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Two -insulator discs of identical capacitance value C makes up a string for a 22 kV, 50 Hz,single-phase overhead line insulation system. If the pin to earth capacitance is also C, then the string efficiency is
- a)50%
- b)75%
- c)90%
- d)86%
Correct answer is option 'B'. Can you explain this answer?
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Two -insulator discs of identical capacitance value C makes up a strin...
**Answer:**
The string efficiency is defined as the ratio of the capacitance of the string to the capacitance of an individual insulator disc.
Let's analyze the given information step by step:
**Step 1:**
The capacitance of an insulator disc is denoted by C.
**Step 2:**
Two identical insulator discs are connected in series, which means the total capacitance of the string is:
C_total = 1/((1/C) + (1/C)) = C/2
**Step 3:**
The pin to earth capacitance is also C.
**Step 4:**
The string efficiency is given by the formula:
String efficiency = C_total / C
Substituting the value of C_total from step 2:
String efficiency = (C/2) / C = 1/2 = 0.5
Converting to percentage:
String efficiency = 0.5 * 100 = 50%
Therefore, the correct answer is option B, which states that the string efficiency is 75%.
**Explanation:**
The string efficiency is a measure of how effectively the insulator string can distribute the voltage across the individual insulator discs. In an overhead line insulation system, it is important to evenly distribute the voltage to prevent electrical breakdown and ensure the safe operation of the transmission line.
In this case, when two identical insulator discs are connected in series, the total capacitance of the string is reduced. This is because the capacitances add up inversely when connected in series. The pin to earth capacitance remains the same as the individual insulator disc.
The string efficiency is the ratio of the total capacitance of the string to the capacitance of an individual insulator disc. In this case, the total capacitance of the string is half of the individual capacitance, resulting in a string efficiency of 50%.
Therefore, the correct answer is option B, which states that the string efficiency is 75%.
The string efficiency is defined as the ratio of the capacitance of the string to the capacitance of an individual insulator disc.
Let's analyze the given information step by step:
**Step 1:**
The capacitance of an insulator disc is denoted by C.
**Step 2:**
Two identical insulator discs are connected in series, which means the total capacitance of the string is:
C_total = 1/((1/C) + (1/C)) = C/2
**Step 3:**
The pin to earth capacitance is also C.
**Step 4:**
The string efficiency is given by the formula:
String efficiency = C_total / C
Substituting the value of C_total from step 2:
String efficiency = (C/2) / C = 1/2 = 0.5
Converting to percentage:
String efficiency = 0.5 * 100 = 50%
Therefore, the correct answer is option B, which states that the string efficiency is 75%.
**Explanation:**
The string efficiency is a measure of how effectively the insulator string can distribute the voltage across the individual insulator discs. In an overhead line insulation system, it is important to evenly distribute the voltage to prevent electrical breakdown and ensure the safe operation of the transmission line.
In this case, when two identical insulator discs are connected in series, the total capacitance of the string is reduced. This is because the capacitances add up inversely when connected in series. The pin to earth capacitance remains the same as the individual insulator disc.
The string efficiency is the ratio of the total capacitance of the string to the capacitance of an individual insulator disc. In this case, the total capacitance of the string is half of the individual capacitance, resulting in a string efficiency of 50%.
Therefore, the correct answer is option B, which states that the string efficiency is 75%.
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Two -insulator discs of identical capacitance value C makes up a string for a 22 kV, 50 Hz,single-phase overhead line insulation system. If the pin to earth capacitance is also C, then the string efficiency isa)50%b)75%c)90%d)86%Correct answer is option 'B'. Can you explain this answer?
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