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Stability of a circuit system

Authored by P.S. Divya

Mathematics

University

Used 1+ times

Stability of a circuit system
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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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