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Calculator for the Planck Charge
Conversion of different units of charge to the Planck charge.
The Planck charge qP is 1.875545956-18 coulombs or ampere seconds. This is the charge at which the electromagnetic and gravitational forces would be equal for a particle of Planck mass. In fact, a proton or electron has a charge of about one-twelfth the Planck charge, but only a mass in the range of quintillionths and sextillionths of the Planck mass. This is why the gravitational force is so weak compared to the electromagnetic force.
Please enter a value and select a charge unit. It will calculated how many Planck charges correspond to this input. ^ means to the power of.
Example: A battery with 2000 mAh has 3.838882 * 10^21 Planck charges.
The Planck charge is an interesting concept because it illustrates the vast differences in strength between the fundamental forces of nature. While the electromagnetic force plays a dominant role in everyday life and in atomic physics, gravity is almost negligible at the scale of elementary particles. This enormous disparity is one of the great mysteries of modern physics and is often referred to as the hierarchy problem. The Planck charge thus marks the point at which the weakest of the four fundamental forces, gravity, would suddenly reach a strength comparable to the electromagnetic force at the quantum gravity scale. This raises the question of why the fundamental constants of nature have precisely these values and whether there is a deeper, as yet undiscovered symmetry that unites these forces. Theories such as string theory or loop quantum gravity attempt to answer such questions by searching for a unified description of all forces. The Planck charge shows that the laws of nature may function quite differently at the smallest scales than we are accustomed to in our macroscopic world.
Last updated on 01/09/2026. Author: Jürgen Kummer
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