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Signals and Systems - Section 1 (3)

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  • Signals and Systems - Section 1
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Signals and Systems - Section 1

17. 

δ(t) is a

A. energy signal
B. power signal
C. neither energy nor power
D. none

Answer: Option B

Explanation:

Because Unit step is a Power signal. So By trignometric identifies d(t) also power.

31-237

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18. 

Assertion (A): If 25-425 , the initial value of i(t) is 5A

Reason (R): As per initial vaue theroem

25-425-1

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

Answer: Option A

Explanation:

Initial value theorem when applied to I(s) gives 5 A.

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19. 

A voltage wave having 5% fifth harmonic content is applied to a series RC circuit. The percentage fifth harmonic content in the current wave will be

A. 5%
B. more than 5%
C. less than 5%
D. equal or more than 5%

Answer: Option B

Explanation:

IC = V(jωC).

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20. 

A signal m(t) is multiplied by a sinusoidal waveform of frequency fc such that
v(t)=m(t) cos 2pfct
If Fourier transform of m(t) is M(f), Fourier transform of v(t) will be

A. 0.5 M(f + fc)
B. 0.5 M(f - fc)
C. 0.5 M(f + fc) + 0.5 M(f - fc)
D. 0.5 M(f - fc) + 0.5 M(f - fc)

Answer: Option C

Explanation:

It is a modulation process. The resultant has (f + fc) and (f - fc) terms.

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21. 

If I (s) 05-31 , the final value of i(t) is

A. 5A
B. 12.5 A
C. 0.05 A
D. 1250 A

Answer: Option B

Explanation:

29-31

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22. 

Inverse Fourier transform of sgn (ω) is

A. 17-275-1
B. 1
C. U(t)
D. 17-275-4

Answer: Option A

Explanation:

By duality Property.

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23. 

If 13-166

 
A. - 12
B. 12
C. 20
D. - 20

Answer: Option A

Explanation:

det.|A| = 3(8 - 12) = - 12.

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24. 

The final value theorem is

A. 04-21-1
B. 04-21-2
C. 04-21-3
D. 04-21-4

Answer: Option A

Explanation:

29-7-1

£-1F(s) = f(t)

£[a f1(t) + bf2(t)] = aF1(s) + bF2(s)

29-7-3

29-7-4

29-7-5

where 29-7-6

£[f(t - T)] = e-sT F(s)

£[e-at f(t)] = F(s + a)

Initial value theorem 29-7-7

Final value theroem 29-7-8

Convolution Integral 29-7-9

29-7-10

where t is dummy variable for t.

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