Question

The impedance matrices of two, two-port network are given by [3 2; 2 3] and [15 5; 5 25]. The impedance matrix of the resulting two-port network when the two networks are connected in series is ____________

(a) [3 5; 2 25]

(b) [18 7; 7 28]

(c) [15 2; 5 3]

(d) Indeterminate

I got this question in unit test.

I'm obligated to ask this question of Advanced Problems on Application of Laplace Transform topic in chapter Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

The correct option is (b) [18 7; 7 28]

For explanation: Given that two impedance matrices are [3 2; 2 3] and [15 5; 5 25]. Here, the resulting impedance is the sum of the two given impedances.

So resulting impedance = [18 7; 7 28].