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Voltage of Power Supply from Average Power per Spark Formula

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

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}))}}

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

Voltage of Power Supply from Average Power per Spark Example

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Here is how the Voltage of Power Supply from Average Power per Spark equation looks like with Values.

Here is how the Voltage of Power Supply from Average Power per Spark equation looks like with Units.

Here is how the Voltage of Power Supply from Average Power per Spark equation looks like.

10.0314 = \sqrt{\frac{15.7 \cdot 0.181 \cdot 6.001}{100.1 \cdot (\frac{1}{2} - \exp (- \frac{6.001}{100.1}) + 0.5 \cdot \exp (- 2 \cdot \frac{6.001}{100.1}))}}

10.0314V = \sqrt{\frac{15.7J/s \cdot 0.181Ω \cdot 6.001s}{100.1s \cdot (\frac{1}{2} - \exp (- \frac{6.001s}{100.1s}) + 0.5 \cdot \exp (- 2 \cdot \frac{6.001s}{100.1s}))}}

10.0314 = \sqrt{\frac{15.7 \cdot 0.181 \cdot 6.001}{100.1 \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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Voltage of Power Supply from Average Power per Spark Solution

Follow our step by step solution on how to calculate Voltage of Power Supply from Average Power per Spark?

FIRST Step Consider the formula

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}))}}

Next Step Substitute values of Variables

∴

V av = \sqrt{\frac{15.7J/s \cdot 0.181Ω \cdot 6.001s}{100.1s \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

∴

V av = \sqrt{\frac{15.7W \cdot 0.181Ω \cdot 6.001s}{100.1s \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

∴

V av = \sqrt{\frac{15.7 \cdot 0.181 \cdot 6.001}{100.1 \cdot (\frac{1}{2} - \exp (- \frac{6.001}{100.1}) + 0.5 \cdot \exp (- 2 \cdot \frac{6.001}{100.1}))}}

Next Step Evaluate

∴

V av = 10.0314171574444V

LAST Step Rounding Answer

∴

V av = 10.0314V

Voltage of Power Supply from Average Power per Spark Formula Elements

Variables

Functions

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

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

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

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

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)

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.

Syntax: sqrt(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 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}))

How to Evaluate Voltage of Power Supply from Average Power per Spark?

Voltage of Power Supply from Average Power per Spark evaluator uses Voltage of Power Supply Avg Pow = sqrt((Average Power*Resistance of the Charging Circuit Avg Pow*Time for Charging Capacitor to Breakdown Voltage)/(Time Constant Avg Pow*(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 Voltage of Power Supply Avg Pow, The Voltage of power supply from average power per spark formula is defined as the voltage of power supply used to charge the relaxation circuit used to provide spark in unconventional EDM. Voltage of Power Supply Avg Pow is denoted by V_av symbol.

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

FAQs on Voltage of Power Supply from Average Power per Spark

What is the formula to find Voltage of Power Supply from Average Power per Spark?

The formula of Voltage of Power Supply from Average Power per Spark is expressed as Voltage of Power Supply Avg Pow = sqrt((Average Power*Resistance of the Charging Circuit Avg Pow*Time for Charging Capacitor to Breakdown Voltage)/(Time Constant Avg Pow*(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- 10.03142 = sqrt((15.7*0.181*6.001)/(100.1*(1/2-exp(-6.001/100.1)+0.5*exp(-2*6.001/100.1)))).

How to calculate Voltage of Power Supply from Average Power per Spark?

With Average Power (P_avg), Resistance of the Charging Circuit Avg Pow (R_av), Time for Charging Capacitor to Breakdown Voltage (τ_p) & Time Constant Avg Pow (𝜏_av) we can find Voltage of Power Supply from Average Power per Spark using the formula - Voltage of Power Supply Avg Pow = sqrt((Average Power*Resistance of the Charging Circuit Avg Pow*Time for Charging Capacitor to Breakdown Voltage)/(Time Constant Avg Pow*(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), Square Root (sqrt) function(s).

Can the Voltage of Power Supply from Average Power per Spark be negative?

Yes, the Voltage of Power Supply from Average Power per Spark, measured in Electric Potential can be negative.

Which unit is used to measure Voltage of Power Supply from Average Power per Spark?

Voltage of Power Supply from Average Power per Spark is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Voltage of Power Supply from Average Power per Spark can be measured.

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Voltage of Power Supply from Average Power per Spark Formula

Voltage of Power Supply from Average Power per Spark Example

Voltage of Power Supply from Average Power per Spark Solution

Voltage of Power Supply from Average Power per Spark Formula Elements

Other formulas in Average Power Delivered per Spark category

How to Evaluate Voltage of Power Supply from Average Power per Spark?

FAQs on Voltage of Power Supply from Average Power per Spark

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