Norton’s theorem can be applied to ________.

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SSC JE Electrical 16 Nov 2022 Shift 3 Official Paper
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  1. only nonlinear unilateral networks
  2. both linear and nonlinear networks
  3. only nonlinear networks
  4. linear networks

Answer (Detailed Solution Below)

Option 4 : linear networks
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The correct answer is option 4):(linear networks)

Concept:

  • Norton's Theorem states that “Any linear circuit containing several energy sources and resistances can be replaced by a single constant current source in parallel with a single resistor “.
  • In any linear, bidirectional circuit having more than one independent source, having more active and passive elements it can be replaced by a single equivalent current source IN in parallel with an equivalent resistance RN.

F2 Jai 17.11.20 Pallavi D1

Where IN = Norton or short circuit current

RN = Norton's resistance

  • Procedure in order to find Norton’s equivalent circuit, when only the sources of independent type are present.
  • Consider the circuit diagram by opening the terminals with respect to which, Norton’s equivalent circuit is to be found.
  • Find Norton’s current IN by shorting the two opened terminals of the circuit.
  • Find Norton’s resistance RN across the open terminals of the circuit, eliminating the independent sources present in it. Norton’s resistance RN will be the same as that of Thevenin’s resistance RTh.
  • Draw Norton’s equivalent circuit by connecting Norton’s current IN in parallel with Norton’s resistance RN.
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