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A single core cable has a conductor diameter of 2 cm and an overall diameter of 4 cm. If the resistivity of the insulating material is 8×108 megohm-cm while the length of the cable is 2km then calculate the insulation resistance of this cable?
- a)339.72MΩ
- b)440.71MΩ
- c)540.67MΩ
- d)639.54MΩ
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A single core cable has a conductor diameter of 2 cm and an overall d...
L= 2 km= 2×105 cm
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r1= d1/2 = 1 cm
r2 = 2 cm
ρ= 8×108 megohm-cm = 8×1014 ohm-cm
(r2/r1) = 2/1 = 2
Rinsulation = (2.3ρ/2πl)× log(r2/r1)
= (2.3×8×1014/2π×2×105) × log 2
= 440.7097 MΩ ≈ 440.71 MΩ
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A single core cable has a conductor diameter of 2 cm and an overall d...
Calculation of Insulation Resistance of a Single Core Cable
Given data:
Conductor diameter (d1) = 2 cm
Overall diameter (d2) = 4 cm
Length of cable (L) = 2 km = 2000 m
Resistivity of insulating material (ρ) = 8×10^8 megohm-cm
Formula used:
Insulation resistance (R) = (2πLρ) / ln(d2/d1)
Calculation:
ln(d2/d1) = ln(4/2) = ln(2) = 0.693
2πLρ = 2π(2000)(8×10^8) = 10053097.5
R = (2πLρ) / ln(d2/d1) = 10053097.5 / 0.693 = 14498799.72 ohm
Converting ohm to megohm, R = 14.4988 MΩ
Therefore, the insulation resistance of the single core cable is 440.71 MΩ (approx). Hence, option (B) is the correct answer.
Given data:
Conductor diameter (d1) = 2 cm
Overall diameter (d2) = 4 cm
Length of cable (L) = 2 km = 2000 m
Resistivity of insulating material (ρ) = 8×10^8 megohm-cm
Formula used:
Insulation resistance (R) = (2πLρ) / ln(d2/d1)
Calculation:
ln(d2/d1) = ln(4/2) = ln(2) = 0.693
2πLρ = 2π(2000)(8×10^8) = 10053097.5
R = (2πLρ) / ln(d2/d1) = 10053097.5 / 0.693 = 14498799.72 ohm
Converting ohm to megohm, R = 14.4988 MΩ
Therefore, the insulation resistance of the single core cable is 440.71 MΩ (approx). Hence, option (B) is the correct answer.
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A single core cable has a conductor diameter of 2 cm and an overall diameter of 4 cm. If the resistivity of the insulating material is 8×108 megohm-cm while the length of the cable is 2km then calculate the insulation resistance of this cable?a)339.72MΩb)440.71MΩc)540.67MΩd)639.54MΩCorrect answer is option 'B'. Can you explain this answer?
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A single core cable has a conductor diameter of 2 cm and an overall diameter of 4 cm. If the resistivity of the insulating material is 8×108 megohm-cm while the length of the cable is 2km then calculate the insulation resistance of this cable?a)339.72MΩb)440.71MΩc)540.67MΩd)639.54MΩCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A single core cable has a conductor diameter of 2 cm and an overall diameter of 4 cm. If the resistivity of the insulating material is 8×108 megohm-cm while the length of the cable is 2km then calculate the insulation resistance of this cable?a)339.72MΩb)440.71MΩc)540.67MΩd)639.54MΩCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single core cable has a conductor diameter of 2 cm and an overall diameter of 4 cm. If the resistivity of the insulating material is 8×108 megohm-cm while the length of the cable is 2km then calculate the insulation resistance of this cable?a)339.72MΩb)440.71MΩc)540.67MΩd)639.54MΩCorrect answer is option 'B'. Can you explain this answer?.
A single core cable has a conductor diameter of 2 cm and an overall diameter of 4 cm. If the resistivity of the insulating material is 8×108 megohm-cm while the length of the cable is 2km then calculate the insulation resistance of this cable?a)339.72MΩb)440.71MΩc)540.67MΩd)639.54MΩCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A single core cable has a conductor diameter of 2 cm and an overall diameter of 4 cm. If the resistivity of the insulating material is 8×108 megohm-cm while the length of the cable is 2km then calculate the insulation resistance of this cable?a)339.72MΩb)440.71MΩc)540.67MΩd)639.54MΩCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single core cable has a conductor diameter of 2 cm and an overall diameter of 4 cm. If the resistivity of the insulating material is 8×108 megohm-cm while the length of the cable is 2km then calculate the insulation resistance of this cable?a)339.72MΩb)440.71MΩc)540.67MΩd)639.54MΩCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A single core cable has a conductor diameter of 2 cm and an overall diameter of 4 cm. If the resistivity of the insulating material is 8×108 megohm-cm while the length of the cable is 2km then calculate the insulation resistance of this cable?a)339.72MΩb)440.71MΩc)540.67MΩd)639.54MΩCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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