# Two  infinitely  long wires carrying current are as shown  in  the  figure below. One wire  is  in the y-z plane and parallel  to  the y-axis. The other wise  is  in  the x-y plane and parallel  to the x-axis. Which components of the resulting magnetic field are non-zero at the origin

1.  x, y, z components

2.  x, y components

3.  y, z components

4.  x, z components

4

x, z components

Explanation :
No Explanation available for this question

# For  the  circuit  shown  in  the  following  figure,  I0  -  I3  are  inputs  to  the  4  :  1 multiplexer. R (MSB) and S are control bits. The output Z can be represented by

1.

2.

3.

4.

4 Explanation :
No Explanation available for this question

# Consider  two  independent  random  variables  X  and  Y  with  identical  distributions.  The variables X and Y  take values 0, 1 and 2 with probabilities 1/2, 1/4 and 1/4  respectively. What is the conditional probability P(X + Y = 2 | X - Y = 0)

1.  0

2.  1/16

3.  1/6

4.  1

4

1/6

Explanation :
No Explanation available for this question

# The Taylor series expansion of (sin x)/(x - π) at x = π is given by

1.  1 + (x - π)2/3! + .....

2.  - 1 - (x - π)2/3! + .....

3.  1 - (x - π)2/3! + .....

4.  - 1 + (x - π)2/3! + .....

4

- 1 + (x - π)2/3! + .....

Explanation :
No Explanation available for this question

# {x(n)}  is  a  real-valued  periodic  sequence  with  a  period  N.  x(n)  and  X(k)  form  N-point Discrete Fourier Transform (DFT) pairs. The DFT Y(k) of the sequence

1.  |X(k)|2

2.

3.  2

4.  0

4

|X(k)|2

Explanation :
No Explanation available for this question

# If  a  vector  field    is  related  to  another  vector  field     through   =   ,  which  of  the following  is  true  Note:  C  and  SC  refer  to  any  closed  contour  and  any  surface  whose boundary is C.

1.

2.

3.

4.

4 Explanation :
No Explanation available for this question

# Group I lists a set of four transfer functions. Group II gives a list of possible step responses y(t). Match the step responses with the corresponding transfer functions. Group I P = 25/(s2 + 25) Q = 36/(s2 + 20s + 36) R = 36/(s2 + 12s + 36) S = 49/(s2 + 7s + 49) Group II

1.  P - 3, Q - 1, R - 4, S - 2

2.  P - 3, Q - 2, R - 4, S - 1

3.  P - 2, Q - 1, R - 4, S - 3

4.  P - 3, Q - 4, R - 1, S – 2

4

P - 3, Q - 4, R - 1, S – 2

Explanation :
No Explanation available for this question

# Given  that  F(s)  is  the  one-sided  Laplace  transform  of  f(t),  the  Laplace  transform  of  is

1.  s F(s) - f(0)

2.  (1/s)F(s)

3.

4.  (1/s)[F(s) - f(0)]

4

(1/s)F(s)

Explanation :
No Explanation available for this question

# A certain system has transfer function G(s) = (s + 8)/(s2 + αs - 4), where α is a parameter.Consider the standard negative unity feedback configuration as shown below Which of the following statements is true

1.  The closed loop systems is never stable for any value of α

2.  For some positive values of  α, the closed loop system is stable, but not for all positive values

3.  For all positive values of α, the closed loop system is stable.

4.  The closed loop system stable for all values of α, both positive and negative

4

For all positive values of α, the closed loop system is stable.

Explanation :
No Explanation available for this question

# Match each differential equation in Group I to its family of solution curves from Group II

1.  P-2, Q-3, R-3, S-1

2.  P-1, Q-3, R-2, S-1

3.  P-2, Q-1, R-3, S-3

4.  P-3, Q-2, R-1, S-2

4