In a minimum function the degree of numerator and denominator are equal the degr

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Question
In a minimum function
Options
A. the degree of numerator and denominator are equal
B. the degree of numerator and denominator are unequal
C. the degree of numerator is one more than degree of denominator
D. the degree of numerator is one less than degree of denominator

Correct Answer

the degree of numerator and denominator are equal

Explanation

If degrees of numerator and denominator were unequal, a pole or zero can be removed. Such a function cannot be a minimum function. Therefore degrees of numerator and denominator must be equal.

Networks Analysis and Synthesis problems

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1. Which of the following pairs are correctly matched?
1. Brune's realisation : realisation with ideal transformer.
2. Cauer realisation : ladder realisation.
3. Bott Duffin realisation : with non ideal transformer.
Select the answer using the following codes:
Options
A. 1, 2 and 3
B. 2 and 3
C. 1 and 3
D. 1 and 2

Discuss

3. In the circuit shown in given figure, the values of i(0⁺) and I(?), will be respectively
Options
A. zero and 1.5 A
B. 1.5 A and 3 A
C. 3 A and zero
D. 3 A and 1.5 A

Discuss

4. The circuit in figure will act as ideal current source with respect to terminals A and B when frequency is
Options
A. 0
B. 1 rad/sec
C. 4 rad/sec
D. 16 rad/sec

Discuss

6. An RLC series circuit is underdamped. To make it overdamped, the value of R
Options
A. has to be increased
B. has to be decreased
C. has to be increased to infinity
D. has to be reduced to zero

Discuss

7. A sinusoidal voltage has peak to peak value of 100 V. The rms value is
Options
A. 50 V
B. 70.7 V
C. 35.35 V
D. 141.41 V

Discuss

8. A series RC circuit has R = 5 ? and C = 10 ?F. The current in the circuit is 5 sin 20000t. The applied voltage is
Options
A. 252 sin (20000t + 45�)
B. 252 sin (20000t - 45�)
C. 252 sin 20000t
D. 252 sin (20000t - 90�)

Discuss

9. A 3 phase balanced supply feeds 3 phase unbalanced load. Power supplied to the load can be measured by using
1. 2 wattmeter
2. one wattmeter
3. 3 wattmeter
Which of the above statements is correct?
Options
A. 1 and 2
B. 1 and 3
C. 2 and 3
D. 3 alone