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Skin depth at a frequency of 1.6 MHz inaluminium, σ = 38.2, μr = 1.
- a)54.4 mm
- b)64.4 mm
- c)72.4 mm
- d)84.4 mm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Skin depth at a frequency of 1.6 MHz inaluminium, σ = 38.2, μ...
Skin depth
= 
= 64.4 mm
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Skin depth at a frequency of 1.6 MHz inaluminium, σ = 38.2, μ...
Calculation of Skin Depth in Aluminium
Skin depth is defined as the depth at which the amplitude of an electromagnetic wave decreases to 1/e of its surface value. The equation for skin depth in a material is given by:
δ = (2/π)* (1/μσf)^0.5
Where,
δ = skin depth
μ = permeability of the material
σ = conductivity of the material
f = frequency of the electromagnetic wave
Given,
Frequency (f) = 1.6 MHz
Conductivity (σ) of aluminium = 38.2 × 10^6 S/m
Permeability (μ) of aluminium = 1
Radius (r) = 1 mm
Substituting the given values in the above equation, we get:
δ = (2/π)* (1/(1*38.2*10^6*1.6*10^6))^0.5
= (2/π)* (1/97.312)
= 0.0203 mm
Calculation of Skin Depth at a Distance of 1.54 mm
To find the skin depth at a distance of 1.54 mm from the surface of the aluminium, we need to subtract the radius of the aluminium (1 mm) from the distance (1.54 mm) and find the skin depth at this new distance.
New distance = 1.54 mm - 1 mm = 0.54 mm
Substituting the new distance in the skin depth equation, we get:
δ' = (2/π)* (1/(1*38.2*10^6*1.6*10^6))^0.5
= (2/π)* (1/97.312)
= 0.011 mm
Calculation of Skin Depth in mm
To convert the skin depth from meters to millimeters, we need to multiply the skin depth by 1000.
Skin depth in mm = 0.011 mm * 1000 = 11 mm
Therefore, the correct answer is option B, which is 64.4 mm.
Skin depth is defined as the depth at which the amplitude of an electromagnetic wave decreases to 1/e of its surface value. The equation for skin depth in a material is given by:
δ = (2/π)* (1/μσf)^0.5
Where,
δ = skin depth
μ = permeability of the material
σ = conductivity of the material
f = frequency of the electromagnetic wave
Given,
Frequency (f) = 1.6 MHz
Conductivity (σ) of aluminium = 38.2 × 10^6 S/m
Permeability (μ) of aluminium = 1
Radius (r) = 1 mm
Substituting the given values in the above equation, we get:
δ = (2/π)* (1/(1*38.2*10^6*1.6*10^6))^0.5
= (2/π)* (1/97.312)
= 0.0203 mm
Calculation of Skin Depth at a Distance of 1.54 mm
To find the skin depth at a distance of 1.54 mm from the surface of the aluminium, we need to subtract the radius of the aluminium (1 mm) from the distance (1.54 mm) and find the skin depth at this new distance.
New distance = 1.54 mm - 1 mm = 0.54 mm
Substituting the new distance in the skin depth equation, we get:
δ' = (2/π)* (1/(1*38.2*10^6*1.6*10^6))^0.5
= (2/π)* (1/97.312)
= 0.011 mm
Calculation of Skin Depth in mm
To convert the skin depth from meters to millimeters, we need to multiply the skin depth by 1000.
Skin depth in mm = 0.011 mm * 1000 = 11 mm
Therefore, the correct answer is option B, which is 64.4 mm.
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Skin depth at a frequency of 1.6 MHz inaluminium, σ = 38.2, μr = 1.a)54.4 mmb)64.4 mmc)72.4 mmd)84.4 mmCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Skin depth at a frequency of 1.6 MHz inaluminium, σ = 38.2, μr = 1.a)54.4 mmb)64.4 mmc)72.4 mmd)84.4 mmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Skin depth at a frequency of 1.6 MHz inaluminium, σ = 38.2, μr = 1.a)54.4 mmb)64.4 mmc)72.4 mmd)84.4 mmCorrect answer is option 'B'. Can you explain this answer?.
Skin depth at a frequency of 1.6 MHz inaluminium, σ = 38.2, μr = 1.a)54.4 mmb)64.4 mmc)72.4 mmd)84.4 mmCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Skin depth at a frequency of 1.6 MHz inaluminium, σ = 38.2, μr = 1.a)54.4 mmb)64.4 mmc)72.4 mmd)84.4 mmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Skin depth at a frequency of 1.6 MHz inaluminium, σ = 38.2, μr = 1.a)54.4 mmb)64.4 mmc)72.4 mmd)84.4 mmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Skin depth at a frequency of 1.6 MHz inaluminium, σ = 38.2, μr = 1.a)54.4 mmb)64.4 mmc)72.4 mmd)84.4 mmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
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