250+ TOP MCQs on The Concept of Complex Frequency and Answers

Network Theory Multiple Choice Questions on “The Concept of Complex Frequency”.

1. The solution of differential equations for networks is of the form?
A. i(t)=K_n e^{⁡(s_n t)}
B. i(t)=K_n e⁡^{(-s_n t)}
C. i(t)=-K_n e⁡^{(-s_n t)}
D. i(t)=-K_n e⁡^{(s_n t)}
Answer: A
Clarification: The solution of differential equations for networks is of the form
i(t)=K_n e^{⁡(s_n 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
Answer: B
Clarification: 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
Answer: D
Clarification: 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
Answer: C
Clarification: 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
Answer: A
Clarification: 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
Answer: C
Clarification: 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 Z_L(s) = V₁(s)/I_L(s) = sL.

7. The transform admittance of the inductor is?
A. 1/sL
B. sL
C. 1/L
D. L
Answer: A
Clarification: The transform admittance of the inductor is Y_L(s) = I₁(s)/V_L(s) = 1/sL where I₁(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
Answer: B
Clarification: 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
Answer: D
Clarification: The transform impedance of the capacitor is the ratio of the transform voltage V₁(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
Answer: B
Clarification: The transform admittance of the capacitor is the ratio of transform current I₁(s) to transform voltage V_C(s) and is Y_C(s) = sC.