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Average Energy Delivered per Spark Formula

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

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}))

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

Average Energy Delivered per Spark Example

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Here is how the Average Energy Delivered per Spark equation looks like with Values.

Here is how the Average Energy Delivered per Spark equation looks like with Units.

Here is how the Average Energy Delivered per Spark equation looks like.

15.6956 = \frac{{10.03}^{2} \cdot 100.1}{0.181 \cdot 6.001} \cdot (\frac{1}{2} - \exp (- \frac{6.001}{100.1}) + 0.5 \cdot \exp (- 2 \cdot \frac{6.001}{100.1}))

15.6956J/s = \frac{{10.03V}^{2} \cdot 100.1s}{0.181Ω \cdot 6.001s} \cdot (\frac{1}{2} - \exp (- \frac{6.001s}{100.1s}) + 0.5 \cdot \exp (- 2 \cdot \frac{6.001s}{100.1s}))

15.6956 = \frac{{10.03}^{2} \cdot 100.1}{0.181 \cdot 6.001} \cdot (\frac{1}{2} - \exp (- \frac{6.001}{100.1}) + 0.5 \cdot \exp (- 2 \cdot \frac{6.001}{100.1}))

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Average Energy Delivered per Spark Solution

Follow our step by step solution on how to calculate Average Energy Delivered per Spark?

FIRST Step Consider the formula

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}))

Next Step Substitute values of Variables

∴

P avg = \frac{{10.03V}^{2} \cdot 100.1s}{0.181Ω \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

∴

P avg = \frac{{10.03}^{2} \cdot 100.1}{0.181 \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

∴

P avg = 15.6955643754172W

Next Step Convert to Output's Unit

∴

P avg = 15.6955643754172J/s

LAST Step Rounding Answer

∴

P avg = 15.6956J/s

Average Energy Delivered per Spark Formula Elements

Variables

Functions

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

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

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

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 Resistance of Charging Circuit from Average Power per Spark

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}))

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 Average Energy Delivered per Spark?

Average Energy Delivered per Spark evaluator uses Average Power = (Voltage of Power Supply Avg Pow^2*Time Constant Avg Pow)/(Resistance of the Charging Circuit Avg Pow*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 Average Power, The Average energy delivered per spark formula is defined as the average power that each spark contains in unconventional machining using EDM technique. Average Power is denoted by P_avg symbol.

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

FAQs on Average Energy Delivered per Spark

What is the formula to find Average Energy Delivered per Spark?

The formula of Average Energy Delivered per Spark is expressed as Average Power = (Voltage of Power Supply Avg Pow^2*Time Constant Avg Pow)/(Resistance of the Charging Circuit Avg Pow*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- 15.91541 = (10.03^2*100.1)/(0.181*6.001)*(1/2-exp(-6.001/100.1)+0.5*exp(-2*6.001/100.1)).

How to calculate Average Energy Delivered per Spark?

With Voltage of Power Supply Avg Pow (V_av), Time Constant Avg Pow (𝜏_av), Resistance of the Charging Circuit Avg Pow (R_av) & Time for Charging Capacitor to Breakdown Voltage (τ_p) we can find Average Energy Delivered per Spark using the formula - Average Power = (Voltage of Power Supply Avg Pow^2*Time Constant Avg Pow)/(Resistance of the Charging Circuit Avg Pow*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 Average Energy Delivered per Spark be negative?

Yes, the Average Energy Delivered per Spark, measured in Power can be negative.

Which unit is used to measure Average Energy Delivered per Spark?

Average Energy Delivered per Spark is usually measured using the Joule per Second[J/s] for Power. Watt[J/s], Kilowatt[J/s], Milliwatt[J/s] are the few other units in which Average Energy Delivered per Spark can be measured.

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Average Energy Delivered per Spark Formula

Average Energy Delivered per Spark Example

Average Energy Delivered per Spark Solution

Average Energy Delivered per Spark Formula Elements

Other formulas in Average Power Delivered per Spark category

How to Evaluate Average Energy Delivered per Spark?

FAQs on Average Energy Delivered per Spark

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