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Network Elements & Solution Methods

16 Questions
GATE→2026→Electric Circuits→Network Elements & Solution Methods
Q1
MCQ[1 Mark]
In a circuit containing D, R, L, C, and V_DC, which option correctly identifies all the linear elements?
GATE→2026→Electric Circuits→Network Elements & Solution Methods
Q2
MCQ[1 Mark]
For the given circuit, determine Thevenin's equivalent parameters V_TH and R_TH between nodes Y and Z.
Figure for Question 2
GATE→2026→Electric Circuits→Network Elements & Solution Methods
Q3
MCQ[1 Mark]
For the four dependent source circuits, which parameter set makes all of them physically realizable?
GATE→2026→Electric Circuits→Network Elements & Solution Methods
Q4
MCQ[2 Marks]
Using V-I table data for a linear network, determine Norton equivalent parameters I_N and R_N.
Figure for Question 4
GATE→2026→Electric Circuits→Network Elements & Solution Methods
Q5
NAT[2 Marks]
For the given two-port network, find the load resistance R_L for maximum power transfer.
Figure for Question 5
GATE→2025→Electric Circuits→Network Elements & Solution Methods
Q6
MCQ[1 Mark]
The I-V characteristics of the element between nodes X and Y (1 A current source in parallel with 1 kΩ resistor) is best depicted by
Figure for Question 6
GATE→2025→Electric Circuits→Network Elements & Solution Methods
Q7
MCQ[1 Mark]
A series combination of a nullator and a resistor of value R will behave as a
GATE→2024→Electric Circuits→Network Elements & Solution Methods
Q8
MCQ[1 Mark]
Determine the number of essential junctions (nodes) in the given circuit diagram.
Figure for Question 8
GATE→2024→Electric Circuits→Network Elements & Solution Methods
Q9
MCQ[1 Mark]
Find the power delivered by the 10 V source in the given circuit.
Figure for Question 9
GATE→2024→Electric Circuits→Network Elements & Solution Methods
Q10
NAT[2 Marks]
Two two-port networks P and Q are cascaded. Given Z_P and Y_Q, find parameter alpha of the overall ABCD matrix.
Figure for Question 10
GATE→2023→Electric Circuits→Network Elements & Solution Methods
Q11
NAT[1 Mark]
For the circuit with V_1 = 8 V and I_1 = 8 A, find the voltage V_ab in volts.
Figure for Question 11
GATE→2023→Electric Circuits→Network Elements & Solution Methods
Q12
NAT[2 Marks]
For the given circuit with i = sin(1000t), find the instantaneous Thevenin equivalent voltage across terminals a-b at t = 5 ms in volts.
Figure for Question 12
GATE→2023→Electric Circuits→Network Elements & Solution Methods
Q13
NAT[2 Marks]
Given y-parameters of a two-port network connected to 20 V source with 3 ohm series resistance at port 1 and R_L = 6 ohm at port 2, find power delivered to R_L in watts.
Figure for Question 13
GATE→2022→Electric Circuits→Network Elements & Solution Methods
Q14
MCQ[1 Mark]
For a 3-phase unbalanced load with Z_A = 10 Ω and Z_B = 20∠60° Ω, find Z_C such that neutral voltage V_{nn'} = 0.
Figure for Question 14
GATE→2022→Electric Circuits→Network Elements & Solution Methods
Q15
NAT[1 Mark]
For two balanced 3-phase loads connected to 100*sqrt(3) V supply with Z1 and Z2, find the ammeter reading in amperes.
Figure for Question 15
GATE→2022→Electric Circuits→Network Elements & Solution Methods
Q16
NAT[2 Marks]
For the circuit with 75 V source, 2 kΩ resistor, 0.5 V_1 dependent source, and 8 kΩ resistor, find the magnitude of voltage V_1 in volts.
Figure for Question 16

Network Theorems & AC/DC Transients

12 Questions
GATE→2026→Electric Circuits→Network Theorems & AC/DC Transients
Q17
MCQ[1 Mark]
Voltage v_s = 325 sin(wt) V and current i = 12 sin(wt) + 9 sin(3wt) A are supplied to a load. Find the power factor.
GATE→2026→Electric Circuits→Network Theorems & AC/DC Transients
Q18
MCQ[2 Marks]
Voltage is v = V_m sin(omega t) and current is i = I_m sin(omega t - theta). What is the average power dissipated over a half cycle?
GATE→2026→Electric Circuits→Network Theorems & AC/DC Transients
Q19
MCQ[2 Marks]
For the RC network with DC sources, find the capacitor voltage at t = 0+, t = 0.50 s, and t = infinity.
Figure for Question 19
GATE→2025→Electric Circuits→Network Theorems & AC/DC Transients
Q20
NAT[2 Marks]
For the RC circuit with 100 V source, 25 ohm resistor, and 5 F capacitor where switch S closes at t = 0, find time to charge capacitor to 50 V.
Figure for Question 20
GATE→2024→Electric Circuits→Network Theorems & AC/DC Transients
Q21
MCQ[1 Mark]
For the circuit with switch S, find the time constant in seconds after S is closed.
Figure for Question 21
GATE→2024→Electric Circuits→Network Theorems & AC/DC Transients
Q22
NAT[2 Marks]
For the circuit with magnetically coupled inductors at omega = 5000 rad/s, find Thevenin's impedance Z_th between terminals P and Q in ohms.
Figure for Question 22
GATE→2024→Electric Circuits→Network Theorems & AC/DC Transients
Q23
NAT[2 Marks]
For the 3-phase two-wattmeter method circuit with loads Z_1 and Z_2 supplied by 400 V source, find the magnitude of the difference between W_1 and W_2 readings in watts.
Figure for Question 23
GATE→2023→Electric Circuits→Network Theorems & AC/DC Transients
Q24
NAT[1 Mark]
For the RLC circuit with switch K opened at t = 0, find the voltage across the inductor V_L at t = 0+ in volts.
Figure for Question 24
GATE→2023→Electric Circuits→Network Theorems & AC/DC Transients
Q25
NAT[2 Marks]
Find the minimum switching time t_1 in milliseconds such that no transient occurs in the 100 uF capacitor voltage upon switching.
Figure for Question 25
GATE→2022→Electric Circuits→Network Theorems & AC/DC Transients
Q26
NAT[1 Mark]
An inductor with Q = 60 is in series with a capacitor with Q = 240. What is the overall Q-factor of the circuit?
Figure for Question 26
GATE→2022→Electric Circuits→Network Theorems & AC/DC Transients
Q27
NAT[1 Mark]
A parallel/series resonant network has f_r = 150 kHz and bandwidth BW = 600 Hz. Find its Q-factor.
Figure for Question 27
GATE→2022→Electric Circuits→Network Theorems & AC/DC Transients
Q28
NAT[1 Mark]
In the circuit with switch S closed at t = 0, find the magnitude of the steady-state voltage across the 6 Ω resistor in volts.
Figure for Question 28