Enter the total charge and the total mass of the matter into the calculator to determine the charge to mass ratio. This calculator can also determine the mass to charge ratio.

## Charge to Mass Ratio Formula

The following formula is used to calculate a charge to mass ratio.

CTM = TC / TM

• Where CTM is the charge to mass ratio
• TC is the total charge (Coulombs, C)
• TM is the total mass (kg)

To calculate the charge to mass ratio, divide the total charge by the total mass.

Similarly, the mass-to-charge ratio can be calculated with the inverse of the above formula:

MTC = TM / TC

Where MTC is the mass to charge ratio.

## What is a charge to mass ratio?

Definition:

A charge to mass ratio is a physical quantity that represents the charge per unit mass of a given particle.

## How to calculate charge to mass ratio?

Example Problem:

The following example outlines how to calculate a charge to mass ratio.

First, determine the total charge. For this example, the total charge is measured to be 100 Coulombs.

Next, determine the total mass. These particles are measured to have a total mass of 5 kg.

Finally, calculate the charge to mass ratio using the formula above:

CTM = TC / TM

CTM = 100 / 5

CTM = 20 C/kg