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The capacitance measured between any two cores of a 3-core cable with the sheathed earthed is 3μ F. The capacitance per phase will be
  • a)
    15μ F
  • b)
    6μ F
  • c)
    1μ F
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The capacitance measured between any two cores of a 3-core cable with...
CN = 2CAB = 2 X 3μ F = 6μ F
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Most Upvoted Answer
The capacitance measured between any two cores of a 3-core cable with...
Given information:
- 3-core cable with sheathed earthed
- Capacitance measured between any two cores = 3μF

To find:
- Capacitance per phase

Solution:
- A 3-core cable consists of three conductors (or cores) wrapped in insulation and a sheath around them. The sheath is usually earthed to provide protection against electrical faults.
- When any two cores of the cable are considered, a capacitance is formed between them due to the insulation between them. This capacitance is measured as 3μF.
- Since the capacitance is formed between any two cores, we need to consider all possible combinations of pairs of cores to find the total capacitance of the cable.

- Let's assume the three cores are labeled as A, B, and C. Then the capacitance between each pair of cores can be calculated as follows:
- Capacitance between A and B = Capacitance between B and C = Capacitance between C and A = 3μF
- Total capacitance between A and B and C = Capacitance between A and B + Capacitance between B and C = 3μF + 3μF = 6μF
- Total capacitance between A and C and B = Capacitance between A and C + Capacitance between C and B = 3μF + 3μF = 6μF
- Total capacitance between B and C and A = Capacitance between B and C + Capacitance between C and A = 3μF + 3μF = 6μF
- Total capacitance of the cable = Total capacitance between A and B and C + Total capacitance between A and C and B + Total capacitance between B and C and A
= 6μF + 6μF + 6μF
= 18μF
- Now, since the cable is 3-core, the total capacitance is shared equally among the three phases. Therefore, the capacitance per phase can be calculated as:
- Capacitance per phase = Total capacitance / Number of phases
= 18μF / 3
= 6μF

Therefore, the capacitance per phase of the 3-core cable with sheathed earthed is 6μF, which is option B.
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The capacitance measured between any two cores of a 3-core cable with the sheathed earthed is 3μ F. The capacitance per phase will bea)15μ Fb)6μ Fc)1μ Fd)None of theseCorrect answer is option 'B'. Can you explain this answer?
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