops VAB,VBC,VCD. Medium.

Why is equivalent resistance less in parallel?

So, parallel resistors allow more current. This means that the system as a whole can let more current through, so its resistance is lower.

How do you find the equivalent resistance between a and B?

Solution : In (Fig. 3.22) (a), total resistance in the path `ACB`, i.e., `R_1 = 8.5 Omega + 3.5 Omega = 12 Omega`
Since `R_1 and R_2` are in parallel, the effective resistance between the points `A and B`, i.e.,
`R = (R_1 R_2)/(R_1 + R_2) = (3 xx 12)/(3 + 12) Omega = 2.4 Omega`
In (Fig.

What is equivalent resistance in series and parallel?

The method of calculating the circuits equivalent resistance is the same as that for any individual series or parallel circuit and hopefully we now know that resistors in series carry exactly the same current and that resistors in parallel have exactly the same voltage across them.

What is equivalent resistance?

What is Meant by the Equivalent Resistance? In Physics, an equivalent Resistance is defined as the sum of the resistance of the resistors connected in a circuit. The resistors can be connected in series or parallel. Assume that R1, R2 and R3 be the three resistors.

How to find the equivalent resistance of a resistor?

Step 1: Enter the resistance value separated by the comma, number of resistors and connection type in the respective input field. Step 2: Now click the button “Submit” to get the resistance. Step 3: Finally, the equivalent resistance will be displayed in the output field.


George B. Arfken, … Joseph Priest, in International Edition University Physics, 1984

Atomic, Molecular, and Optical Physics: Charged Particles

Several considerations are involved in choosing the correct amplifier to optimize the S/N ratio for an particular application. Often, these considerations are not independent, and compromises will be necessary.

Ohm’s Law: Electric Current Is Driven by Emf, and Limited by Electrical Resistance

Many, but not all, complex-looking circuits made up only of resistors can be analyzed in terms of resistors in series and in parallel. From Chapter 6, this also is true for circuits made up only of capacitors. Figure 7.6 presents a resistor circuit that can be so analyzed.

Electric Machines, Drives

The three control modes discussed above—change of number of pole pairs. variation of the supply voltage, and variation of the supply frequency—can also be used with wound-rotor induction machines. In addition, a fourth control mode, increase in rotor resistance, can be applied to this machine.

Electric Machines, Rotating, Construction and Theory

Leo Birenbaum, Enrico Levi, in Encyclopedia of Physical Science and Technology (Third Edition), 2003

III-Nitride Electronic Devices

The carrier flow in vertical devices consists of both lateral flow (in the 2DEG of a CAVET device or in the vertical insulated gate AlGaN/GaN) and the vertical flow in the substrate. The principle of lateral flow of carriers and their modulation by the gate is identical to lateral devices.


L.E. Fuentes-Cobas, … M.E. Fuentes-Montero, in Handbook of Magnetic Materials, 2011

Which factor is related to ESR?

Q factor, which is related to ESR and is sometimes a more convenient parameter than ESR to use in calculations of high-frequency non-ideal performance of real inductors, is quoted in inductor data sheets.

Why is DC wire resistance important?

The DC wire resistance is an important parameter in transformer and general inductor design because it contributes to the impedance of the component, and current flowing through that resistance is dissipated as waste heat, and energy is lost from the circuit.

What is ESR in capacitors?

However, they can be treated, to a very good degree of approximation, as being ideal capacitors and inductors in series with a resistance; this resistance is defined as the equivalent series resistance ( ESR ). If not otherwise specified, the ESR is always an AC resistance, which means it is measured at specified frequencies, 100 kHz for switched-mode power supply components, 120 Hz for linear power-supply components, and at its self-resonant frequency for general-application components. Additionally, audio components may report a ” Q factor “, incorporating ESR among other things, at 1000 Hz.

Can you use a simple model with capacitance in series?

For many purposes, a simple model with an inductance or capacitance in series with an ESR is good enough. These models, however simple or complex, can be inserted into a circuit to calculate performance.

Can polymer capacitors handle ripple?

Therefore, polymer capacitors can handle higher ripple current. From about 2007 it became common for better-quality computer motherboards to use only polymer capacitors where wet electrolytics had been used previously. The ESR of capacitors larger than about 1 μF is easily measured in-circuit with an ESR meter .

What is the difference between a resistor in series and a resistor in parallel?

Resistors in parallel, on the other hand, result in an equivalent resistance that is always lower than every individual resistor.

What happens when you add a resistor in parallel?

If you add another resistor in parallel with the first one, you have essentially opened up a new channel through which more current can flow.

Does the current change when you add resistors in parallel?

Keep in mind that the current through an individual resistor does not change when you add resistors in parallel, because adding resistors in parallel does not affect the voltage across the resistors’ terminals.

What is the equivalent resistance of the sum of the reciprocals of R and R?

Then, R 2 and R 3 have an equivalent resistance: RE = R 2 + R 3. RE and R 1 are parallel, therefore the equivalent resistance is the reciprocal of the sum of the reciprocals of RE and R 1.

How to find the total resistance of a circuit?

You divide your total voltage by total resistance. For example let’s say your voltage is 200V and your total resistance is 25 ohm, so it’s IT=VT/ RT=200/25 = 8A.

How to find the resistance of a series?

To calculate series resistance, which you should use when connecting the “out” side of one resistor to the “in” side of another in a circuit, use the formula Req = R1 + R2 + …. Rn. In this formula, n equals the number of resistors in a series. In order to find the parallel resistance, for when the “in” side and “out” sides of 2 or more resistors are connected, use the formula Req = 1/ { (1/R1)+ (1/R2)+ (1/R3)..+ (1/Rn) }. The solution will give you the total resistance for 2 or more resistors. To learn how to calculate resistance in a combined series, keep reading!

What is series resistance?

What it is. Series resistance is simply connecting the “out” side of one resistor to the “in” side of another in a circuit. Each additional resistor placed in a circuit adds to the total resistance of that circuit.

What happens when the sum of the resistors is smaller than the smallest resistor?

If the sum of the resistors is smaller than the smallest resistor, then it is parallel.

What happens to the resistance of a wire when it is cut into equal parts?

If the wire is cut into n equal parts, the resistance of each part becomes R/n due to decrease in length. When they are connected in parallel, the equivalent resistance becomes R/n^2. So their ratio will be 1/n^2.

When is net resistance minimum?

Net resistance is minimum when all the resistors are connected in parallel.


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