2.1 Charge, Voltage & Current

Coulombs, potential difference, current, reference voltage, and a first connection to capacitors.

Charge

Electric charge is represented by Q and measured in coulombs (C).

One coulomb corresponds to approximately 6.25 × 10¹⁸ elementary charges. [1, pp. 30-32]

We normally do not count individual electrons. The coulomb gives us a practical unit for talking about an amount of charge.

Voltage: potential difference

Voltage is a potential difference between two points. It is measured in volts (V). [1, pp. 33-35]

A useful relationship is:

1 V = 1 J/C

That means voltage can be understood as energy available per unit of charge.

Raised-glass analogy

Imagine choosing the floor as a reference height.

  • a glass on the floor is at the reference level
  • lifting the glass gives it more gravitational potential energy
  • a point above the reference can be treated as positive
  • a point below a chosen reference can be treated as negative

Voltage works similarly as a difference relative to a reference point. In an electronic system, that reference is often called ground.

The analogy is about potential, not about electricity literally behaving like water.

ImportantVoltage can exist without current

A battery can have a voltage across its terminals even when nothing is connected and no current is flowing. [1, p. 49]

Current: charge in motion

Current is represented by I and measured in amperes (A).

I = Q / t

Therefore:

1 A = 1 C/s

Current is a rate. A useful water analogy is the rate at which water is being poured, not the total amount of water in the glass. [1, pp. 35-38]

Why coulombs matter later

Capacitors give charge a practical meaning.

A capacitor stores separated charge and electrical energy. Its capacitance tells us how much charge can be stored at a given voltage:

C = Q / V

We will use that relationship later. For now, the important connection is:

charge + voltage -> capacitor behaviour

Modern multilayer ceramic capacitors are extremely common. Open Circuits notes that a smartphone may contain hundreds of MLCCs, many used to help stabilize power supplies. [2, p. 36]

Quick check

  1. What does a coulomb measure?
  2. What is the difference between voltage and current?
  3. Can voltage exist when current is zero?
  4. If 3.0 C of charge passes a point in 2.0 s, what is the current?
  5. Why might capacitors make the idea of charge useful when looking at a motherboard?
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