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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—
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1 , C and L R -
1 , 1 and 1 R L C -
R, 1 and C L -
1 , L and 1 R C
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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 | + | ∫ i dt ......(i) | dt | C |
from fig. (b)
I = V′ G′ + C′ | + | ∫ V´ dt ......(ii) | dt | L |
On comparing equation (i) and (ii), we get
R = G′
L′ = C
C′ = L