Math Problem Statement

A suspension insulator has three units in the string. The capacitance between each insulator and the ground is 25% of the capacitance between the metal parts of two adjacent insulators. If the voltage across the string is 66 kV, calculate the capacitance of the string and the voltage across each insulator.

Solution

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Math Problem Analysis

Mathematical Concepts

Capacitance
Voltage Division
Electrical Circuits

Formulas

C_g = 0.25 C
V_total = V_1 + V_2 + V_3
Voltage Division Formula: V_i = (V_total * Capacitance fraction) / Total Capacitance

Theorems

Voltage Division Rule
Capacitance in Series and Parallel

Suitable Grade Level

Undergraduate Electrical Engineering