Inductance

Made by Mackenzie Rideout

Short Description of Topic

The Main Idea

Inductance is when a current from one coil causes current in a second, coil that is not connected to the original current or coil. A similar affect also happens within singular coils. A coil with current running through it will cause a current in the opposing direction to form. This opposing current actually works to slow down the original current. Because of these opposing currents the original current becomes almost sluggish. This quality is what makes it difficult to increase or decrease any current. Inductance is commonly found in circuits that contain a solenoid.

A Mathematical Model

To be able to successfully compute the inductance of a coil you will have to analyze the magnetic field that surrounds it. In the case of a solenoid, the magnetic field is B=μ0NI/d. For a solenoid this can give you information about the current running through one loop on the solenoid which you can then use to find the current that is running through the entire solenoid from beginning to end. You do this by taking the derivative of the magnetic field with respect to time and then multiplying this result by the number of loops in the solenoid.

A Computational Model

Examples

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