Convert 1 joule to ergs in dimensional analysis.

By Ritesh|Updated : November 7th, 2022

1 joule is equal to 107 erg. According to the International System of Units, one Joule appears to be equivalent to the work that a force of one Newton would do on an object to cause it to move one meter in the force's direction. The joule appears to be the SI unit of energy, whereas the erg would be the CGS unit of energy.

Converting joule to ergs

1 Joule of Energy = 1 Newton x 1 metre

1 erg = 1 dyne x 1 cm

Then

1 joule = 1 Newton x 1 metre

= 105 dynes x 102 cm

= 107 erg

History of CGS

The German mathematician Carl Friedrich Gauss proposed the CGS system in 1832 as a basis for an absolute unit system based on the three basic units of length, mass, and time. Gauss selected the millimetre, milligramme, and second units. The British Association for the Advancement of Science's committee, which included the physicists James Clerk Maxwell and William Thomson, recommended in 1873 that the fundamental units of a centimetre, gramme, and second be adopted globally and that all derived electromagnetic units be expressed in these units with the prefix "C.G.S. unit of...".

Many CGS units' sizes ended up being inconvenient in real-world applications. For instance, many commonplace items, such as people, rooms, and buildings, are hundreds or thousands of centimetres long. Because of this, the CGS system never really took off outside of the scientific community. Beginning in the 1880s and significantly by the middle of the 20th century, the CGS system was gradually replaced for scientific purposes on a global scale by the MKS (metre-kilogram-second) system, which later evolved into the current SI standard.

Therefore, 1 joule is equal to 107 erg

Summary:

Convert 1 joule to ergs in dimensional analysis.

1 joule is equal to 107 erg. One Joule appears to be equivalent to the work that a force of one Newton would exert on an item to cause it to move one metre in the direction of the force, according to the International System of Units.