According to Tellegen’s theorem, which one of the following is correct?

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DFCCIL Executive Electrical 2016 Official Paper
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  1. ∑ power delivered = ∑ power absorbed
  2. ∑ power delivered = K / ∑ power absorbed
  3. ∑ power delivered = 1 / ∑ power absorbed
  4. ∑ power delivered = 2 × ∑ power absorbed

Answer (Detailed Solution Below)

Option 1 : ∑ power delivered = ∑ power absorbed
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Detailed Solution

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Tellegen’s theorem:

  • According to Tellegen’s theorem, the summation of instantaneous powers for the n number of branches in an electrical network is zero.
  • Let n number of branches in an electrical network have I1, I2, I3, ….. In respective instantaneous currents through them.
  • These branches have instantaneous voltages across them are V1, V2, V3, ….. Vn respectively.
  • According to Tellegen’s theorem, \(\mathop \sum \limits_{k = 1}^n {V_k}.{I_k} = 0\)
  • ∑ power delivered = ∑ power absorbed
  • It is based on the conservation of energy.
  • It is applicable to both linear and non-linear circuits.
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