Exercise: Networks Analysis And Synthesis

Questions for: Networks Analysis And Synthesis

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
A:
zero
B:
20 A
C:
40 A
D:
28.28 A
Answer: A

The total current is

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An RC series circuit has R = 20 Ω and XC = 20 Ω. Then Z =
A:
40 Ω
B:
28.28 Ω
C:
20 Ω
D:
1 Ω
Answer: B

Z = 202 + 202 = 28.28 ohm.

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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
A:
about 3500 kcal/kg
B:
about 2500 kcal/kg
C:
about 1500 kcal/kg
D:
about 7500 kcal/kg
Answer: A

Therefore, calorific value =

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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
A:
10 cos (t + 55°) + 10 cos (2t + 10° tan-12)
B:
10 cos (t + 55°) + 103/2 cos (2t + 55°)
C:
10 cos (t - 35) + 10 cos (2t + 10° - tan-12)
D:
10 cos (t - 35) + 103/2 cos (2t + 35°)
Answer: C

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

Hence ω1, ω2 = 2.

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The function Z(s) has a pole at infinity if
A:
the degree of numerator and denominator of Z(s) are equal
B:
the numerator of Z(s) is one degree higher than denominator
C:
the denominator of Z(s) is one degree higher than numerator
D:
the degree of numerator and denominator are either equal or differ by one
Answer: B

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

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