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Network Elements and the Concept of Circuit

  1. For the networks shown in the figures (a) and (b) to be duals, it is necessary that R′, L′ and C′ are respectively equal to—


    1. 1
      , C and L
      R
    2. 1
      ,
      1
      and
      1

      RLC
    3. R,
      1
      and C
      L
    4. 1
      , L and
      1

      RC
Correct Option: A

In order to make the dual network. simply replace voltage by current, current by voltage, inductance by capacitance resistance by conductance and capacitance by inductance.
From fig. (a)

V = iR + L
di
+
1
∫ i dt ......(i)
dtC

from fig. (b)
I = V′ G′ + C′
dV
+
1
∫ V´ dt ......(ii)
dtL

On comparing equation (i) and (ii), we get
R = G′
L′ = C
C′ = L



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