Electric Charge Converter
Our free electrical & magnetic converter handles electric charge conversions. See tables, ratios, and examples for quick reference.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
Electric Charge Converter
Calculator
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Formula: Converted Value = Input Value x (From Unit Factor / To Unit Factor)
Worked example โ 4000 mAh = 14,400 C
Formula
Converted Value = Input Value x (From Unit Factor / To Unit Factor)
Electric charge conversion works by first converting the input value to the base unit (coulombs) using the source unit factor, then dividing by the target unit factor to get the result. All electromagnetic charge units relate to the coulomb through fixed conversion factors based on physical constants and unit system definitions.
Worked Examples
Example 1: Battery Charge Capacity
Problem:A smartphone battery is rated at 4000 mAh. How many coulombs of charge does it store?
Solution:Charge (C) = mAh x 3.6 Charge = 4000 x 3.6 Charge = 14,400 coulombs This means the battery can deliver 14,400 coulombs before depleting.
Result:4000 mAh = 14,400 C
Example 2: Electron Count from Charge
Problem:A capacitor holds 5 microcoulombs of charge. How many elementary charges is that?
Solution:Number of e = Charge / elementary charge = 5 x 10^-6 C / 1.602176634 x 10^-19 C = 3.122 x 10^13 elementary charges Over 31 trillion electrons are stored on the capacitor plate.
Result:5 uC = 3.122 x 10^13 elementary charges
Frequently Asked Questions
What is a coulomb and how is it defined?
A coulomb (C) is the SI unit of electric charge. It is defined as the amount of charge transported by a constant current of one ampere in one second. One coulomb equals approximately 6.242 x 10^18 elementary charges (electrons or protons). The unit is named after French physicist Charles-Augustin de Coulomb who formulated the law of electrostatic force between charged particles.
How do I convert between coulombs and ampere-hours?
To convert coulombs to ampere-hours, divide the charge in coulombs by 3600, since one ampere-hour equals 3600 coulombs (1 amp flowing for 3600 seconds = 1 hour). Conversely, multiply ampere-hours by 3600 to get coulombs. For example, a battery rated at 2 Ah stores 7200 coulombs of charge. Milliampere-hours (mAh), commonly used for phone batteries, equal 3.6 coulombs each.
What is an elementary charge?
The elementary charge (e) is the magnitude of the electric charge carried by a single proton or electron. Its exact value is 1.602176634 x 10^-19 coulombs, as defined by the 2019 SI redefinition. It is one of the fundamental physical constants of nature. All observable electric charges are integer multiples of this elementary charge, a principle known as charge quantization.
What is a franklin or statcoulomb?
The franklin (Fr), also called the statcoulomb or electrostatic unit of charge (esu), is the unit of electric charge in the Gaussian CGS system. One franklin equals approximately 3.33564 x 10^-10 coulombs. It is defined such that two point charges of one franklin each, separated by one centimeter in vacuum, exert a force of one dyne on each other. While mostly replaced by SI units, it still appears in some theoretical physics literature.
References
Reviewed for accuracy by Manoj Kumar, Mathematics Educator ยท Editorial policy
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