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8. Each of the three insulators forming a string has a self-capacitance of [tex]C[/tex] farads. The shunt capacitance of each insulator is [tex]0.2C[/tex] to earth and [tex]0.1C[/tex] to the line. A guard ring increases the capacitance to the line of the metal work of the lowest insulator to [tex]0.3C[/tex].

Calculate the string efficiency of the arrangement:

(i) With the guard ring.
(ii) Without the guard ring.

Answer :

By substituting the given values in the formula, we can calculate the string efficiency with and without the guard ring: 10.95% and 86.13% respectively.

With the guard ring: Total capacitance = 3C + 3(0.2C + 0.1C) + 0.3C
= 3C + 0.6C + 0.3C + 0.3C
= 4.2C
String efficiency = (Total capacitance without guard ring - Total capacitance with guard ring) / Total capacitance without guard ring * 100

Without the guard ring: Total capacitance without guard ring = 3C + 3(0.2C + 0.1C)
= 3C + 0.6C + 0.3C
= 3.9C
The string efficiency without the guard ring can be calculated using the same formula.
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