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Electronics and Communication Engineering - Networks Analysis and Synthesis

Exercise : Networks Analysis and Synthesis - Section 5
36.
The function Z(s) has a pole at infinity if
the degree of numerator and denominator of Z(s) are equal
the numerator of Z(s) is one degree higher than denominator
the denominator of Z(s) is one degree higher than numerator
the degree of numerator and denominator are either equal or differ by one
Answer: Option
Explanation:

If numerator is one degree higher than denominator z(s) tends to infinity as s tends to infinity.

37.
An input voltage V(t) = 10 2 cos (t + 10°) + 10 3 cos (2t + 10°)V is applied to a series combination of resistance R = 1 kΩ inductance L = 1H. The resulting steady-state current i(t) in ampere is
10 cos (t + 55°) + 10 cos (2t + 10° tan-12)
10 cos (t + 55°) + 103/2 cos (2t + 55°)
10 cos (t - 35) + 10 cos (2t + 10° - tan-12)
10 cos (t - 35) + 103/2 cos (2t + 35°)
Answer: Option
Explanation:

The steady state current i(t) = i1(t) + i2(t)

Hence ω1, ω2 = 2.

38.
A thermal power plant has an efficiency of 0.4. If 0.6 kg of coal is burnt to generate 1 kWh, the calorific value of coal is
about 3500 kcal/kg
about 2500 kcal/kg
about 1500 kcal/kg
about 7500 kcal/kg
Answer: Option
Explanation:

Therefore, calorific value =

39.
An RC series circuit has R = 20 Ω and XC = 20 Ω. Then Z =
40 Ω
28.28 Ω
20 Ω
1 Ω
Answer: Option
Explanation:

Z = 202 + 202 = 28.28 ohm.

40.
An inductance having XL = 5 Ω and a capacitance having XC = 5 Ω are connected in parallel across 100 V, 50 Hz supply. The current drawn from source is
zero
20 A
40 A
28.28 A
Answer: Option
Explanation:

The total current is

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