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The figure represents the case of transmission line supports at unequal levels. S2 - S1 is directly proportional to:

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MPPGCL JE Electrical 28 April 2023 Shift 1 Official Paper
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  1. \(\frac{\mathrm{x}_{2}}{\mathrm{x}_{1}}\)
  2. (x2 - x1)
  3. \(\frac{\mathrm{x}_{1}}{\mathrm{x}_{2}}\)
  4. x1x2

Answer (Detailed Solution Below)

Option 2 : (x2 - x1)
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Detailed Solution

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Concept

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

Sag for unequal tower length:

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\(h=S_2-S_1\)

\(h={WL_2^2\over 8T}-{WL_1^2\over 8T}\)

\(h={W\over 8T}(L_2^2-L_1^2)\)

\(h={W\over 8T}(x_2^2-x_1^2)\)

\(h={W\over 8T}(x_2-x_1)(x_2+x_1)\)

∴ (S2 - S1) α  (x2 - x1)

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