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A wave is incident normally on a good conductor. If the frequency of a plane electromagnetic wave increases four times, the skin depth, will
  • a)
    remain the same
  • b)
    decrease by a factor of 4
  • c)
    increase by a factor of 2
  • d)
    decrease by a factor of 2
Correct answer is option 'D'. Can you explain this answer?
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A wave is incident normally on a good conductor. If the frequency of a...
Skin depth (δ)

∴ 
When the frequency is increased 4-times, then skin depth will become half.
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Most Upvoted Answer
A wave is incident normally on a good conductor. If the frequency of a...
Explanation:

When a plane electromagnetic wave is incident on a good conductor, it induces electric currents in the conductor. These currents create an opposing magnetic field that results in the wave being attenuated as it penetrates into the conductor. The depth to which the wave can penetrate is known as the skin depth.

The skin depth is given by the equation:

δ = √(2/μσf)

Where:
δ is the skin depth
μ is the permeability of the conductor
σ is the conductivity of the conductor
f is the frequency of the wave

Effect of Frequency on Skin Depth:

When the frequency of the wave increases, the skin depth decreases. This can be understood by examining the skin depth equation. As the frequency increases, the term (1/√f) also increases, causing the skin depth to decrease.

Effect of Increasing Frequency Four Times:

If the frequency of the wave increases four times, the term (1/√f) will become (1/√4f) = (1/2√f). This means that the skin depth will decrease by a factor of 2.

Reason for Decrease in Skin Depth:

The decrease in skin depth with increasing frequency can be explained by the behavior of the induced currents in the conductor. At higher frequencies, the induced currents tend to flow near the surface of the conductor, rather than penetrating deep into the material. This is because the higher frequency causes the skin depth to become smaller, restricting the penetration of the wave into the conductor.

Conclusion:

In conclusion, when the frequency of a plane electromagnetic wave incident on a good conductor increases four times, the skin depth decreases by a factor of 2. This is due to the behavior of the induced currents, which tend to flow near the surface of the conductor at higher frequencies.
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it depends on the length of the conductor the capacitance of the line is proportional to the length of the transmission line their effect is negligible on the performance of short having a length less than 80 km and low voltage transmission accidents of the transmission line along with the conductances forms the shunted mittens the conductance and the transmission line is because of the leakage over the surface of the conductor considered a line consisting of two conductors and be each of radius are the distance between the conductors being Des shown in the diagram below minus the potential difference between the conductors and via's work QA charge on conductor QB charge on conductor vvab pencil difference between conductor and the Epsilon minus absolute primitivity QA plus QV = 0 so that QA equals QB - equals DBA equals data equals DB equals our substituting these values and voltage equation we get the capacitance between the conductors is cab is referred to as lying to line capacitance if the two conductors are in VR oppositely charge then the potential difference between them is zero then the potential of each conductor is given by one half bath the capacitance between each conductor and point of zero potential and is capacitive CN is called the capacitance to neut or capacitance to ground capacitance cab is the combination of two equal capacity and VN series thus capacitance to neutral is twice the capacitance between the conductors IE CN equals to Cave the absolute primitivity Epsilon is given by Epsilon equals epsilono Epsilon are where epsilano is the permittivity of the free space and Epsilon or is the relative primitivity of the medium prayer capacitance reactants between one conductor and neutral capacitance of the symmetrical three phase line let a balanced system of voltage be applied to a symmetrical three-phase line shown below the phasor diagram of the three phase line with equilateral spacing is shown below take the voltage of conductor to neutral as a reference phaser the potential difference between conductor and we can be written the similarly potential difference between conductors and sea is on adding equations one and two we get also combining equation three and four from equation 6 and 7 the line to neutral capacitance the capacitance of symmetrical three phase line is same as that of the two wire line Related: Capacitance of Transmission Lines?

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A wave is incident normally on a good conductor. If the frequency of a plane electromagnetic wave increases four times, the skin depth, willa)remain the sameb)decrease by a factor of 4c)increase by a factor of 2d)decrease by a factor of 2Correct answer is option 'D'. Can you explain this answer?
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A wave is incident normally on a good conductor. If the frequency of a plane electromagnetic wave increases four times, the skin depth, willa)remain the sameb)decrease by a factor of 4c)increase by a factor of 2d)decrease by a factor of 2Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A wave is incident normally on a good conductor. If the frequency of a plane electromagnetic wave increases four times, the skin depth, willa)remain the sameb)decrease by a factor of 4c)increase by a factor of 2d)decrease by a factor of 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wave is incident normally on a good conductor. If the frequency of a plane electromagnetic wave increases four times, the skin depth, willa)remain the sameb)decrease by a factor of 4c)increase by a factor of 2d)decrease by a factor of 2Correct answer is option 'D'. Can you explain this answer?.
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