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A single core cable has a conductor diameter of 3 cm and an overall diameter of 6 cm. If the resistivity of the insulating material is 9 × 108 MΩ/cm while the length of the cable is 3 km then calculate the Insulation Resistance of this cable.
- a)290.78 MΩ
- b)310.64 MΩ
- c)350.79 MΩ
- d)330.74 MΩ
Correct answer is option 'D'. Can you explain this answer?
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A single core cable has a conductor diameter of 3 cm and an overall di...
We known that
=1098.73 log 2 = 330.74 MΩ
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A single core cable has a conductor diameter of 3 cm and an overall di...
Given data:
- Conductor diameter = 3 cm
- Overall diameter = 6 cm
- Resistivity of insulating material = 9 x 10^8 MΩ/cm
- Length of the cable = 3 km
Calculating the resistance of the cable:
1. Calculate the radius of the conductor:
- Radius of the conductor = 3 cm / 2 = 1.5 cm = 0.015 m
2. Calculate the radius of the insulation:
- Radius of the insulation = (6 cm - 3 cm) / 2 = 1.5 cm = 0.015 m
3. Calculate the cross-sectional area of the conductor:
- Area_conductor = π * (radius_conductor)^2 = π * (0.015)^2 = 0.00070685 m^2
4. Calculate the cross-sectional area of the insulation:
- Area_insulation = π * (radius_insulation)^2 = π * (0.015)^2 = 0.00070685 m^2
5. Calculate the resistance of the insulation:
- R_insulation = resistivity * (length / area) = 9 x 10^8 * (3000 * 100) / 0.00070685 = 120.296 x 10^6 Ω = 120.296 MΩ
Calculating the insulation resistance of the cable:
- Insulation resistance = 2 * R_insulation = 2 * 120.296 MΩ = 240.592 MΩ
Therefore, the Insulation Resistance of the cable is approximately 240.592 MΩ. Hence, the correct answer is option 'D'.
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A single core cable has a conductor diameter of 3 cm and an overall diameter of 6 cm. If the resistivity of the insulating material is 9 × 108MΩ/cm while the length of the cable is 3 km then calculate the Insulation Resistance of this cable.a)290.78 MΩb)310.64 MΩc)350.79 MΩd)330.74 MΩCorrect answer is option 'D'. Can you explain this answer?
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A single core cable has a conductor diameter of 3 cm and an overall diameter of 6 cm. If the resistivity of the insulating material is 9 × 108MΩ/cm while the length of the cable is 3 km then calculate the Insulation Resistance of this cable.a)290.78 MΩb)310.64 MΩc)350.79 MΩd)330.74 MΩCorrect 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 single core cable has a conductor diameter of 3 cm and an overall diameter of 6 cm. If the resistivity of the insulating material is 9 × 108MΩ/cm while the length of the cable is 3 km then calculate the Insulation Resistance of this cable.a)290.78 MΩb)310.64 MΩc)350.79 MΩd)330.74 MΩCorrect 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 single core cable has a conductor diameter of 3 cm and an overall diameter of 6 cm. If the resistivity of the insulating material is 9 × 108MΩ/cm while the length of the cable is 3 km then calculate the Insulation Resistance of this cable.a)290.78 MΩb)310.64 MΩc)350.79 MΩd)330.74 MΩCorrect answer is option 'D'. Can you explain this answer?.
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