A plane wave of wavelength λ is traveling in a direction making an angle 30^{0} with positive x − axis and 90^{0} with positive y − axis. The field of the plane
wave can be represented as (E is constant)

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option A**

**Explaination / Solution: **

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The state variable description of an LTI system is given by**A. **

**B. **

**C. **

**D. **

**Answer : ****Option D**

**Explaination / Solution: **

where y is the output and u is the input. The system is controllable for

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A discrete system is represented by the difference equation

**A. ** 1 ± j0

**B. ** −1 ± j0

**C. ** ±1 + j0

**D. ** 0 ± j1

**Answer : ****Option A**

**Explaination / Solution: **

from the given difference equation,

It has initial condition X_{1}(0) = 1; X_{2}(0) = 0. The pole location of the system for a = 1, are

from the given difference equation,

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Consider the function ݂f(z) = z + z^{*} where z is a complex variable and z^{*} denotes its complex
conjugate. Which one of the following is TRUE?

**A. ** f(z) is both continuous and analytic

**B. ** f(z) is continuous but not analytic

**C. ** f(z) is not continuous but is analytic

**D. ** f(z) is neither continuous nor analytic

**Answer : ****Option B**

**Explaination / Solution: **

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x(t)is a positive rectangular pulse from t = −1 to t = +1 with unit height as shown in the figure. The value of { where X(ω) is the Fourier transform of x(t)} is

**A. ** 2

**B. ** 2π

**C. ** 4

**D. ** 4π

**Answer : ****Option D**

**Explaination / Solution: **

No Explaination.

No Explaination.

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A Hilbert transformer is a

**A. ** non-linear system

**B. ** non-causal system

**C. ** time-varying system

**D. ** low-pass system

**Answer : ****Option A**

**Explaination / Solution: **

No Explaination.

No Explaination.

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A discrete time linear shift - invariant system has an impulse response h[n] with h[0] = 1,h[1] =- 1,h[2] = 2, and zero otherwise The system is given an input sequence x[n] with x[0] = x[2] = 1, and zero otherwise. The number of nonzero samples in the output sequence y[n], and the value of y[2] are respectively

**A. ** 5, 2

**B. ** 6, 2

**C. ** 6, 1

**D. ** 5, 3

**Answer : ****Option D**

**Explaination / Solution: **

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Consider a single input single output discrete-time system with x[n] as input and y[n] as output, where the two are related as

Which one of the following statements is true about the system?

For an input-output relation if the present output depends on present and past input values then the given system is “Causal”.

For the given relation,

For n ranging from 0 to 10 present output depends on present input only.

At all other points present output depends on present and past input values.

Thus the system is “Causal”.

Stability

If x[n] is bounded for the given finite range of n i.e. 0 ≤ n ≤ 10 y[n] is also bounded.

Similarly x[n] - x[n-1] is also bounded at all other values of n

Thus the system is “stable”.

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Which one of the following is an eigen function of the class of all continuous-time, linear, time-invariant systems u(t) denotes the unit-step function)?

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option C**

**Explaination / Solution: **

No Explaination.

No Explaination.

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A three – bus network is shown in the figure below indicating the p.u. impedances of each element.

The bus admittance matrix, Y – bus, of the network is

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