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If the voltage across the units in a 2-unit suspension insulator is 60% and 40% respectively, of the line voltage. Determine the ratio of the capacitance of the insulator to that of its capacitance to earth.
  • a)
    2
  • b)
    4
  • c)
    3
  • d)
    6
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the voltage across the units in a 2-unit suspension insulator is 60...
From figure I = I1 I'1
            V2wkc = V1wkc V1wc
V2wkc = V1wc (k 1)
0.6 Vkwc = 0.4 Vwc (k 1)
⇒ K = 2
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Most Upvoted Answer
If the voltage across the units in a 2-unit suspension insulator is 60...
Given: Voltage across unit 1 = 60% of line voltage, Voltage across unit 2 = 40% of line voltage

To find: Ratio of capacitance of insulator to its capacitance to earth

Solution:

Let us assume the capacitance of each unit of the suspension insulator is C.

The voltage across unit 1 is 60% of the line voltage, which means the voltage across unit 2 is 40% of the line voltage.

So, the voltage across unit 1 is 0.6V and the voltage across unit 2 is 0.4V.

The total voltage across the two units is V, which is the line voltage.

So, V = 0.6V + 0.4V = C1/C * V + C2/C * V

=> V = V(C1/C + C2/C)

=> 1 = C1/C + C2/C

=> C = C1 + C2

Now, let us find the capacitance to earth of each unit.

Let the capacitance to earth of each unit be Ce.

The voltage across unit 1 is 0.6V and the voltage across Ce is 0.4V.

So, the capacitance to earth of unit 1 is Ce1 = Ce * 0.4V/V and the capacitance to earth of unit 2 is Ce2 = Ce * 0.6V/V.

The total capacitance to earth of the two units is Cet, which is given by:

Cet = Ce1 + Ce2

=> Cet = Ce * (0.4 + 0.6)

=> Cet = Ce

So, the ratio of capacitance of the insulator to its capacitance to earth is:

(C1 + C2)/Ce = 2C/2Ce = 2/1 = 2

Hence, the correct option is (A) 2.
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If the voltage across the units in a 2-unit suspension insulator is 60% and 40% respectively, of the line voltage. Determine the ratio of the capacitance of the insulator to that of its capacitance to earth.a)2b)4c)3d)6Correct answer is option 'A'. Can you explain this answer?
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