strength of electrical field within PM is _ proportional to the squared distance between them (x)
inversely
The strength of the electrical field within a PM (permanent magnet) is not directly proportional to the squared distance between them (x). The strength of the electrical field depends on the shape, size, and magnetic properties of the PM.
A permanent magnet is made up of magnetic domains that have a net magnetic moment in a particular direction. This magnetic moment arises due to the spin and orbital motion of the electrons in the atoms. When a PM is placed in an external magnetic field, its magnetic domains get aligned with the external field and the PM behaves like a magnet.
The strength of the magnetic field around a PM depends on the magnetic moment of the domains and their alignment. The magnetic field strength varies with the distance from the PM and is proportional to the inverse square of the distance (1/x^2) for a point far from the PM.
However, the electrical field (and not the magnetic field) around a PM arises when there is a change in magnetic flux linked with an electrical conductor. This effect is known as electromagnetic induction. The strength of the electrical field depends on the rate of change of the magnetic flux and is not directly proportional to the squared distance between them.
Therefore, the statement that the strength of the electrical field within a PM is proportional to the squared distance between them (x) is not true. The strength of the electrical field around a PM depends on the rate of change of the magnetic flux linked with it.
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