Electric Potential Difference (DP IB Physics)

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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:

V space equals space fraction numerator space W over denominator q end fraction

  • 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

5-1-3-direct-current-cell-and-battery_sl-physics-rn

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

W space equals space q V space equals space e V

  • 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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Ashika

Author: Ashika

Expertise: Physics Project Lead

Ashika graduated with a first-class Physics degree from Manchester University and, having worked as a software engineer, focused on Physics education, creating engaging content to help students across all levels. Now an experienced GCSE and A Level Physics and Maths tutor, Ashika helps to grow and improve our Physics resources.