What is a Coulomb?

A coulomb (C) is the unit of electric charge in the International System of Units (SI). It represents the quantity of electric charge carried by a certain number of electrons.

Definition of Coulomb

One coulomb is the amount of charge transferred by a current of one ampere in one second.

1C=1A×1s

Q=It

This means that if a current of 1 ampere flows through a conductor for 1 second, the total charge moved is 1 coulomb.

 

Coulomb and Elementary Charge (Electron Charge)

Since electrons carry charge, we can relate coulombs to electrons:

  • Charge of one electron:

e=1.602×10−19C

  • Number of electrons in one coulomb:

1C=1.602×10−191​=6.242×1018 electrons

This means that one coulomb of charge is equivalent to the charge of approximately 6.242 × 10¹⁸ electrons.

 Force and Newton’s Definition

Force is a push or pull acting on an object that can cause it to move, stop, or change direction. It is a vector quantity, meaning it has both magnitude and direction.

 

SI Unit of Force: Newton (N)

The unit of force is the Newton (N), named after Sir Isaac Newton.

This means one newton is the force required to accelerate a 1 kg object at a rate of 1 m/s².

Newton’s Second Law of Motion (Force Formula)

Newton’s second law states that force is the product of mass and acceleration:

where:
    • F = Force (in Newtons, N)
    • m = Mass (in kilograms, kg)
    • a = Acceleration (in meters per second squared,)

Work

The unit of work or energy is the joule (J) where one joule is one newton meter.

 The joule is defined as the work done or energy transferred when a force of one newton is exerted through a distance of one meter in the direction of the force.

W = Fs

Current

The current is the flow of current.

Thus, current can be measured by measuring how many electrons are passing through material per second.

The flow of charge per unit time is used to quantify an electric current.

 𝐼 = 𝑄 𝑡 𝐴𝑚𝑝𝑒𝑟𝑒

Electric Potential and Potential Difference

v  Electric Potential

Electric potential is the ability of a charged particle to do work due to its position in an electric field. It is the amount of work done in bringing a unit positive charge from infinity to a specific point in an electric field.

v  Unit of Electric Potential (Volt)

The SI unit of electric potential is the Volt (V).



This means one volt is the potential at a point if one joule of work is needed to move one coulomb of charge to that point.

v   Potential Difference

Potential difference (Voltage) is the difference in electric potential between two points in a circuit. It represents the energy required to move a charge between two points.

Example:

If a battery has a potential difference of 12V, it means 12 joules of energy are used to move 1 coulomb of charge through the circuit.

v  Electromotive Force (EMF)

  • EMF is the energy supplied per unit charge by a battery or generator.
  • It is measured in volts (V) and represents the maximum voltage a power source can provide.

Example:

  • A 12V battery has an EMF of 12 volts, meaning it provides 12J of energy per coulomb of charge.