Derivatives Application: Electrical Current

in hive-128780 •  19 days ago 

In this video I go over another derivatives application and show how the electrical current can be defined using the definition of the derivative. The electrical current is the rate of change of the electrical charge with time which makes it applicable to write it as a derivative because the derivative can also be interpreted as a rate of change.


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Derivatives Application: Electric Current

Derivatives Application Example  Current.jpeg

Electric Current

An electric charge, Q, is the quantity of unbalanced electricity (either positive or negative) depending on whether there is an excess or deficiency of electrons.

  • Causes a force to occur when close to other electrically charged matter.
    • Same signed charges repel but opposite charges attract.
    • SI (or International System of Units, Metric) unit is the Coulomb (or C)
  • An electric current, I, is a flow of electric charge.
    • SI unit is the ampere (A)

An electric current exists whenever electric charges move as shown in the figure below:

image.png

image.png

Other rates of change in physics that can be defined as a derivative are:

  • Velocity
  • Density
  • Power (rate of at which work is being done)
  • Rate of heat flow
  • Temperature gradient (the rate of change of temperature with respect to position)
  • The rate of decay of a radioactive substance in nuclear physics
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