Network Analysis MCQs

Ans. a) 0

Explanation: The value of voltage will also be zero as the current is zero. 

V = C

Ans. c) The charge on each capacitor is the same and the same current flows through each capacitor at a time.

Explanation: When the capacitors are connected in series across DC voltage the charge of each capacitor is the same. But,when the capacitors are connected in parallel across DC voltage the charge of each capacitor is different and the current flows in the given time are also different. It depends on the value of the capacitor.

Ans. c) 40 W 

Explanation: When two identical bulbs are connected in series across a batter, the equivalent power is ‘10W’.

Hence, P_eq= \(\frac{P}{n}\)

10= P/2

P= 20 W

Therefore the power rating of each bulb is 20 W.

Now, When these resistors are connected in parallel, the power dissipated is:

P _eq= 2 x P

P_eq = 40 W

Ans. b) Bilateral Circuit

Explanation: The bilateral circuit allows the circuit to flow in both directions. The circuit properties remain the same even after changing the direction of the voltage or current.

Examples- Resistance, Capacitance, Inductance

Ans. d) Infinite Source Resistance

Explanation: The ideal current source should have infinite source resistance. The infinite resistance is equivalent to zero conductance. Hence, An Ideal current source has zero conductance. The ideal and practical current sources are represented as:

Ideal and Practical Infinite Current Source

Ans. b) Non-Linear time Invariant

Explanation: An element is said to be a time variant if the V-1 graph is varying with time.

Given the V-1 characteristics (v(t) = i²(t))  the graph drawn will not be a straight line. So the graph is nonlinear . 

It is ‘Time invariant’ because in any network analysis we take the circuit parameters as V and I as time variant.

Ans. c) Active and Unilateral

Explanation: The active elements supply energy to the circuit and have an ability to control the flow of charge. It is used for current control and voltage control applications.

Examples- Battery, Voltage, Source, Diode and Current Source

The Unilateral elements allow conduction to flow in one direction.

Examples- Diode, Transistor and Voltage Source

Hence, the constant voltage source is active and unilateral.

Ans d) 1127 K

Explanation: Its given that a = 0.00125 per ^oC

R_300K = 1Ω, i.e.

T = 300 – 273 = 27 ^oC

1 = R₀(1 + a x 27) – (1)

Resistance = 2 for temperature T.

Hence,

2 = R₀(1 + aT) - (2)

(1) \ (2)

(1 + aT) = 2(1 + a x 27)

a (T – 54)= 1

T – 54 = 800

T = 854

T = 854 + 273 = 1127K

Ans. c) Same in each resistance

Explanation: Resistance (R) is the measurement of the flow of electric current through a conductor. There are two combinations of Resistance-

1. Resistance in Series

Series Arrangement refers to the arrangement of resistors in which all the resistors are connected in one line.

• The series arrangement of resistors is implied to improve/increase the total resistance. The voltage across the resistors is different throughout in series circuits.

Resistance formula for series arrangement

2. Resistance in Parallel

Parallel Arrangement refers to the arrangement of resistors in which all the resistors are connected parallel to each other. 

• The current is branches out and combines when branches meet at a common point as shown in the figure. 
• Even if one resistor is disconnected it does not affect the circuit.

Resistance formula in parallel arrangement

Ans. d) 2Ω

Explanation: Its given that R₁ = R₂ = R₃ = 6Ω are connected in parallel.

⇒ \(\frac{1}{R_{eq}} = \frac{1}{6} + \frac{1}{6} + \frac{1}{6}\)

⇒ R_eq = 2Ω