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For conductors carrying high frequency electromagnetic waves, explain what is meant by the term skin depth. If the following second order differential equation describes the electric field dependence of the x-component of a plane electromagnetic wave of angular frequency, @, propagating in the z-direction in a metal of conductivity o and permeability u (here j= -1) d'E, = jouoE, dz? has a solution E, = E,e¯² then show that the skin depth is given by:- 2 8 = orlm

For conductors carrying high frequency electromagnetic waves, explain what is meant by the term skin depth. If the following second order differential equation describes the electric field dependence of the x-component of a plane electromagnetic wave of angular frequency, @, propagating in the z-direction in a metal of conductivity o and permeability u (here j= -1) d'E, = jouoE, dz? has a solution E, = E,e¯² then show that the skin depth is given by:- 2 8 = orlm

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For conductors carrying high frequency electromagnetic waves, explain what is meant by the term skin depth. Q4 (a) (b) If the following second order differential equation describes the electric field dependence of the x-component of a plane electromagnetic wave of angular frequency, @, propagating in the z-direction in a metal of conductivity o and permeability u (here j= -1) d² E - = jouoE, dz? has a solution E, = E,e¯² then show that the skin depth is given by:- 2 An electromagnetic shield is made of stainless steel with a conductivity o =1.16×10°S /m and relative magnetic permeability u, = 500. For an electromagnetic wave at a frequency of 100 MHz, what thickness of stainless steel is required to obtain an electric field attenuation of -100 dB? (c) (d) Name two practical applications which utilise the concept of skin effect in conductors carrying high frequency signals.
Transcribed Image Text:For conductors carrying high frequency electromagnetic waves, explain what is meant by the term skin depth. Q4 (a) (b) If the following second order differential equation describes the electric field dependence of the x-component of a plane electromagnetic wave of angular frequency, @, propagating in the z-direction in a metal of conductivity o and permeability u (here j= -1) d² E - = jouoE, dz? has a solution E, = E,e¯² then show that the skin depth is given by:- 2 An electromagnetic shield is made of stainless steel with a conductivity o =1.16×10°S /m and relative magnetic permeability u, = 500. For an electromagnetic wave at a frequency of 100 MHz, what thickness of stainless steel is required to obtain an electric field attenuation of -100 dB? (c) (d) Name two practical applications which utilise the concept of skin effect in conductors carrying high frequency signals.
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