What increases the resistance of wire at high frequencies?

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SDSC (ISRO) Technician B (Electronic Mechanic): Previous Year Paper (Held on 29 April 2018)
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  1. Temperature 
  2. Voltage
  3. Skin effect
  4. Insulation

Answer (Detailed Solution Below)

Option 3 : Skin effect
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  • The resistance does depend on the frequency. The reason is the 'skin effect’.
  • When an alternating current is passed through a small portion of the conductor, the skin depth carries the current.
  • The value of skin depth is inversely proportional to frequency. As the frequency is increased, the skin depth decreases.
  • But the value of ac resistance is directly proportional to frequency, or in other words, inversely proportional to skin depth.

 

F2 Shubham 19.1.21 Pallavi D 3

Thus, at higher frequencies, ac resistance is higher.

Important Notes:

  • The skin depth is a measure of the current density and is defined as the distances from the outer edges of a conductor to the point at which the current density falls to 1/e of the value at the surface.
  • The non-uniform distribution of electric current over the surface or skin of the conductor carrying a.c is called the skin effect.
  •  The concentration of charge is more near the surface as compared to the core of the conductor.
  • The ohmic resistance of the conductor is increased due to the concentration of current on the surface of the conductor.
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