Network Theory Questions and Answers – The Concept of Complex Frequency

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “The Concept of Complex Frequency”.

1. The solution of differential equations for networks is of the form?
a) i(t)=Kn e⁡(sn t)
b) i(t)=Kn e⁡(-sn t)
c) i(t)=-Kn e⁡(-sn t)
d) i(t)=-Kn e⁡(sn t)
View Answer

Answer: a
Explanation: The solution of differential equations for networks is of the form
i(t)=Kn e⁡(sn t) where Sn is a complex number which is a root of the characteristic equation.

2. The real part of the complex frequency is called?
a) radian frequency
b) neper frequency
c) sampling frequency
d) angular frequency
View Answer

Answer: b
Explanation: The complex number consists of two parts, the real part and the imaginary part. The real part of the complex frequency is called neper frequency.

3. The imaginary part of the complex frequency is called?
a) angular frequency
b) sampling frequency
c) neper frequency
d) radian frequency
View Answer

Answer: d
Explanation: The complex number consists of two parts, the real part of the complex frequency is called radian frequency. The radian frequency is expressed in radian/sec and is related to the frequency or the periodic time.
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4. The ratio of transform voltage to the transform current is defined as _________ of the resistor.
a) transform voltage
b) transform current
c) transform impedance
d) transform admittance
View Answer

Answer: c
Explanation: Transform impedance of the resistor is defined as the ratio of transform voltage to the transform current and is expressed as ZR(s) = VR(s)/IR(s) = R.

5. The ratio of transform current to the transform voltage is defined as ________ of the resistor.
a) transform admittance
b) transform impedance
c) transform current
d) transform voltage
View Answer

Answer: a
Explanation: Transform admittance of the resistor is defined as the ratio of transform current to the transform voltage and it is also defined as the reciprocal of transform impedance. YR(s) = IR(s)/VR(s) = G.

6. The transform impedance of the inductor is?
a) L
b) 1/L
c) sL
d) 1/sL
View Answer

Answer: c
Explanation: Considering the sum of the transform voltage and the initial current voltage as V1(s) we have the transform impedance of the inductor. The transform impedance of the inductor is ZL(s) = V1(s)/IL(s) = sL.

7. The transform admittance of the inductor is?
a) 1/sL
b) sL
c) 1/L
d) L
View Answer

Answer: a
Explanation: The transform admittance of the inductor is YL(s) = I1(s)/VL(s) = 1/sL where I1(s) is the total transform current through the inductor L.
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8. The equivalent transform circuit contains an admittance of value ____ and equivalent transform current source.
a) 1/L
b) 1/sL
c) L
d) sL
View Answer

Answer: b
Explanation: The time domain representation of inductor L has initial current iL(0+). The equivalent transform circuit contains an admittance of value 1/sL and equivalent transform current source.

9. The transform impedance of the capacitor is?
a) C
b) 1/C
c) sC
d) 1/sC
View Answer

Answer: d
Explanation: The transform impedance of the capacitor is the ratio of the transform voltage V1(s) to the transform current IC(s) and is ZC(s) = 1/Cs.
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10. The transform admittance of the capacitor is?
a) 1/sC
b) sC
c) 1/C
d) C
View Answer

Answer: b
Explanation: The transform admittance of the capacitor is the ratio of transform current I1(s) to transform voltage VC(s) and is YC(s) = sC.

Sanfoundry Global Education & Learning Series – Network Theory.

To practice all areas of Network Theory, here is complete set of 1000+ Multiple Choice Questions and Answers.

If you find a mistake in question / option / answer, kindly take a screenshot and email to [email protected]

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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