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A cable is tested by loss of charge method using a ballistic galvanometer with following results:
Discharged immediately after electrification, deflection 200 divisions.
Discharged after 20s and after electrification:
(i) deflection, 100 divisions,
(ii) when in parallel with a resistance of 10 MW, deflection 50 divisions.
What is the insulation resistance of the cable? 
  • a)
    20 MΩ
  • b)
    30 MΩ
  • c)
    40 MΩ
  • d)
    10 MΩ
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A cable is tested by loss of charge method using a ballistic galvanome...
Let R be the insulation resistance of the cable and R' be the equivalent resistance of the parallel combination of insulation resistance R and 10 MΩ resistance.

Dividing equation (1) by (2), we get: 
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Most Upvoted Answer
A cable is tested by loss of charge method using a ballistic galvanome...
To find the insulation resistance of the cable, we can use the formula:

Insulation Resistance = (Deflection with resistance - Deflection without resistance) * Resistance

Given:
Deflection without resistance (i.e., immediately after electrification) = 200 divisions
Deflection with resistance (i.e., after 20s) = 100 divisions
Deflection with resistance (i.e., when in parallel with a resistance of 10 MW) = 50 divisions

Resistance = 10 MW = 10^7 Ω

Using the formula, the insulation resistance can be calculated as follows:

Insulation Resistance = (100 - 200) * 10^7 = -100 * 10^7 = -10^9 Ω

However, the insulation resistance cannot be negative. Therefore, the given values and calculations seem to have an error. Please reconfirm the given data or provide additional information to correct the calculations.
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A cable is tested by loss of charge method using a ballistic galvanometer with following results:Discharged immediately after electrification, deflection 200 divisions.Discharged after 20s and after electrification:(i) deflection, 100 divisions,(ii) when in parallel with a resistance of 10 MW, deflection 50 divisions.What is the insulation resistance of the cable?a)20 MΩb)30 MΩc)40 MΩd)10 MΩCorrect answer is option 'D'. Can you explain this answer?
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