Frequency of Discharge Oscillation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Frequency of Discharge = 1/(2*pi)*sqrt(1/(Inductance of Discharge Frequency*Capacitance of Discharge Frequency))
fd = 1/(2*pi)*sqrt(1/(Lf*Cdf))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Frequency of Discharge - (Measured in Hertz) - Frequency of discharge is the frequency of oscillations in discharge circuit.
Inductance of Discharge Frequency - (Measured in Henry) - Inductance of discharge frequency is the tendency of an electric conductor to oppose a change in the electric current flowing through it.
Capacitance of Discharge Frequency - (Measured in Farad) - Capacitance of Discharge Frequency is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
STEP 1: Convert Input(s) to Base Unit
Inductance of Discharge Frequency: 5.71 Henry --> 5.71 Henry No Conversion Required
Capacitance of Discharge Frequency: 5.02 Farad --> 5.02 Farad No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fd = 1/(2*pi)*sqrt(1/(Lf*Cdf)) --> 1/(2*pi)*sqrt(1/(5.71*5.02))
Evaluating ... ...
fd = 0.0297269408475543
STEP 3: Convert Result to Output's Unit
0.0297269408475543 Hertz -->0.0297269408475543 Cycle per Second (Check conversion ​here)
FINAL ANSWER
0.0297269408475543 0.029727 Cycle per Second <-- Frequency of Discharge
(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Frequency of Discharge Calculators

Frequency of Discharge Oscillation
​ LaTeX ​ Go Frequency of Discharge = 1/(2*pi)*sqrt(1/(Inductance of Discharge Frequency*Capacitance of Discharge Frequency))
Capacitance of Circuit from Frequency Discharge
​ LaTeX ​ Go Capacitance of Discharge Frequency = 1/(Inductance of Discharge Frequency*(2*pi*Frequency of Discharge)^2)
Inductance of Circuit
​ LaTeX ​ Go Inductance of Discharge Frequency = 1/(Capacitance of Discharge Frequency*(2*pi*Frequency of Discharge)^2)

Frequency of Discharge Oscillation Formula

​LaTeX ​Go
Frequency of Discharge = 1/(2*pi)*sqrt(1/(Inductance of Discharge Frequency*Capacitance of Discharge Frequency))
fd = 1/(2*pi)*sqrt(1/(Lf*Cdf))

How the spark is produced in Electric Discharge Machining ?

A typical circuit used for supplying the power to an EDM machine is named as the relaxation circuit. The circuit consists of a DC power source, which charges the capacitor ‘C’ across a resistance ‘Rc’. Initially when the capacitor is in the uncharged condition, when the power supply is on with a voltage of Vo, a heavy current, ic, will flow in the circuit as shown to charge the capacitor. The relaxation circuit as explained above was used in the early EDM machines. They are limited to the low material removal rates for fine finish, which limits its application. This can be explained from the fact that the time spent on charging the capacitor is quite large during which time, no machining can actually take place. Thus the material removal rates are low.

How to Calculate Frequency of Discharge Oscillation?

Frequency of Discharge Oscillation calculator uses Frequency of Discharge = 1/(2*pi)*sqrt(1/(Inductance of Discharge Frequency*Capacitance of Discharge Frequency)) to calculate the Frequency of Discharge, Frequency of discharge oscillation as the number of sparks produced per second while discharging of the relaxation circuit. It is the inverse of the time period for a given oscillation. Frequency of Discharge is denoted by fd symbol.

How to calculate Frequency of Discharge Oscillation using this online calculator? To use this online calculator for Frequency of Discharge Oscillation, enter Inductance of Discharge Frequency (Lf) & Capacitance of Discharge Frequency (Cdf) and hit the calculate button. Here is how the Frequency of Discharge Oscillation calculation can be explained with given input values -> 0.029757 = 1/(2*pi)*sqrt(1/(5.71*5.02)).

FAQ

What is Frequency of Discharge Oscillation?
Frequency of discharge oscillation as the number of sparks produced per second while discharging of the relaxation circuit. It is the inverse of the time period for a given oscillation and is represented as fd = 1/(2*pi)*sqrt(1/(Lf*Cdf)) or Frequency of Discharge = 1/(2*pi)*sqrt(1/(Inductance of Discharge Frequency*Capacitance of Discharge Frequency)). Inductance of discharge frequency is the tendency of an electric conductor to oppose a change in the electric current flowing through it & Capacitance of Discharge Frequency is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
How to calculate Frequency of Discharge Oscillation?
Frequency of discharge oscillation as the number of sparks produced per second while discharging of the relaxation circuit. It is the inverse of the time period for a given oscillation is calculated using Frequency of Discharge = 1/(2*pi)*sqrt(1/(Inductance of Discharge Frequency*Capacitance of Discharge Frequency)). To calculate Frequency of Discharge Oscillation, you need Inductance of Discharge Frequency (Lf) & Capacitance of Discharge Frequency (Cdf). With our tool, you need to enter the respective value for Inductance of Discharge Frequency & Capacitance of Discharge Frequency 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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