# Instrumentation Transducers Questions and Answers – Electrical Networks

This set of Instrumentation Transducers Multiple Choice Questions & Answers (MCQs) focuses on “Electrical Networks”.

1. Electrical network made up of resistor and inductor is a ________________
a) Passive network
b) Active network
c) Low pass filter
d) High pass filter

Explanation: Resistor and Inductor are passive electrical components, and the network made up of passive components can be termed as a passive network.

2. Resistor is a ________________ element.
a) Zero order
b) First order
c) Second order
d) None of the mentioned

Explanation: For a zero order system transfer function will be constant and the resistor can be categorized as zero order system.
R(S) = (V(S))/(I(S)).

3. What is the time constant for a resistor-capacitor network?
a) R
b) C
c) R/C
d) RC

Explanation: For an R-C network, the time constant is the product of resistance and capacitance values.

4. Cascading two first-order system doesn’t result in under-damped second order system.
a) True
b) False

Explanation: When two first order systems are cascaded, it produces second order critically damped or over damped system only.

5. Which of the following has transfer function G(S) = 1/(1+Sτ)?
a) First order low pass filter
b) First order high pass filter
c) Notch filter
d) None of the mentioned

Explanation: Transfer function of a low-pass RC filter can be found as G(S) = 1/(1+SRC). Where time constant τ=RC.
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6. In which of the following categories RLC network can be included?
a) Zero-order system
b) First-order system
c) Second-order system
d) Third-order system

Explanation: Transfer function of RLC circuit is 1/(s2 LC+sRC+1), in which the highest power of ‘S’ is two and system is second-ordered system.

7. For an RC network with R=1KΩ and C=100µF. What will be the time constant of a system?
a) 0.1
b) 1
c) 10
d) 0.01

Explanation: Time constant of an RC network is the product of resistance and capacitance values.

8. What is the Laplace transform of the component inductor?
a) sL
b) L
c) L/s
d) s2L

Explanation: Relation between current flowing and voltage developed across an inductor is given by VL = L(dI(t))/dt and converting into Laplace domain and applying initial conditions to zero, we get
V(s) = L I(s).

9. How we can express Laplace transform of component capacitor?
a) Cs
b) C
c) 1/sC
d) 1/C

Explanation: Relation for a capacitor is given as 1/C ∫0τi(t)dt, converting it to Laplace domain and applying zero initial conditions we get 1/sC.

10. What is the natural frequency of RLC circuit?
a) LC
b) RLC
c) √LC
d) 1/(√LC)

Explanation: Transfer function of RLC circuit is 1/(s2 LC+sRC+1), while general equation of a second order system is1/(s2+2δωn s+ωn2). From the relation, ωn2=1/LC and we obtain natural frequency.

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