A transmission line between two level conductors has a cross-sectional area of 2 cm2. What is the tension experienced by the line with a safety factor of 4 if the breaking stress is 4000 kg/cm2?

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MPPGCL JE Electrical 28 April 2023 Shift 3 Official Paper
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  1. 4000 kg
  2. 2000 kg
  3. 16000 kg
  4. 8000 kg

Answer (Detailed Solution Below)

Option 2 : 2000 kg
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Detailed Solution

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Concept

The breaking force is given by:

\(F_b=σ_b\times A\)

The tension experienced by the line is given by:

\(T={F_b\over SF}\)

where, Fb = Breaking force

σb = Breaking stress

A = Cross-sectional area

SF = Safety factor

Calculation

Given, σb = 4000 kg/cm2

A = 2 cm2

\(F_b=4000\times2=8000 \space kg\)

\(T={8000\over 4}\)

T = 2000 kg

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