Electric Potential Difference (DP IB Physics)
Revision Note
Electric Potential Difference
Potential difference (p.d.) is a measure of the electrical potential energy transferred by electrons as they move between two points in a conductor
The definition of potential difference, also known as voltage, is:
The work done per unit charge on moving a positive charge between two points along the path of the current
Potential difference is measured in volts (V) and is calculated as follows:
Where:
V = potential difference (V)
W = work done (J)
q = charge (C)
From the above equation, one volt is equal to one joule per unit coulomb
1 V = 1 J C–1
The potential difference in a d.c. circuit is provided by cells or batteries
Each cell has a positive terminal (high potential location) and a negative terminal (low potential location)
A battery is a collection of cells arranged positive terminal to negative terminal
A cell and a battery made of three cells
When both terminals of a cell, or battery, are connected to a loop of conducting wire, a circuit is formed
The cell or battery is the source of the potential difference needed for the electrons to flow
Electrons gain electrical potential energy as they move through the cell
A small amount of their energy is transferred to the metal ions in the wire
The flow of electrons is from the negative to the positive terminal
The Electronvolt
The energy values associated to electrons and other microscopic particles are very small when expressed in SI units
For this reason, it is often more convenient to use another unit for energy - the electronvolt (eV)
The electronvolt is defined as follows:
The amount of energy needed to move an electron through a potential difference of one volt
Worked Example
Determine the value of 1 eV in joules (J).
Answer:
Step 1: Recall the definition of electronvolt
One electronvolt is the work W associated with an electron of charge e moving through a potential difference V = 1V
Where e is the charge of an electron = 1.6 × 10–19 C
Step 2: Substitute this and the value of the voltage into the above equation for W
W = (1.6 × 10–19 C) × 1 V
W = 1.6 × 10–19 J
One electronvolt is equal to 1.6 × 10–19 joules
Examiner Tips and Tricks
The value for the charge of an electron is given on your data sheet.
The units of electronvolt (eV) will appear in future topics such as a in Spectra & Atomic Energy Levels
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