A. Is linear
B. Contains bilateral element
C. Has high impedance
D. In resonant
E. Is non-linear
Choose the correct answer from the options given below :
Understanding 2-Port Network Reciprocity
Reciprocity in a 2-port network means that the ratio of response to excitation remains the same when the positions of excitation and response are interchanged. Specifically, for transfer impedances, this implies that $Z_{12}$ (transfer impedance from port 1 to port 2) must equal $Z_{21}$ (transfer impedance from port 2 to port 1).
- $Z_{12} = \frac{V_2}{I_1}$ (with $I_2 = 0$)
- $Z_{21} = \frac{V_1}{I_2}$ (with $I_1 = 0$)
The condition for reciprocity is $Z_{12} = Z_{21}$.
Conditions for Reciprocity
This property holds true if the network satisfies specific conditions:
- Linearity (A): The network must consist of linear elements. In linear networks, the principle of superposition applies, and parameters are independent of voltage/current levels.
- Bilateral Elements (B): All elements in the network must be bilateral. This means their characteristics do not depend on the direction of current flow. Examples include resistors, capacitors, and inductors. Active or semiconductor devices (like diodes) are often non-bilateral.
Why Other Options Are Incorrect
- High Impedance (C): The magnitude of impedance does not determine reciprocity.
- Resonant (D): Resonance is a specific circuit condition, not a general requirement for reciprocity.
- Non-linear (E): Non-linear networks generally do not exhibit reciprocal behavior as their response is not proportional to the input.
Conclusion
Therefore, the transfer impedances remain constant upon interchange of excitation and response positions only if the 2-port network is Linear (A) and contains only Bilateral elements (B).
The correct combination is A and B only.
Similar Questions
- If $A \in R_{n \times n}$; $\det A=0$, then :
A. A is non singular and the rows and columns of A are linearly independent
B. A is non-singular and the rows and columns of A are linearly dependent
C. A is non-singular and A has one zero rows
D. A is singular
E. A is singular and rows and columns of A are linearly dependent
Choose the correct answer from the options given below : - The matrix equation $AX=0$, represents :
- The greatest rate of increase of $f = xy^{2}z^{3}$ at the point $(0, -1, -2)$ is :
- The derivative of $y = \int_{0}^{\ln x} \sin e^{t} dt$ is :
- If $\lambda = 0$, is an eigen values of A, then $\det(A)$ is :
- If A is a null Matrix, then its rank is :
- Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : If $u = xy f\left(\frac{y}{x}\right)$, then $x \frac{\partial u}{\partial x} + y \frac{\partial u}{\partial y} = 2u$
Reason (R) : Given function u is homogeneous of degree 2 in $x$ and $y$.
In the light of the above statements, choose the most appropriate answer from the options given below : - Solving a second order Differential equation using Laplace transform :
A. Partial fraction expansion
B. Apply initial conditions in Laplace domain
C. Take Laplace transform of differential equation
D. Obtain time domain solution
Choose the correct answer from the options given below : - Determining Eigenvalues of a matrix :
A. Solve the characteristic equation
B. Form matrix $A - \lambda I$
C. Compute determinant
D. Identify eigenvalues
Choose the correct answer from the options given below : - A lag network for compensation normally consists of :
A. R, L and C elements
B. R and L elements
C. R and C elements
D. R only
E. L only
Choose the correct answer from the options given below :
Important Questions from Mixed Topic (CUET PG)
- Kalpsutra, the illustrated canonical text is from:-
- The Harappan city almost exclusively devoted to craft production was-:
- Mohandas Karamchand Gandhi launched quit India movement after the failure of:-
- The "Objectives Resolution" was introduced in constituent assembly by:-
- Who among the following was not a member of the constituent assembly:-
