Question

For a 2 port network, the transmission parameters are given as 10, 9, 11 and 10 corresponds to A, B, C and D. The correct statement among the following is?

(a) Network satisfies both reciprocity and symmetry

(b) Network satisfies only reciprocity

(c) Network satisfies only symmetry

(d) Network satisfies neither reciprocity nor symmetry

The question was posed to me in unit test.

My question is taken from Series-Series Connection of Two Port Network topic in chapter Two-Port Networks of Network Theory

Answer 1

Right answer is (a) Network satisfies both reciprocity and symmetry

For explanation: Here, A = 10, B = 9, C = 11, D = 10

∴ A = D

∴ Condition for symmetry is satisfied.

Also, AD – BC = (10) (10) – (9) (11)

= 100 – 99 = 1

Therefore the condition of reciprocity is satisfied.