Resistance Of Discharging Circuit From Capacitance Calculator

Formula Used:

\[ R_{dv} = \frac{-t}{C \cdot \ln\left(\frac{V_{dis}}{V_c}\right)} \]

Time Elapsed For Voltage Discharge (t):

Second

Capacitance Of Voltage Discharge (C):

Farad

Discharge Voltage Of EDM (Vdis):

Volt

Voltage At Any Time In Voltage Discharge (Vc):

Volt

Resistance Of Discharging Voltage (Rdv):

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1. What is the Resistance of Discharging Voltage Formula?

The Resistance of Discharging Voltage formula calculates the equivalent resistance in a discharging circuit based on time elapsed, capacitance, and voltage measurements. This is particularly useful in EDM (Electrical Discharge Machining) circuits and other capacitive discharge systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R_{dv} = \frac{-t}{C \cdot \ln\left(\frac{V_{dis}}{V_c}\right)} \]

Where:

\( R_{dv} \) — Resistance of Discharging Voltage (Ohm)
\( t \) — Time Elapsed for Voltage Discharge (Second)
\( C \) — Capacitance of Voltage Discharge (Farad)
\( V_{dis} \) — Discharge Voltage of EDM (Volt)
\( V_c \) — Voltage at any Time in Voltage Discharge (Volt)

Explanation: The formula calculates the equivalent resistance in a discharging capacitive circuit by relating the time constant to the voltage decay.

3. Importance of Resistance Calculation

Details: Accurate resistance calculation is crucial for designing and analyzing capacitive discharge circuits, predicting discharge times, and ensuring proper circuit operation in EDM systems and other applications.

4. Using the Calculator

Tips: Enter time in seconds, capacitance in farads, and voltages in volts. All values must be positive, and Vdis/Vc ratio must be greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is the resistance value negative in the formula?
A: The negative sign accounts for the decreasing voltage during discharge. The calculated resistance value itself is positive.

Q2: What are typical resistance values in EDM circuits?
A: Resistance values vary widely depending on the specific EDM setup, but typically range from fractions of an ohm to several ohms.

Q3: How does capacitance affect the discharge resistance?
A: Higher capacitance requires more time to discharge through the same resistance, or conversely, lower resistance to discharge in the same time.

Q4: Can this formula be used for non-EDM applications?
A: Yes, this formula applies to any capacitive discharge circuit where the voltage decay follows exponential behavior.

Q5: What if Vdis/Vc ratio is exactly 1?
A: If Vdis equals Vc, the natural logarithm of 1 is 0, making the denominator zero. This represents an undefined condition in the formula.