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Energy Delivered per Spark from Resistance Charging Circuit Formula

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Energy delivered per spark is the energy produced for EDM. Check FAQs

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}))

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

Energy Delivered per Spark from Resistance Charging Circuit Example

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Here is how the Energy Delivered per Spark from Resistance Charging Circuit equation looks like with Values.

Here is how the Energy Delivered per Spark from Resistance Charging Circuit equation looks like with Units.

Here is how the Energy Delivered per Spark from Resistance Charging Circuit equation looks like.

355.1941 = \frac{10^{2} \cdot 100}{0.18} \cdot (\frac{1}{2} - \exp (- \frac{12}{100}) + 0.5 \cdot \exp (- 2 \cdot \frac{12}{100}))

355.1941W = \frac{{10V}^{2} \cdot 100s}{0.18Ω} \cdot (\frac{1}{2} - \exp (- \frac{12s}{100s}) + 0.5 \cdot \exp (- 2 \cdot \frac{12s}{100s}))

355.1941 = \frac{10^{2} \cdot 100}{0.18} \cdot (\frac{1}{2} - \exp (- \frac{12}{100}) + 0.5 \cdot \exp (- 2 \cdot \frac{12}{100}))

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Energy Delivered per Spark from Resistance Charging Circuit Solution

Follow our step by step solution on how to calculate Energy Delivered per Spark from Resistance Charging Circuit?

FIRST Step Consider the formula

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}))

Next Step Substitute values of Variables

∴

P = \frac{{10V}^{2} \cdot 100s}{0.18Ω} \cdot (\frac{1}{2} - \exp (- \frac{12s}{100s}) + 0.5 \cdot \exp (- 2 \cdot \frac{12s}{100s}))

Next Step Prepare to Evaluate

∴

P = \frac{10^{2} \cdot 100}{0.18} \cdot (\frac{1}{2} - \exp (- \frac{12}{100}) + 0.5 \cdot \exp (- 2 \cdot \frac{12}{100}))

Next Step Evaluate

∴

P = 355.194100895514W

LAST Step Rounding Answer

∴

P = 355.1941W

Energy Delivered per Spark from Resistance Charging Circuit Formula Elements

Variables

Functions

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

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

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

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 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)

Other formulas in Power Delivered per Spark category

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}))

Go Power Supply required for given Spark Power

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}))}}

How to Evaluate Energy Delivered per Spark from Resistance Charging Circuit?

Energy Delivered per Spark from Resistance Charging Circuit evaluator uses Energy Delivered per Spark = (Voltage of Power Supply^2*Time Constant)/Resistance of the Charging Circuit*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)) to evaluate the Energy Delivered per Spark, Energy delivered per spark from resistance charging circuit is the parameter which defines the amount of material removed and the surface finish produced. Energy Delivered per Spark is denoted by P symbol.

How to evaluate Energy Delivered per Spark from Resistance Charging Circuit using this online evaluator? To use this online evaluator for Energy Delivered per Spark from Resistance Charging Circuit, enter Voltage of Power Supply (V₀), Time Constant (𝜏), Resistance of the Charging Circuit (R_c) & Time Elapsed (t) and hit the calculate button.

FAQs on Energy Delivered per Spark from Resistance Charging Circuit

What is the formula to find Energy Delivered per Spark from Resistance Charging Circuit?

The formula of Energy Delivered per Spark from Resistance Charging Circuit is expressed as Energy Delivered per Spark = (Voltage of Power Supply^2*Time Constant)/Resistance of the Charging Circuit*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)). Here is an example- 355.1941 = (10^2*100)/0.18*(1/2-exp(-12/100)+0.5*exp(-2*12/100)).

How to calculate Energy Delivered per Spark from Resistance Charging Circuit?

With Voltage of Power Supply (V₀), Time Constant (𝜏), Resistance of the Charging Circuit (R_c) & Time Elapsed (t) we can find Energy Delivered per Spark from Resistance Charging Circuit using the formula - Energy Delivered per Spark = (Voltage of Power Supply^2*Time Constant)/Resistance of the Charging Circuit*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)). This formula also uses Exponential Growth (exp) function(s).

Can the Energy Delivered per Spark from Resistance Charging Circuit be negative?

Yes, the Energy Delivered per Spark from Resistance Charging Circuit, measured in Power can be negative.

Which unit is used to measure Energy Delivered per Spark from Resistance Charging Circuit?

Energy Delivered per Spark from Resistance Charging Circuit is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Energy Delivered per Spark from Resistance Charging Circuit can be measured.

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Energy Delivered per Spark from Resistance Charging Circuit Formula

Energy Delivered per Spark from Resistance Charging Circuit Example

Energy Delivered per Spark from Resistance Charging Circuit Solution

Energy Delivered per Spark from Resistance Charging Circuit Formula Elements

Other formulas in Power Delivered per Spark category

How to Evaluate Energy Delivered per Spark from Resistance Charging Circuit?

FAQs on Energy Delivered per Spark from Resistance Charging Circuit

Variable Name