Matrix Network Analysis MCQs

Practice Matrix Network Analysis MCQs with four options, answers and explanations for focused Electronics & Telecommunication Engineering revision.

Question 1

Network TheoryMatrix Network Analysis

In a passive reciprocal resistive network, the nodal admittance matrix is typically?

ASkew-symmetric
BSymmetric
CAlways diagonal
DSingular after choosing a reference node in every case

Show AnswerHide Answer Report an error

Correct Answer: B. Symmetric

Explanation: For a reciprocal resistive network, mutual admittance terms satisfy symmetry, so the reduced nodal admittance matrix is symmetric.

Reference: Standard network theory: reciprocal nodal matrix

Question 2

Network TheoryMatrix Network Analysis

In a nodal admittance matrix, a diagonal element Yii is generally formed from?

AThe negative sum of all conductances incident at node i
BThe sum of conductances connected to node i
COnly the largest branch resistance
DThe product of all branch impedances

Show AnswerHide Answer Report an error

Correct Answer: B. The sum of conductances connected to node i

Explanation: The diagonal entry is the sum of admittances incident on the corresponding node under the standard nodal formulation.

Reference: Standard network theory: nodal matrix diagonal

Question 3

Network TheoryMatrix Network Analysis

For two distinct nodes i and j directly connected by admittance y, the off-diagonal nodal-matrix entries Yij and Yji are normally?

A+y
B+2y
C-y
D1/y

Show AnswerHide Answer Report an error

Correct Answer: C. -y

Explanation: Under the standard nodal convention, a branch admittance between two non-reference nodes contributes -y to the corresponding off-diagonal entries.

Reference: Standard network theory: nodal matrix off-diagonal

Question 4

Network TheoryMatrix Network Analysis

A two-node reduced nodal matrix is [[5,-2],[-2,4]] siemens. If the injected-current vector is [6,2] A, which equations are correct?

A5V1-2V2=6 and -2V1+4V2=2
B5V1+2V2=6 and 2V1+4V2=2
C5V1-2V2=2 and -2V1+4V2=6
DV1+V2=8 only

Show AnswerHide Answer Report an error

Correct Answer: A. 5V1-2V2=6 and -2V1+4V2=2

Explanation: Direct multiplication of YV=I gives 5V1-2V2=6 and -2V1+4V2=2.

Reference: Standard network theory: nodal matrix numerical

Question 5

Network TheoryMatrix Network Analysis

For the equations 5V1-2V2=6 and -2V1+4V2=2, the node voltage V1 is?

A1.00 V
B1.75 V
C2.25 V
D3.50 V

Show AnswerHide Answer Report an error

Correct Answer: B. 1.75 V

Explanation: Solving simultaneously: the second equation gives V1=2V2-1. Substitution yields V2=1.375 V, hence V1=1.75 V.

Reference: Standard network theory: nodal matrix solution numerical

Question 6

Network TheoryMatrix Network Analysis

For a network with node-voltage vector V and nodal admittance matrix Y, the standard matrix equation is?

AYV=I
BYI=V
CVY=I squared
DY+V=I

Show AnswerHide Answer Report an error

Correct Answer: A. YV=I

Explanation: Nodal analysis in matrix form is YV=I, where I is the vector of externally injected node currents.

Reference: Standard network theory: nodal admittance matrix