FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Resistance of Charging Circuit from Average Power per Spark Formula

Fx Copy

LaTeX Copy

Resistance of the charging circuit avg pow is the resistance of the charging circuit. Check FAQs

R av = \frac{{V av}^{2} \cdot 𝜏 av}{P avg \cdot τ p} \cdot (\frac{1}{2} - \exp (- \frac{τ p}{𝜏 av}) + 0.5 \cdot \exp (- 2 \cdot \frac{τ p}{𝜏 av}))

R_av - Resistance of the Charging Circuit Avg Pow?V_av - Voltage of Power Supply Avg Pow?𝜏_av - Time Constant Avg Pow?P_avg - Average Power?τ_p - Time for Charging Capacitor to Breakdown Voltage?

Resistance of Charging Circuit from Average Power per Spark Example

With values

With units

Only example

Here is how the Resistance of Charging Circuit from Average Power per Spark equation looks like with Values.

Here is how the Resistance of Charging Circuit from Average Power per Spark equation looks like with Units.

Here is how the Resistance of Charging Circuit from Average Power per Spark equation looks like.

0.1809 = \frac{{10.03}^{2} \cdot 100.1}{15.7 \cdot 6.001} \cdot (\frac{1}{2} - \exp (- \frac{6.001}{100.1}) + 0.5 \cdot \exp (- 2 \cdot \frac{6.001}{100.1}))

0.1809Ω = \frac{{10.03V}^{2} \cdot 100.1s}{15.7J/s \cdot 6.001s} \cdot (\frac{1}{2} - \exp (- \frac{6.001s}{100.1s}) + 0.5 \cdot \exp (- 2 \cdot \frac{6.001s}{100.1s}))

0.1809 = \frac{{10.03}^{2} \cdot 100.1}{15.7 \cdot 6.001} \cdot (\frac{1}{2} - \exp (- \frac{6.001}{100.1}) + 0.5 \cdot \exp (- 2 \cdot \frac{6.001}{100.1}))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Unconventional machining processes » fx Resistance of Charging Circuit from Average Power per Spark

Resistance of Charging Circuit from Average Power per Spark Solution

Follow our step by step solution on how to calculate Resistance of Charging Circuit from Average Power per Spark?

FIRST Step Consider the formula

R av = \frac{{V av}^{2} \cdot 𝜏 av}{P avg \cdot τ p} \cdot (\frac{1}{2} - \exp (- \frac{τ p}{𝜏 av}) + 0.5 \cdot \exp (- 2 \cdot \frac{τ p}{𝜏 av}))

Next Step Substitute values of Variables

∴

R av = \frac{{10.03V}^{2} \cdot 100.1s}{15.7J/s \cdot 6.001s} \cdot (\frac{1}{2} - \exp (- \frac{6.001s}{100.1s}) + 0.5 \cdot \exp (- 2 \cdot \frac{6.001s}{100.1s}))

Next Step Convert Units

∴

R av = \frac{{10.03V}^{2} \cdot 100.1s}{15.7W \cdot 6.001s} \cdot (\frac{1}{2} - \exp (- \frac{6.001s}{100.1s}) + 0.5 \cdot \exp (- 2 \cdot \frac{6.001s}{100.1s}))

Next Step Prepare to Evaluate

∴

R av = \frac{{10.03}^{2} \cdot 100.1}{15.7 \cdot 6.001} \cdot (\frac{1}{2} - \exp (- \frac{6.001}{100.1}) + 0.5 \cdot \exp (- 2 \cdot \frac{6.001}{100.1}))

Next Step Evaluate

∴

R av = 0.180948863181561Ω

LAST Step Rounding Answer

∴

R av = 0.1809Ω

Resistance of Charging Circuit from Average Power per Spark Formula Elements

Variables

Functions

Resistance of the Charging Circuit Avg Pow

Resistance of the charging circuit avg pow is the resistance of the charging circuit.

Symbol: R_av

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance of the Charging Circuit Avg Pow

Voltage of Power Supply Avg Pow

Voltage of power supply Avg pow, is the voltage required to charge a given device within given time.

Symbol: V_av

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Voltage of Power Supply Avg Pow

Time Constant Avg Pow

Time Constant avg pow is the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate.

Symbol: 𝜏_av

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Constant Avg Pow

Average Power

Average power is defined as the ratio of total work done by the body to the total time taken by the body.

Symbol: P_avg

Measurement: PowerUnit: J/s

Note: Value can be positive or negative.

Formulas to find Average Power

Time for Charging Capacitor to Breakdown Voltage

Time for charging capacitor to breakdown voltage is denoted by τ.

Symbol: τ_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time for Charging Capacitor to Breakdown Voltage

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Average Power Delivered per Spark category

Go Average Energy Delivered per Spark

P avg = \frac{{V av}^{2} \cdot 𝜏 av}{R av \cdot τ p} \cdot (\frac{1}{2} - \exp (- \frac{τ p}{𝜏 av}) + 0.5 \cdot \exp (- 2 \cdot \frac{τ p}{𝜏 av}))

Go Voltage of Power Supply from Average Power per Spark

V av = \sqrt{\frac{P avg \cdot R av \cdot τ p}{𝜏 av \cdot (\frac{1}{2} - \exp (- \frac{τ p}{𝜏 av}) + 0.5 \cdot \exp (- 2 \cdot \frac{τ p}{𝜏 av}))}}

How to Evaluate Resistance of Charging Circuit from Average Power per Spark?

Resistance of Charging Circuit from Average Power per Spark evaluator uses Resistance of the Charging Circuit Avg Pow = (Voltage of Power Supply Avg Pow^2*Time Constant Avg Pow)/(Average Power*Time for Charging Capacitor to Breakdown Voltage)*(1/2-exp(-Time for Charging Capacitor to Breakdown Voltage/Time Constant Avg Pow)+0.5*exp(-2*Time for Charging Capacitor to Breakdown Voltage/Time Constant Avg Pow)) to evaluate the Resistance of the Charging Circuit Avg Pow, The Resistance of charging circuit from average power per spark formula is defined as the resistance offered by the charging circuit used to charge capacitor of EDM spark circuit. Resistance of the Charging Circuit Avg Pow is denoted by R_av symbol.

How to evaluate Resistance of Charging Circuit from Average Power per Spark using this online evaluator? To use this online evaluator for Resistance of Charging Circuit from Average Power per Spark, enter Voltage of Power Supply Avg Pow (V_av), Time Constant Avg Pow (𝜏_av), Average Power (P_avg) & Time for Charging Capacitor to Breakdown Voltage (τ_p) and hit the calculate button.

FAQs on Resistance of Charging Circuit from Average Power per Spark

What is the formula to find Resistance of Charging Circuit from Average Power per Spark?

The formula of Resistance of Charging Circuit from Average Power per Spark is expressed as Resistance of the Charging Circuit Avg Pow = (Voltage of Power Supply Avg Pow^2*Time Constant Avg Pow)/(Average Power*Time for Charging Capacitor to Breakdown Voltage)*(1/2-exp(-Time for Charging Capacitor to Breakdown Voltage/Time Constant Avg Pow)+0.5*exp(-2*Time for Charging Capacitor to Breakdown Voltage/Time Constant Avg Pow)). Here is an example- 0.183483 = (10.03^2*100.1)/(15.7*6.001)*(1/2-exp(-6.001/100.1)+0.5*exp(-2*6.001/100.1)).

How to calculate Resistance of Charging Circuit from Average Power per Spark?

With Voltage of Power Supply Avg Pow (V_av), Time Constant Avg Pow (𝜏_av), Average Power (P_avg) & Time for Charging Capacitor to Breakdown Voltage (τ_p) we can find Resistance of Charging Circuit from Average Power per Spark using the formula - Resistance of the Charging Circuit Avg Pow = (Voltage of Power Supply Avg Pow^2*Time Constant Avg Pow)/(Average Power*Time for Charging Capacitor to Breakdown Voltage)*(1/2-exp(-Time for Charging Capacitor to Breakdown Voltage/Time Constant Avg Pow)+0.5*exp(-2*Time for Charging Capacitor to Breakdown Voltage/Time Constant Avg Pow)). This formula also uses Exponential Growth (exp) function(s).

Can the Resistance of Charging Circuit from Average Power per Spark be negative?

No, the Resistance of Charging Circuit from Average Power per Spark, measured in Electric Resistance cannot be negative.

Which unit is used to measure Resistance of Charging Circuit from Average Power per Spark?

Resistance of Charging Circuit from Average Power per Spark is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Resistance of Charging Circuit from Average Power per Spark can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Resistance of Charging Circuit from Average Power per Spark Formula

Resistance of Charging Circuit from Average Power per Spark Example

Resistance of Charging Circuit from Average Power per Spark Solution

Resistance of Charging Circuit from Average Power per Spark Formula Elements

Other formulas in Average Power Delivered per Spark category

How to Evaluate Resistance of Charging Circuit from Average Power per Spark?

FAQs on Resistance of Charging Circuit from Average Power per Spark

Variable Name