Enter the x-ray energy (J) and the electron charge (C ) into the Calculator. The calculator will evaluate the Accelerating Voltage. 

Accelerating Voltage Formula

AV = XRE / ec


  • AV is the Accelerating Voltage (volts)
  • XRE is the x-ray energy (J)
  • ec is the electron charge (C )

To calculate Accelerating Voltage, divide the x-ray energy by the electron charge.

How to Calculate Accelerating Voltage?

The following steps outline how to calculate the Accelerating Voltage.

  1. First, determine the x-ray energy (J). 
  2. Next, determine the electron charge (C ). 
  3. Next, gather the formula from above = AV = XRE / ec.
  4. Finally, calculate the Accelerating Voltage.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

x-ray energy (J) = 900

electron charge (C ) = 100


What is Accelerating Voltage in the context of x-ray machines?

Accelerating Voltage refers to the electrical potential difference applied to accelerate electrons in an x-ray tube, which subsequently collide with a target to produce x-rays. The higher the Accelerating Voltage, the more energetic the x-rays produced.

Why is the electron charge important in calculating Accelerating Voltage?

The electron charge is a fundamental physical constant that measures the amount of electric charge carried by a single electron. In the context of calculating Accelerating Voltage, it is crucial because the Accelerating Voltage directly depends on the energy per unit charge transferred to the electrons.

How does changing the x-ray energy affect the Accelerating Voltage?

Increasing the x-ray energy (J) while keeping the electron charge constant will result in a higher Accelerating Voltage. This is because the formula for calculating Accelerating Voltage is AV = XRE / ec, meaning the Accelerating Voltage is directly proportional to the x-ray energy.

Can the Accelerating Voltage affect the quality of x-ray images?

Yes, the Accelerating Voltage can significantly affect the quality and characteristics of x-ray images. Higher Accelerating Voltages produce more penetrating x-rays, which can improve the ability to image dense materials but may reduce contrast in soft tissues. Conversely, lower Accelerating Voltages enhance contrast in soft tissues but may not penetrate dense materials as effectively.