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Power Supply required for given Spark Power Formula

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

V 0 = \sqrt{\frac{P \cdot R c}{𝜏 \cdot (\frac{1}{2} - \exp (- \frac{t}{𝜏}) + 0.5 \cdot \exp (- 2 \cdot \frac{t}{𝜏}))}}

V₀ - Voltage of Power Supply?P - Energy Delivered per Spark?R_c - Resistance of the Charging Circuit?𝜏 - Time Constant?t - Time Elapsed?

Power Supply required for given Spark Power Example

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Here is how the Power Supply required for given Spark Power equation looks like with Values.

Here is how the Power Supply required for given Spark Power equation looks like with Units.

Here is how the Power Supply required for given Spark Power equation looks like.

9.9999 = \sqrt{\frac{355.19 \cdot 0.18}{100 \cdot (\frac{1}{2} - \exp (- \frac{12}{100}) + 0.5 \cdot \exp (- 2 \cdot \frac{12}{100}))}}

9.9999V = \sqrt{\frac{355.19W \cdot 0.18Ω}{100s \cdot (\frac{1}{2} - \exp (- \frac{12s}{100s}) + 0.5 \cdot \exp (- 2 \cdot \frac{12s}{100s}))}}

9.9999 = \sqrt{\frac{355.19 \cdot 0.18}{100 \cdot (\frac{1}{2} - \exp (- \frac{12}{100}) + 0.5 \cdot \exp (- 2 \cdot \frac{12}{100}))}}

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Power Supply required for given Spark Power Solution

Follow our step by step solution on how to calculate Power Supply required for given Spark Power?

FIRST Step Consider the formula

V 0 = \sqrt{\frac{P \cdot R c}{𝜏 \cdot (\frac{1}{2} - \exp (- \frac{t}{𝜏}) + 0.5 \cdot \exp (- 2 \cdot \frac{t}{𝜏}))}}

Next Step Substitute values of Variables

∴

V 0 = \sqrt{\frac{355.19W \cdot 0.18Ω}{100s \cdot (\frac{1}{2} - \exp (- \frac{12s}{100s}) + 0.5 \cdot \exp (- 2 \cdot \frac{12s}{100s}))}}

Next Step Prepare to Evaluate

∴

V 0 = \sqrt{\frac{355.19 \cdot 0.18}{100 \cdot (\frac{1}{2} - \exp (- \frac{12}{100}) + 0.5 \cdot \exp (- 2 \cdot \frac{12}{100}))}}

Next Step Evaluate

∴

V 0 = 9.99994227230491V

LAST Step Rounding Answer

∴

V 0 = 9.9999V

Power Supply required for given Spark Power Formula Elements

Variables

Functions

Voltage of Power Supply

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

Symbol: V₀

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Voltage of Power Supply

Energy Delivered per Spark

Energy delivered per spark is the energy produced for EDM.

Symbol: P

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Energy Delivered per Spark

Resistance of the Charging Circuit

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

Symbol: R_c

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance of the Charging Circuit

Time Constant

Time Constant of 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

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Constant

Time Elapsed

Time elapsed after a particular task is started.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Elapsed

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 Power Delivered per Spark category

Go Energy Delivered per Spark from Resistance Charging Circuit

P = \frac{{V 0}^{2} \cdot 𝜏}{R c} \cdot (\frac{1}{2} - \exp (- \frac{t}{𝜏}) + 0.5 \cdot \exp (- 2 \cdot \frac{t}{𝜏}))

Go Resistance of Charging Circuit from Voltage Supply

R c = \frac{{V 0}^{2} \cdot 𝜏}{P} \cdot (\frac{1}{2} - \exp (- \frac{t}{𝜏}) + 0.5 \cdot \exp (- 2 \cdot \frac{t}{𝜏}))

How to Evaluate Power Supply required for given Spark Power?

Power Supply required for given Spark Power evaluator uses Voltage of Power Supply = sqrt((Energy Delivered per Spark*Resistance of the Charging Circuit)/(Time Constant*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)))) to evaluate the Voltage of Power Supply, The Power supply required for given spark power 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 is denoted by V₀ symbol.

How to evaluate Power Supply required for given Spark Power using this online evaluator? To use this online evaluator for Power Supply required for given Spark Power, enter Energy Delivered per Spark (P), Resistance of the Charging Circuit (R_c), Time Constant (𝜏) & Time Elapsed (t) and hit the calculate button.

FAQs on Power Supply required for given Spark Power

What is the formula to find Power Supply required for given Spark Power?

The formula of Power Supply required for given Spark Power is expressed as Voltage of Power Supply = sqrt((Energy Delivered per Spark*Resistance of the Charging Circuit)/(Time Constant*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)))). Here is an example- 9.999942 = sqrt((355.19*0.18)/(100*(1/2-exp(-12/100)+0.5*exp(-2*12/100)))).

How to calculate Power Supply required for given Spark Power?

With Energy Delivered per Spark (P), Resistance of the Charging Circuit (R_c), Time Constant (𝜏) & Time Elapsed (t) we can find Power Supply required for given Spark Power using the formula - Voltage of Power Supply = sqrt((Energy Delivered per Spark*Resistance of the Charging Circuit)/(Time Constant*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)))). This formula also uses Exponential Growth (exp), Square Root (sqrt) function(s).

Can the Power Supply required for given Spark Power be negative?

Yes, the Power Supply required for given Spark Power, measured in Electric Potential can be negative.

Which unit is used to measure Power Supply required for given Spark Power?

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

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Power Supply required for given Spark Power Formula

Power Supply required for given Spark Power Example

Power Supply required for given Spark Power Solution

Power Supply required for given Spark Power Formula Elements

Other formulas in Power Delivered per Spark category

How to Evaluate Power Supply required for given Spark Power?

FAQs on Power Supply required for given Spark Power

Variable Name