Capacitance of Circuit from Sparking Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Capacitance = ((Sparking Time/pi)^2)/Inductance of Spark Time
Ct = ((ts/pi)^2)/Lt
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Sparking Time - (Measured in Second) - Sparking time is defined as the time for which a spark is sustained.
Inductance of Spark Time - (Measured in Henry) - Inductance of spark time is the tendency of an electric conductor to oppose a change in the electric current flowing through it.
STEP 1: Convert Input(s) to Base Unit
Sparking Time: 16.77 Second --> 16.77 Second No Conversion Required
Inductance of Spark Time: 5.709 Henry --> 5.709 Henry No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ct = ((ts/pi)^2)/Lt --> ((16.77/pi)^2)/5.709
Evaluating ... ...
Ct = 4.99121567825665
STEP 3: Convert Result to Output's Unit
4.99121567825665 Farad --> No Conversion Required
FINAL ANSWER
4.99121567825665 4.991216 Farad <-- Capacitance
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Calculator and 400+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

5 Sparking Time Calculators

Sparking Time
Go Sparking Time = pi*sqrt(Capacitance*Inductance of Spark Time)
Capacitance of Circuit from Sparking Time
Go Capacitance = ((Sparking Time/pi)^2)/Inductance of Spark Time
Inductance of Circuit from Sparking Time
Go Inductance of Spark Time = ((Sparking Time/pi)^2)/Capacitance
Sparking Time from Frequency of Discharge
Go Sparking Time = 0.5/Frequency of Spark Time
Frequency of Discharge
Go Frequency of Spark Time = 0.5/Sparking Time

Capacitance of Circuit from Sparking Time Formula

Capacitance = ((Sparking Time/pi)^2)/Inductance of Spark Time
Ct = ((ts/pi)^2)/Lt

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 Capacitance of Circuit from Sparking Time?

Capacitance of Circuit from Sparking Time calculator uses Capacitance = ((Sparking Time/pi)^2)/Inductance of Spark Time to calculate the Capacitance, Capacitance of circuit from sparking time formula is defined as the equivalent capacitance of all the capacitors connected in the relaxation circuit of EDM to produce spark. Capacitance is denoted by Ct symbol.

How to calculate Capacitance of Circuit from Sparking Time using this online calculator? To use this online calculator for Capacitance of Circuit from Sparking Time, enter Sparking Time (ts) & Inductance of Spark Time (Lt) and hit the calculate button. Here is how the Capacitance of Circuit from Sparking Time calculation can be explained with given input values -> 4.99822 = ((16.77/pi)^2)/5.709.

FAQ

What is Capacitance of Circuit from Sparking Time?
Capacitance of circuit from sparking time formula is defined as the equivalent capacitance of all the capacitors connected in the relaxation circuit of EDM to produce spark and is represented as Ct = ((ts/pi)^2)/Lt or Capacitance = ((Sparking Time/pi)^2)/Inductance of Spark Time. Sparking time is defined as the time for which a spark is sustained & Inductance of spark time is the tendency of an electric conductor to oppose a change in the electric current flowing through it.
How to calculate Capacitance of Circuit from Sparking Time?
Capacitance of circuit from sparking time formula is defined as the equivalent capacitance of all the capacitors connected in the relaxation circuit of EDM to produce spark is calculated using Capacitance = ((Sparking Time/pi)^2)/Inductance of Spark Time. To calculate Capacitance of Circuit from Sparking Time, you need Sparking Time (ts) & Inductance of Spark Time (Lt). With our tool, you need to enter the respective value for Sparking Time & Inductance of Spark Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!