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Question

If supply frequency increases, the skin depth is

A.

Decreased

B.

Increased

C.

Remain same

D.

None of these

Answer ( Option B)

Increased

Solution

Skin effect : Flowing through a conductor, Alternating Current (AC) becomes distributed such that the current density is largest near the surface of the conductor and decreases exponentially with greater depths in the conductor. This phenomenon is known as Skin effect.

●Skin depth depends upon the frequency of alternating current, as frequency increases, current flow moves to the surface, resulting in less skin depth.

●Skin effect reduces the effective cross-section of the conductor and thus increases its effective resistance.

Hence, the correct option is (B).

&Key Points:-

The general formula for the skin depth when there is no dielectric or magnetic loss is

           

Where,  = Resistivity of conductor

       = Angular frequency of current =  where f is frequency

             = Permeability of conductor

             = Permittivity of conductor.

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