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)=K_{n} e^{(sn t)}

b) i(t)=K_{n} e^{(-sn t)}

c) i(t)=-K_{n} e^{(-sn t)}

d) i(t)=-K_{n} e^{(sn t)}

View Answer

Explanation: The solution of differential equations for networks is of the form

i(t)=K

_{n}e

^{(sn t)}where S

_{n}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

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

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.

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

Explanation: Transform impedance of the resistor is defined as the ratio of transform voltage to the transform current and is expressed as Z

_{R}(s) = V

_{R}(s)/I

_{R}(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

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. Y

_{R}(s) = I

_{R}(s)/V

_{R}(s) =G.

6. The transform impedance of the inductor is?

a) L

b) 1/L

c) sL

d) 1/sL

View Answer

Explanation: Considering the sum of the transform voltage and the initial current voltage as V

_{1}(s) we have the transform impedance of the inductor. The transform impedance of the inductor is Z

_{L}(s) = V

_{1}(s)/I

_{L}(s) = sL.

7. The transform admittance of the inductor is?

a) 1/sL

b) sL

c) 1/L

d) L

View Answer

Explanation: The transform admittance of the inductor is Y

_{L}(s) = I

_{1}(s)/V

_{L}(s) = 1/sL where I

_{1}(s) is the total transform current through the inductor L.

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

Explanation: The time domain representation of inductor L has initial current i

_{L}(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

Explanation: The transform impedance of the capacitor is the ratio of the transform voltage V

_{1}(s) to the transform current I

_{C}(s) and is Z

_{C}(s) = 1/Cs.

10. The transform admittance of the capacitor is?

a) 1/sC

b) sC

c) 1/C

d) C

View Answer

Explanation: The transform admittance of the capacitor is the ratio of transform current I

_{1}(s) to transform voltage V

_{C}(s) and is Y

_{C}(s) = sC.

**Sanfoundry Global Education & Learning Series – Network Theory.**

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