Electric Charge Converter

Convert between coulombs, milliampere-hours, and other charge units

About Electric Charge Measurement

What is Electric Charge?

Electric charge is a fundamental physical property of matter that causes it to experience electromagnetic forces when placed in an electric or magnetic field. It is one of the most basic properties of particles and is responsible for all electrical phenomena in the universe.

The concept of electric charge was first discovered by ancient Greeks who observed that amber, when rubbed with fur, could attract lightweight objects. This phenomenon, known as static electricity, was the first indication of electric charge in nature.

Fundamental Properties

  • Conservation: Total electric charge in an isolated system remains constant
  • Quantization: Charge exists in discrete units (multiples of elementary charge)
  • Polarity: Charge can be positive or negative
  • Additivity: Total charge is the algebraic sum of individual charges

Coulomb's Law and Electric Force

The force between two point charges is described by Coulomb's Law, discovered by French physicist Charles-Augustin de Coulomb in 1785. This law is fundamental to understanding electric charge interactions.

Coulomb's Law Formula

F = k × (q₁ × q₂) / r²

Where: F = force (N), k = Coulomb's constant (8.99×10⁹ N⋅m²/C²), q₁, q₂ = charges (C), r = distance (m)

This law states that the magnitude of the electrostatic force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Common Electric Charge Units and Conversions

UnitSymbolDefinitionConversion to Coulombs
CoulombCSI base unit1 C
Ampere-hourAhCharge transferred by 1A in 1 hour3,600 C
Milliampere-hourmAhCharge transferred by 1mA in 1 hour3.6 C
Elementary chargeeCharge of a single electron1.602×10⁻¹⁹ C
MicrocoulombμCOne millionth of a coulomb10⁻⁶ C
NanocoulombnCOne billionth of a coulomb10⁻⁹ C

Types of Electric Charge

Charge TypeCarrierValueReal-World Example
PositiveProton+1.602×10⁻¹⁹ CAtomic nucleus, positive ions
NegativeElectron-1.602×10⁻¹⁹ CElectron cloud, negative ions
NeutralAtom0 CMost everyday objects

Electric Charge Measurement Tools

Various instruments and methods are used to measure electric charge, each suited for different applications and charge magnitudes.

Electrometers

High-precision instruments that measure electric charge without significantly affecting the charge being measured. Used in:

  • • Laboratory research
  • • Electrostatic measurements
  • • Particle physics experiments
  • • Atmospheric electricity studies

Coulomb Meters

Direct charge measurement devices that integrate current over time. Applications include:

  • • Battery capacity testing
  • • Capacitor charge measurement
  • • Electroplating processes
  • • Charge transfer experiments

Charge Amplifiers

Electronic circuits that convert charge to voltage for easier measurement. Used in:

  • • Piezoelectric sensors
  • • Accelerometers
  • • Pressure sensors
  • • Vibration monitoring

Faraday Cups

Conductive containers that capture and measure charged particles. Common in:

  • • Mass spectrometry
  • • Ion beam analysis
  • • Plasma physics
  • • Particle accelerators

Electric Charge - Current - Time Relationship

Electric charge is fundamentally related to electric current through the relationship between charge, current, and time.

Fundamental Formula

Q = I × t

Where: Q = charge (C), I = current (A), t = time (s)

Practical Examples

  • • 1A for 1s = 1C of charge
  • • 1A for 1h = 3,600C = 1Ah
  • • 100mA for 10h = 3,600C = 1Ah
  • • 2A for 30min = 3,600C = 1Ah

Battery Applications

  • • Smartphone: 3,000mAh = 10,800C
  • • Laptop: 5,000mAh = 18,000C
  • • Car battery: 50Ah = 180,000C
  • • AA battery: 1Ah = 3,600C

Graph: Charge vs. Current Relationship

The relationship between electric charge and current can be visualized as a linear graph where charge is the area under the current-time curve.

Charge vs. Current Graph:
Y-axis: Charge (Coulombs)
X-axis: Time (seconds)
Slope: Current (Amperes)

Key Points:

  • • Linear relationship: Q = I × t
  • • Slope represents current magnitude
  • • Area under curve equals total charge
  • • Constant current produces straight line
  • • Varying current produces curved line

Why Electric Charge Measurement is Important

Accurate electric charge measurement is crucial across numerous industries and scientific disciplines, enabling technological advancement and ensuring safety.

Electronics Industry

  • • Battery capacity and performance testing
  • • Capacitor design and quality control
  • • Semiconductor device characterization
  • • Circuit board testing and validation
  • • Power supply efficiency measurement

Scientific Research

  • • Particle physics experiments
  • • Plasma physics and fusion research
  • • Atmospheric electricity studies
  • • Electrochemistry research
  • • Materials science investigations

Safety and Compliance

  • • Electrostatic discharge protection
  • • Lightning protection systems
  • • Industrial safety standards
  • • Medical device safety
  • • Aerospace electrical systems

Energy and Power

  • • Renewable energy systems
  • • Electric vehicle battery management
  • • Grid stability and power quality
  • • Energy storage optimization
  • • Power factor correction

Frequently Asked Questions (FAQ)

What is the difference between charge and current?

Electric charge is a property of matter (measured in coulombs), while electric current is the rate of flow of charge (measured in amperes). Current is charge per unit time: I = Q/t.

Why is charge quantized?

Charge quantization occurs because all charged particles carry integer multiples of the elementary charge (1.602×10⁻¹⁹ C). This fundamental property of nature was discovered through experiments and is explained by quantum field theory.

How is charge conserved?

The law of charge conservation states that the total electric charge in an isolated system remains constant. Charge can be transferred between objects but cannot be created or destroyed.

What causes static electricity?

Static electricity occurs when objects gain or lose electrons through friction, contact, or induction, creating an imbalance of positive and negative charges. This imbalance creates electric fields and can cause attractive or repulsive forces.

How do batteries store charge?

Batteries store charge through electrochemical reactions. During charging, electrons are forced from the positive to negative electrode, creating a chemical potential. During discharge, electrons flow back, releasing stored energy.

Frequently Asked Questions About Charge Conversion