The height between the two supports of a transmission and distribution overhead line can be determined as:

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SSC JE Electrical 9 Oct 2023 Shift 3 Official Paper-I
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  1. (Vertical distance between the higher height support point of the conductor and Lowest point of the conductor) - (Vertical distance between the lower height support point of the conductor and lowest point of the conductor) 
  2. \(\frac{1}{2}\) × (Vertical distance between the higher height support point of the conductor and lowest point of the conductor) 
  3. (Vertical distance between the lower height support point of the conductor and Lowest point of the conductor) + (Vertical * distance between the higher height support point of the conductor and lowest point of the conductor) 
  4. \(\frac{1}{2}\) ×( Vertical distance between the lower height support point of the conductor and lowest point of the conductor) 

Answer (Detailed Solution Below)

Option 1 : (Vertical distance between the higher height support point of the conductor and Lowest point of the conductor) - (Vertical distance between the lower height support point of the conductor and lowest point of the conductor) 
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Detailed Solution

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Concept

Sag: It is defined as the vertical distance between two points of support of the transmission towers and the lowest peak point of the conductor. 

qImage657c3b5e3e25b7859df0bf42

The sag in an overhead transmission line is given by:

\(S={WL^2\over 8T}\)

where, S = Sag

W = Weight per unit length of the conductors

L = Length of span

T = Tension of the conductor

Explanation: 

qImage657c3e8cee4f91c3e6fe9edf

From the figure:

The height between the two supports of a transmission and distribution overhead line = Vertical distance between the higher height support point of the conductor and the Lowest point of the conductor - Vertical distance between the lower height support point of the conductor and lowest point of the conductor

\(h=S_2-S_1\)

\(h={Wx_2^2\over 8T}-{Wx_1^2\over 8T}\)

 

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