Series Field Resistance of Series DC Motor given Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shunt Field Resistance = ((Supply Voltage-Motor Speed*Constant of Machine Construction*Magnetic Flux)/Armature Current)-Armature Resistance
Rsh = ((Vs-N*Kf*Φ)/Ia)-Ra
This formula uses 7 Variables
Variables Used
Shunt Field Resistance - (Measured in Ohm) - Shunt Field Resistance is a device that creates a path that has a low resistance for electric current to flow in a dc motor circuit.
Supply Voltage - (Measured in Volt) - Supply Voltage is the input voltage being fed to the dc motor circuit. It affects various motor parameters, such as speed, torque, and power consumption.
Motor Speed - (Measured in Radian per Second) - Motor speed refers to the rotational speed of a motor, indicating how fast the motor's shaft or rotor is rotating.
Constant of Machine Construction - Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex.
Magnetic Flux - (Measured in Weber) - Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.
Armature Current - (Measured in Ampere) - The armature current plays a crucial role in determining the performance and operation of a DC motor. It affects the motor's torque production, speed, and efficiency.
Armature Resistance - (Measured in Ohm) - The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.
STEP 1: Convert Input(s) to Base Unit
Supply Voltage: 240 Volt --> 240 Volt No Conversion Required
Motor Speed: 1290 Revolution per Minute --> 135.088484097482 Radian per Second (Check conversion ​here)
Constant of Machine Construction: 1.135 --> No Conversion Required
Magnetic Flux: 1.187 Weber --> 1.187 Weber No Conversion Required
Armature Current: 0.724 Ampere --> 0.724 Ampere No Conversion Required
Armature Resistance: 80 Ohm --> 80 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rsh = ((Vs-N*Kf*Φ)/Ia)-Ra --> ((240-135.088484097482*1.135*1.187)/0.724)-80
Evaluating ... ...
Rsh = 0.114247571944546
STEP 3: Convert Result to Output's Unit
0.114247571944546 Ohm --> No Conversion Required
FINAL ANSWER
0.114247571944546 0.114248 Ohm <-- Shunt Field Resistance
(Calculation completed in 00.010 seconds)

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Resistance Calculators

Series Field Resistance of Series DC Motor given Speed
​ LaTeX ​ Go Shunt Field Resistance = ((Supply Voltage-Motor Speed*Constant of Machine Construction*Magnetic Flux)/Armature Current)-Armature Resistance
Series Field Resistance of Series DC Motor given Voltage
​ LaTeX ​ Go Series Field Resistance = ((Supply Voltage-Armature Voltage)/Armature Current)-Armature Resistance
Armature Resistance of Series DC Motor given Voltage
​ LaTeX ​ Go Armature Resistance = ((Supply Voltage-Armature Voltage)/Armature Current)-Series Field Resistance

Series Field Resistance of Series DC Motor given Speed Formula

​LaTeX ​Go
Shunt Field Resistance = ((Supply Voltage-Motor Speed*Constant of Machine Construction*Magnetic Flux)/Armature Current)-Armature Resistance
Rsh = ((Vs-N*Kf*Φ)/Ia)-Ra

How does a DC series motor work?

In a DC motor, the stator provides a rotating magnetic field that drives the armature to rotate. A simple DC motor uses a stationary set of magnets in the stator, and a coil of wire with a current running through it to generate an electromagnetic field aligned with the centre of the coil.

How to Calculate Series Field Resistance of Series DC Motor given Speed?

Series Field Resistance of Series DC Motor given Speed calculator uses Shunt Field Resistance = ((Supply Voltage-Motor Speed*Constant of Machine Construction*Magnetic Flux)/Armature Current)-Armature Resistance to calculate the Shunt Field Resistance, The Series Field Resistance of Series DC Motor given Speed formula is defined as the resistance of the series field winding of the series DC motor. Shunt Field Resistance is denoted by Rsh symbol.

How to calculate Series Field Resistance of Series DC Motor given Speed using this online calculator? To use this online calculator for Series Field Resistance of Series DC Motor given Speed, enter Supply Voltage (Vs), Motor Speed (N), Constant of Machine Construction (Kf), Magnetic Flux (Φ), Armature Current (Ia) & Armature Resistance (Ra) and hit the calculate button. Here is how the Series Field Resistance of Series DC Motor given Speed calculation can be explained with given input values -> -0.885752 = ((240-135.088484097482*1.135*1.187)/0.724)-80.

FAQ

What is Series Field Resistance of Series DC Motor given Speed?
The Series Field Resistance of Series DC Motor given Speed formula is defined as the resistance of the series field winding of the series DC motor and is represented as Rsh = ((Vs-N*Kf*Φ)/Ia)-Ra or Shunt Field Resistance = ((Supply Voltage-Motor Speed*Constant of Machine Construction*Magnetic Flux)/Armature Current)-Armature Resistance. Supply Voltage is the input voltage being fed to the dc motor circuit. It affects various motor parameters, such as speed, torque, and power consumption, Motor speed refers to the rotational speed of a motor, indicating how fast the motor's shaft or rotor is rotating, Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex, Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor, The armature current plays a crucial role in determining the performance and operation of a DC motor. It affects the motor's torque production, speed, and efficiency & The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.
How to calculate Series Field Resistance of Series DC Motor given Speed?
The Series Field Resistance of Series DC Motor given Speed formula is defined as the resistance of the series field winding of the series DC motor is calculated using Shunt Field Resistance = ((Supply Voltage-Motor Speed*Constant of Machine Construction*Magnetic Flux)/Armature Current)-Armature Resistance. To calculate Series Field Resistance of Series DC Motor given Speed, you need Supply Voltage (Vs), Motor Speed (N), Constant of Machine Construction (Kf), Magnetic Flux (Φ), Armature Current (Ia) & Armature Resistance (Ra). With our tool, you need to enter the respective value for Supply Voltage, Motor Speed, Constant of Machine Construction, Magnetic Flux, Armature Current & Armature Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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