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Resistance of Charging Circuit from Voltage Supply Formula

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

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}))

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

Resistance of Charging Circuit from Voltage Supply Example

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Here is how the Resistance of Charging Circuit from Voltage Supply equation looks like with Values.

Here is how the Resistance of Charging Circuit from Voltage Supply equation looks like with Units.

Here is how the Resistance of Charging Circuit from Voltage Supply equation looks like.

0.18 = \frac{10^{2} \cdot 100}{355.19} \cdot (\frac{1}{2} - \exp (- \frac{12}{100}) + 0.5 \cdot \exp (- 2 \cdot \frac{12}{100}))

0.18Ω = \frac{{10V}^{2} \cdot 100s}{355.19W} \cdot (\frac{1}{2} - \exp (- \frac{12s}{100s}) + 0.5 \cdot \exp (- 2 \cdot \frac{12s}{100s}))

0.18 = \frac{10^{2} \cdot 100}{355.19} \cdot (\frac{1}{2} - \exp (- \frac{12}{100}) + 0.5 \cdot \exp (- 2 \cdot \frac{12}{100}))

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Resistance of Charging Circuit from Voltage Supply Solution

Follow our step by step solution on how to calculate Resistance of Charging Circuit from Voltage Supply?

FIRST Step Consider the formula

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}))

Next Step Substitute values of Variables

∴

R c = \frac{{10V}^{2} \cdot 100s}{355.19W} \cdot (\frac{1}{2} - \exp (- \frac{12s}{100s}) + 0.5 \cdot \exp (- 2 \cdot \frac{12s}{100s}))

Next Step Prepare to Evaluate

∴

R c = \frac{10^{2} \cdot 100}{355.19} \cdot (\frac{1}{2} - \exp (- \frac{12}{100}) + 0.5 \cdot \exp (- 2 \cdot \frac{12}{100}))

Next Step Evaluate

∴

R c = 0.180002078215019Ω

LAST Step Rounding Answer

∴

R c = 0.18Ω

Resistance of Charging Circuit from Voltage Supply Formula Elements

Variables

Functions

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

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

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

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 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 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 Resistance of Charging Circuit from Voltage Supply?

Resistance of Charging Circuit from Voltage Supply evaluator uses Resistance of the Charging Circuit = (Voltage of Power Supply^2*Time Constant)/Energy Delivered per Spark*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)) to evaluate the Resistance of the Charging Circuit, Resistance of charging circuit from voltage supply formula is defined as the resistance offered by the charging circuit used to charge capacitor of EDM spark circuit. Resistance of the Charging Circuit is denoted by R_c symbol.

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

FAQs on Resistance of Charging Circuit from Voltage Supply

What is the formula to find Resistance of Charging Circuit from Voltage Supply?

The formula of Resistance of Charging Circuit from Voltage Supply is expressed as Resistance of the Charging Circuit = (Voltage of Power Supply^2*Time Constant)/Energy Delivered per Spark*(1/2-exp(-Time Elapsed/Time Constant)+0.5*exp(-2*Time Elapsed/Time Constant)). Here is an example- 0.180002 = (10^2*100)/355.19*(1/2-exp(-12/100)+0.5*exp(-2*12/100)).

How to calculate Resistance of Charging Circuit from Voltage Supply?

With Voltage of Power Supply (V₀), Time Constant (𝜏), Energy Delivered per Spark (P) & Time Elapsed (t) we can find Resistance of Charging Circuit from Voltage Supply using the formula - Resistance of the Charging Circuit = (Voltage of Power Supply^2*Time Constant)/Energy Delivered per Spark*(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 Resistance of Charging Circuit from Voltage Supply be negative?

No, the Resistance of Charging Circuit from Voltage Supply, measured in Electric Resistance cannot be negative.

Which unit is used to measure Resistance of Charging Circuit from Voltage Supply?

Resistance of Charging Circuit from Voltage Supply 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 Voltage Supply can be measured.

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Resistance of Charging Circuit from Voltage Supply Formula

Resistance of Charging Circuit from Voltage Supply Example

Resistance of Charging Circuit from Voltage Supply Solution

Resistance of Charging Circuit from Voltage Supply Formula Elements

Other formulas in Power Delivered per Spark category

How to Evaluate Resistance of Charging Circuit from Voltage Supply?

FAQs on Resistance of Charging Circuit from Voltage Supply

Variable Name