Topic: Network Theory
For a network shown in figure, which of the following statement is true. (Circuit has dependent current source $\beta I_1$)
- A. Reciprocal and symmetric
- B. Reciprocal but not-symmetric
- C. Symmetric but non-reciprocal
- D. Neither symmetric nor reciprocal
Answer: D. Neither symmetric nor reciprocal
Explanation: A network is reciprocal if it contains only passive components (resistors, capacitors, inductors). The presence of a controlled source (dependent source) $\beta I_1$ inherently makes the network non-reciprocal. Furthermore, based on the asymmetrical placement of components and the directionality introduced by the dependent source, the network is not structurally symmetric. Therefore, it is neither symmetric nor reciprocal.