
Stability of a circuit system
Quiz
•
Mathematics
•
University
•
Practice Problem
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Medium
P.S. Divya
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For a circuit represented by the state equation X=AX, the stability is determined by:
Magnitude of eigenvectors
Sign of eigenvalues
Number of state variables
Determinant of A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If all eigenvalues of the system matrix A have negative real parts, the circuit is:
Stable
Unstable
Marginally stable
Oscillatory unstable
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the eigenvalues of a circuit system are −2±3i, the behavior is:
Purely oscillatory
Marginally stable
Oscillatory growth
Oscillatory decay
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following eigenvalue conditions corresponds to an unstable circuit?
Zero eigenvalues only
All negative real eigenvalues
One positive real eigenvalue
All eigenvalues purely imaginary
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The eigenvector associated with an eigenvalue of the system matrix represents:
The natural frequency
The mode shape of the system
The time constant
The damping factor
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In state-space modeling of a 2nd-order RLC circuit, a large value in one component of the eigenvector suggests:
High oscillation frequency
Faster decay rate
Dominance of that state variable in the mode
Critical damping
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If all eigenvalues are zero, the system is:
Stable
Oscillatory stable
Unstable
Marginally stable
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