Self and Mutual Inductance Self Inductance: An object with self-inductance can induce an electromotive force (EMF) in another object even when the two ob...
Self Inductance:
An object with self-inductance can induce an electromotive force (EMF) in another object even when the two objects are not connected by a conductor. This means that the object with self-inductance acts as a "battery" that generates an induced EMF.
Mutual Inductance:
Two objects with mutual inductance can induce an EMF in each other even when they are not connected by a conductor. This is because the magnetic fields of the two objects interact with each other, creating an induced current flow in the second object.
Coefficients of Inductance:
The ratio of the self-inductance of two objects to their mutual inductance is called the coefficient of self-inductance (L_s) and the coefficient of mutual inductance (L_m), respectively. These coefficients are given by the following formulas:
L_s = k * (μ0 * A)^2 / d
L_m = k * (μ0 * A)^2 / 4d
where:
k is a constant related to the geometry of the objects
μ0 is the permeability of free space
A is the area of the surface
d is the distance between the objects
The coefficient of self-inductance describes how an object with self-inductance will generate an induced EMF when a current is passed through it. The coefficient of mutual inductance describes how two objects with mutual inductance will influence each other's induced EMF.
Examples:
A long wire with a constant current flowing through it can induce an EMF in a nearby conductor. This is an example of self-inductance.
Two coils of wire placed close together can induce an EMF in each other. This is an example of mutual inductance.
A current-carrying conductor placed near a magnet can induce an induced EMF in the conductor. This is an example of self-inductance.
A conductor with a circular loop can induce an induced EMF in another conductor with a smaller loop placed close to it. This is an example of mutual inductance