The ROC of sequence in the Z.T. of sequence x[n] = an ? [n] is z > a z < a |z| >

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Question
The ROC of sequence in the Z.T. of sequence x[n] = aⁿ ? [n] is
Options
A. z > a
B. z < a
C. |z| > a
D. |z| < a

Correct Answer

|z| > a

Explanation

The simplest method to find the ROC. Put denominator to greater than zero.

Signals and Systems problems

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1. A first order system will never be able to give a __________ response
1. band stop
2. band pass
3. all pass
Choose the correct option
Options
A. 1, 2, 3 true
B. 1 and 3 true, 2 false
C. 1, 2 are true 3 is false
D. 1, 2 are false, 3 is true

2. In Laplace transform, multiplication by e^-at in time domain becomes
Options
A. translation by a in s domain
B. translation by (-a) in s domain
C. multiplication by e^-as in s domain
D. none of the above

4. A box has 4 white and 3 red balls. Two balls are taken out in succession. What is the probability that both are white?
Options
A.
B.
C.
D.

6. The Fourier series of an odd periodic function contains
Options
A. odd harmonics only
B. even harmonics only
C. cosine harmonics only
D. sine harmonics only

7. If transfer function of a system is H(z) = 6 + z^-1 + z^-2 then system is
Options
A. minimun phase
B. maximum phase
C. mixed phase
D. none

9. Assertion (A): If , the initial value of i(t) is 5A
Reason (R): As per initial vaue theroem
Options
A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is true, R is false
D. A is false, R is true

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