Cockcroft-Walton Multiplier Calculator

Enter the values in required fields of Cockroft – Walton Multiplier Calculator to use basic and advanced calculator.

The Cockcroft-Walton Multiplier Calculator is used to compute the output voltage of a Cockcroft-Walton voltage multiplier, a type of circuit designed to multiply AC input voltage into a higher DC output voltage. The multiplier works by using capacitors and diodes to incrementally step up the voltage, making it an efficient solution for generating high DC voltages from a lower AC source.

Formula:

Contents

1 Formula:
2 How to Calculate ?
3 Solved Calculations :
4 What is Cockroft – Walton Multiplier Calculator ?
5 Final Words:

The formula is:

\text{Vout} = \frac{2 \cdot n \cdot \text{Vin}}{\pi}

Variables:

Variable	Meaning
Vout	Output Voltage (the multiplied output voltage)
n	Number of stages (the number of voltage multiplier stages)
Vin	Input Voltage (the AC input voltage)
$\pi$	Pi (approximately 3.14159)

How to Calculate ?

To calculate the output voltage (Vout) of the Cockcroft-Walton multiplier, first know the number of stages (n) in the voltage multiplier. Then, find the input voltage (Vin), which is the alternating current (AC) voltage entering the circuit. Multiply 2 by the number of stages (n) and by the input voltage (Vin), then divide the result by $\pi$ to get the output voltage (Vout).

Solved Calculations :

Example 1:

Given:

Number of stages (n) = 5
Input Voltage (Vin) = 100 V

Calculation	Instructions
Step 1: Vout = $\frac{2 \cdot n \cdot \text{Vin}}{\pi}$	Start with the formula.
Step 2: Vout = $\frac{2 \cdot 5 \cdot 100}{3.14159}$	Replace $n$ with 5 and $\text{Vin}$ with 100 V.
Step 3: Vout = $\frac{1000}{3.14159}$	Multiply 2, 5, and 100 to get 1000.
Step 4: Vout = 318.31 V	Divide 1000 by $\pi$ to get the output voltage.

Answer:
The output voltage is 318.31 V.

Example 2:

Given:

Number of stages (n) = 3
Input Voltage (Vin) = 200 V

Calculation	Instructions
Step 1: Vout = $\frac{2 \cdot n \cdot \text{Vin}}{\pi}$	Start with the formula.
Step 2: Vout = $\frac{2 \cdot 3 \cdot 200}{3.14159}$	Replace $n$ with 3 and $\text{Vin}$ with 200 V.
Step 3: Vout = $\frac{1200}{3.14159}$	Multiply 2, 3, and 200 to get 1200.
Step 4: Vout = 381.97 V	Divide 1200 by $\pi$ to get the output voltage.

Answer:
The output voltage is 381.97 V.

What is Cockroft – Walton Multiplier Calculator ?

The Cockcroft-Walton multiplier is a type of voltage multiplier circuit designed to generate high voltages using a cascade of capacitors and diodes. It works on the principle of rectifying AC input voltage and storing the energy in capacitors, which are arranged in stages to progressively multiply the voltage. This circuit is commonly used in applications requiring high voltages, such as particle accelerators and X-ray machines.

The Cockcroft-Walton multiplier is preferred in voltage multiplier circuits due to its simplicity, efficiency, and ability to generate high voltages without needing a transformer. While it increases voltage, it also reduces current, making it ideal for applications where high voltage and low current are necessary. It allows users to easily input parameters like the number of stages, input voltage, and capacitor values to calculate the resulting high voltage output.

Final Words:

This tool serves as a powerful circuit used to generate high voltages by multiplying an AC input voltage through a series of capacitors and diodes. It is particularly useful for engineers and technicians working with applications such as particle accelerators and X-ray machines