← Current, voltage, resistance, and circuit diagrams

Voltage: the energy each coulomb transfers between two points

At a point in a desk fan's wire, 1.2 C of charge pass each second. Enter the current, in amperes.

A small flashlight battery is labeled 1.5 V. A car battery is labeled 12 V. The number is not an amount of charge, and it is not a current. So what does it mean?

Earlier in this course you saw the volt: 1 V is 1 J of energy for each coulomb of charge, and potential difference and voltage name the same quantity. This lesson puts the volt to work between two points of a circuit.

Take the car battery: 12 V between its two terminals.

A 12 V battery gives each coulomb that passes through it 12 J of energy.

BatteryVoltageEnergy given to each coulombcar battery12 V12 J
The 12 V car battery: every coulomb that passes through gains 12 J.

When two coulombs pass, the battery gives 24 J. When half a coulomb passes, it gives 6 J. The number of volts states the energy per coulomb.

Charge through the 12 V batteryEnergy given1 C12 J2 C24 J0.5 C6 J
The per-coulomb number scales with the charge: 2 C gain 24 J; half a coulomb gains 6 J.

The same idea works between any two points of a circuit, not just across a battery.

The voltage (potential difference) between two points is the energy transferred per coulomb of charge that moves between them: 1 V = 1 J/C.

Across a lamp, the voltage states how much energy each coulomb transfers to the lamp as it passes through.

What does the voltage between two points of a circuit state?

One caution: voltage does not flow around the circuit. Current flows; voltage is a difference, measured between two points.

A 9.0 V battery drives a current through a small fan. How much energy does the battery transfer to each coulomb that passes through it?

Write down the fact:

The voltage states the energy transferred per coulomb.

Apply it:

9.0 V means 9.0 J for each coulomb.

Each coulomb gains 9.0 J.

A 6.0 V battery powers a bike light. Enter the energy, in joules, the battery gives each coulomb that passes through it.

Between two points of a circuit, each coulomb that moves transfers 5 J. What is the voltage between the two points?

Write down the fact:

The voltage between two points is the energy transferred per coulomb moving between them.

Read the value:

5 J for each coulomb is 5 V.

The voltage between the points is 5 V.

Each coulomb moving between two points of a circuit transfers 3 J. What is the voltage between the points?

The battery labels, read correctly: the flashlight battery gives each coulomb 1.5 J; the car battery gives each coulomb 12 J.

BatteryVoltageEnergy given to each coulombflashlight battery1.5 V1.5 Jcar battery12 V12 J
Every label read the same way: the volts state the joules given to each coulomb.

Your turn

A 4.5 V battery pack powers a bike light. Which statement is correct?

A wall outlet supplies 120 V between its two contacts. What does the 120 state?

Imani says a battery's voltage flows around the loop and gets used up as it goes. Which statement about voltage is correct?