GATE EC Electronic Devices Previous Year Questions

60 solved GATE EC questions on Electronic Devices, drawn from 9 exam years and grouped by year. Every question shows the official answer and a step-by-step solution.

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Electronic Devices: identify the region before applying the model

Determine the operating region of each device before writing its current-voltage relationship. These selected foundations connect semiconductor physics, diode characteristics, BJT modes, and MOSFET regions. The original exercises use ideal device models for learning, not fabrication guidance.

Our study notes and original examples support the PYQs below; they are not official exam questions or a replacement for the current syllabus.

Before you start

  • Energy, charge, current direction conventions, and Kirchhoff's laws.
  • Exponential functions, logarithms, and basic electrostatics concepts.

Concepts to revise before solving

Intrinsic semiconductors and doping

In an intrinsic semiconductor, electron and hole concentrations are equal at ni. Doping with donors (n-type) increases electron concentration; doping with acceptors (p-type) increases hole concentration. The mass-action law np = ni² applies in thermal equilibrium, not under injection.

Check yourself: Are you applying the mass-action law under equilibrium conditions?

PN junction and diode characteristics

Under forward bias, the junction barrier decreases and current increases exponentially: I = Is(exp(V/(nVT)) − 1). Under reverse bias, current is approximately −Is until breakdown. The depletion width increases with reverse bias. The built-in potential depends on doping concentrations and temperature.

Check yourself: Is the diode forward biased, reverse biased, or in breakdown?

BJT operating regions

An NPN BJT is in active mode when the base-emitter junction is forward biased and the base-collector junction is reverse biased. In active mode, Ic ≈ βIb. In saturation, both junctions are forward biased and Vce,sat is small. Cutoff has both junctions off. Check voltages at all three terminals.

Check yourself: Which junctions are forward biased and which are reverse biased?

MOSFET regions

An enhancement NMOS turns on when Vgs > Vth. In the triode (linear) region, Vds < Vgs − Vth and Id = μnCox(W/L)[(Vgs − Vth)Vds − Vds²/2]. In saturation, Vds ≥ Vgs − Vth and Id = μnCox(W/L)(Vgs − Vth)²/2 without channel-length modulation. The threshold voltage is a device parameter, not a circuit variable.

Check yourself: Is Vds above or below (Vgs − Vth) for this bias point?

Device capacitances and switching

Junction capacitance depends on depletion width and varies with bias voltage. Gate capacitance in a MOSFET is approximately CoxWL in strong inversion. Switching speed depends on how quickly these capacitances charge and discharge through circuit resistances. Small-signal capacitance models apply near a specific bias point.

Check yourself: Are capacitance values evaluated at the correct operating point?

Mistakes to avoid

Applying the active-mode current gain formula when the BJT is saturated.
In saturation, Ic < βIb; determine Vce first, then verify the region.
Using the saturation-region MOSFET equation when Vds is below Vgs − Vth.
Check Vds against the overdrive voltage to determine triode versus saturation.
Assuming doping does not affect built-in potential.
Built-in potential is (kT/q)ln(NaNd/ni²); higher doping increases it.

Original teaching example · not a PYQ

Work through the reasoning

Original mini-example: an enhancement NMOS has Vth = 1 V and μnCox(W/L) = 2 mA/V². With Vgs = 3 V and Vds = 1 V, neglecting channel-length modulation, find Id and the operating region.

  1. Check for conduction: Vgs − Vth = 3 − 1 = 2 V > 0, so the device is on.
  2. Compare Vds with overdrive: Vds = 1 V < 2 V = Vgs − Vth, so the MOSFET is in the triode region.
  3. Apply the triode equation: Id = 2 × [(2)(1) − (1)²/2] = 2 × 1.5 = 3 mA.
  4. Cross-check: if we mistakenly used the saturation equation, Id = 2 × (2)²/2 = 4 mA, which would be incorrect for this region.

Triode region; Id = 3 mA.

Try it before reading the answer

An NPN BJT has β = 100 and is biased with Ib = 20 μA. The collector circuit limits Ic to 1.5 mA. What is the operating region, and what is Ic?

Show answer and reasoning

Saturation; Ic = 1.5 mA.

Active mode would give Ic = βIb = 100 × 0.02 = 2 mA, but the circuit limits it to 1.5 mA. Since Ic < βIb, the BJT must be in saturation. The actual Ic is the circuit-limited 1.5 mA.

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Supplemental reading, not an official GATE reading list or an endorsement of these notes.

Apply this to the previous-year questions

Previous-year questions by year

This page shows 60 recent questions from the released archive, newest first. For older questions and complete papers, browse all GATE EC papers. Questions can carry more than one subject tag; counts are not marks weightage.

GATE EC 20267 questions

  1. Set 1 Q14Consider carrier transport in a Zener diode in the breakdown region. Which is the dominant transport mechanism for current flow in this case?MCQ · +1 marks · Easy
  2. Set 1 Q18Consider the circuit shown in the Figure with Vi=3 VV_i = 3\text{ V} and VCC=12 VV_{CC} = 12\text{ V}. Assume VBE=0.7 VV_{BE} = 0.7\text{ V} and βdc=99\beta_{dc} = 99 for the BJT.…MCQ · +1 marks · Medium
  3. Set 1 Q25Consider a p-n junction diode when it is forward biased with 2 V. Which of the following is/are the correct magnitude(s) of the energy difference between quasi…MSQ · +1 marks · Medium
  4. Set 1 Q29Figure shows the output characteristics of two different Bipolar Junction Transistors (BJT), BJT 1 with magnitude of Early voltage VA1|V_{A1}|, and BJT 2 with…MSQ · +1 marks · Medium
  5. Set 1 Q54Consider an LED based on a direct bandgap semiconductor material with energy bandgap 1.31.3 eV. Given: Plank’s constant, h=6.63×1034h = 6.63 \times 10^{-34} J s and…MSQ · +2 marks · Medium
  6. Set 1 Q60An nn-channel MOSFET is connected as shown in the Figure. Assume VTH=1 VV_{TH} = 1\text{ V}, VDD=5 VV_{DD} = 5\text{ V}, and…NAT · +2 marks · Medium
  7. Set 1 Q64Consider that the concentration of electrons in a semiconductor bar varies linearly from 2×1017 cm32 \times 10^{17} \text{ cm}^{-3} at x=1μmx = 1 \mu\text{m} to…NAT · +2 marks · Medium

GATE EC 20255 questions

  1. Set 1 Q31Which of the following can be used as an n-type dopant for silicon? Select the correct option(s).MSQ · +1 marks · Easy
  2. Set 1 Q46The intrinsic carrier concentration of a semiconductor is 2.5×1016 /m32.5 \times 10^{16} \text{ /m}^3 at 300 K. If the electron and hole mobilities are…MCQ · +2 marks · Easy
  3. Set 1 Q47In the circuit shown, the identical transistors Q1Q_1 and Q2Q_2 are biased in the active region with β=120\beta = 120. The Zener diode is in the breakdown region…MCQ · +2 marks · Medium
  4. Set 1 Q48The electron mobility μn\mu_n in a non-degenerate germanium semiconductor at 300 K300\text{ K} is 0.38 m2/Vs0.38\text{ m}^2/\text{Vs}. The electron diffusivity DnD_n at…MCQ · +2 marks · Medium
  5. Set 1 Q63An ideal p-n junction germanium diode has a reverse saturation current of 10μA10 \mu A at 300K300 K. The voltage (in Volts, rounded off to two decimal places) to…NAT · +2 marks · Easy

GATE EC 20247 questions

  1. Set 1 Q22For non-degenerately doped n-type silicon, which one of the following plots represents the temperature (TT) dependence of free electron concentration (nn)?MCQ · +1 marks · Easy
  2. Set 1 Q26The free electron concentration profile n(x)n(x) in a doped semiconductor at equilibrium is shown in the figure, where the points A, B, and C mark three…MSQ · +1 marks · Medium
  3. Set 1 Q35As shown in the circuit, the initial voltage across the capacitor is 10 V, with the switch being open. The switch is then closed at t=0t = 0. The total energy…NAT · +1 marks · Hard
  4. Set 1 Q61Consider a MOS capacitor made with p-type silicon. It has an oxide thickness of 100 nm, a fixed positive oxide charge of 108 C/cm210^{-8} \text{ C/cm}^2 at the…NAT · +2 marks · Medium
  5. Set 1 Q63A non-degenerate n-type semiconductor has 5 % neutral dopant atoms. Its Fermi level is located at 0.25 eV below the conduction band (ECE_C) and the donor…NAT · +2 marks · Hard
  6. Set 1 Q64An NMOS transistor operating in the linear region has IDSI_{DS} of 5μA5 \mu A at VDSV_{DS} of 0.1V0.1 V. Keeping VGSV_{GS} constant, the VDSV_{DS} is increased to…NAT · +2 marks · Medium
  7. Set 1 Q65The photocurrent of a PN junction diode solar cell is 11 mA. The voltage corresponding to its maximum power point is 0.30.3 V. If the thermal voltage is 3030NAT · +2 marks · Hard

GATE EC 20235 questions

  1. Set 1 Q16In a semiconductor, if the Fermi energy level lies in the conduction band, then the semiconductor is known asMCQ · +1 marks · Easy
  2. Set 1 Q17For an intrinsic semiconductor at temperature T=0KT = 0 K, which of the following statement is true?MCQ · +1 marks · Easy
  3. Set 1 Q19For a MOS capacitor, VfbV_{\text{fb}} and VtV_{\text{t}} are the flat-band voltage and the threshold voltage, respectively. The variation of the depletion width…MCQ · +1 marks · Medium
  4. Set 1 Q56In an extrinsic semiconductor, the hole concentration is given to be 1.5ni1.5n_i where nin_i is the intrinsic carrier concentration of…NAT · +2 marks · Medium
  5. Set 1 Q61In a semiconductor device, the Fermi-energy level is 0.35 eV0.35\text{ eV} above the valence band energy. The effective density of states in the valence band at…NAT · +2 marks · Hard

GATE EC 20228 questions

  1. Set 1 Q16Consider a long rectangular bar of direct bandgap p-type semiconductor. The equilibrium hole density is 1017 cm310^{17} \text{ cm}^{-3} and the intrinsic carrier…MCQ · +1 marks · Medium
  2. Set 1 Q17In a non-degenerate bulk semiconductor with electron density n=1016 cm3n = 10^{16} \text{ cm}^{-3}, the value of ECEFn=200 meVE_C - E_{Fn} = 200 \text{ meV}, where ECE_C and…MCQ · +1 marks · Easy
  3. Set 1 Q18Consider the CMOS circuit shown in the figure (substrates are connected to their respective sources). The gate width (WW) to gate length (LL) ratios…MCQ · +1 marks · Medium
  4. Set 1 Q20The ideal long channel nMOSFET and pMOSFET devices shown in the circuits have threshold voltages of 1 V1\text{ V} and 1 V-1\text{ V}, respectively. The MOSFET…MCQ · +1 marks · Medium
  5. Set 1 Q34An ideal MOS capacitor (p-type semiconductor) is shown in the figure. The MOS capacitor is under strong inversion with VG=2 VV_G = 2\text{ V}. The corresponding…NAT · +1 marks · Medium
  6. Set 1 Q40Consider an ideal long channel nMOSFET (enhancement-mode) with gate length 10 µm10 \text{ µm} and width 100 µm100 \text{ µm}. The product of electron mobility…MCQ · +2 marks · Medium
  7. Set 1 Q47Select the CORRECT statement(s) regarding semiconductor devices.MSQ · +2 marks · Medium
  8. Set 1 Q57Select the CORRECT statement(s) regarding semiconductor devices.NAT · +2 marks · Medium

GATE EC 20215 questions

  1. Set 1 Q16A bar of silicon is doped with boron concentration of 1016 cm310^{16}\text{ cm}^{-3} and assumed to be fully ionized. It is exposed to light such that electron-hole…MCQ · +1 marks · Medium
  2. Set 1 Q17The energy band diagram of a p-type semiconductor bar of length LL under equilibrium condition (i.e., the Fermi energy level EFE_F is constant) is shown in…MCQ · +1 marks · Medium
  3. Set 1 Q40For an n-channel silicon MOSFET with 10 nm gate oxide thickness, the substrate sensitivity (VT/VBS\partial V_T / \partial |V_{BS}|) is found to be 50 mV/V at a…MCQ · +2 marks · Hard
  4. Set 1 Q52A silicon P-N junction is shown in the figure. The doping in the P region is 5×1016 cm35 \times 10^{16} \text{ cm}^{-3} and doping in the N region is…NAT · +2 marks · Hard
  5. Set 1 Q54For the transistor M1M_1 in the circuit shown in the figure, μnCox=100 μA/V2\mu_n C_{ox} = 100\text{ }\mu\text{A/V}^2 and (W/L)=10(W/L) = 10, where μn\mu_n is the mobility of…NAT · +2 marks · Medium

GATE EC 20208 questions

  1. Set 1 Q16A single crystal intrinsic semiconductor is at a temperature of 300 K with effective density of states for holes twice that of electrons. The thermal voltage…MCQ · +1 marks · Medium
  2. Set 1 Q17Consider the recombination process via bulk traps in a forward biased pnpn homojunction diode. The maximum recombination rate is UmaxU_{max}. If the electron and…MCQ · +1 marks · Medium
  3. Set 1 Q41A one-sided abrupt pnpn junction diode has a depletion capacitance CDC_D of 50 pF50\text{ pF} at a reverse bias of 0.2 V0.2\text{ V}. The plot of 1/CD21/C_D^2 versus…MCQ · +2 marks · Medium
  4. Set 1 Q42The band diagram of a pp-type semiconductor with a band-gap of 1 eV1\text{ eV} is shown. Using this semiconductor, a MOS capacitor having VTHV_{TH} of…MCQ · +2 marks · Hard
  5. Set 1 Q43The base of an npnnpn BJT T1 has a linear doping profile NB(x)N_B(x) as shown below. The base of another npnnpn BJT T2 has a uniform doping NBN_B of…MCQ · +2 marks · Hard
  6. Set 1 Q44A pnpn junction solar cell of area 1.0 cm21.0\text{ cm}^2, illuminated uniformly with 100 mW cm2100\text{ mW cm}^{-2}, has the following parameters: Efficiency =15%= 15\%,…MCQ · +2 marks · Medium
  7. Set 1 Q46An enhancement MOSFET of threshold voltage 3 V3\text{ V} is being used in the sample and hold circuit given below. Assume that the substrate of the MOS device…MCQ · +2 marks · Hard
  8. Set 1 Q47Using the incremental low frequency small-signal model of the MOS device, the Norton equivalent resistance of the following circuit is [figure]MCQ · +2 marks · Medium

GATE EC 20198 questions

  1. Set 1 Q18Which one of the following options describes correctly the equilibrium band diagram at T=300 KT=300\text{ K} of a Silicon pnn+p++pnn^+p^{++} configuration shown in the…MCQ · +1 marks · Medium
  2. Set 1 Q19The correct circuit representation of the structure shown in the figure is [figure]MCQ · +1 marks · Medium
  3. Set 1 Q20The figure shows the high-frequency C-V curve of a MOS capacitor (at T = 300 K) with ϕms=0\phi_{ms} = 0 V and no oxide charges. The flat-band, inversion, and…MCQ · +1 marks · Medium
  4. Set 1 Q45The quantum efficiency (η\eta) and responsivity (RR) at a wavelength λ\lambda (in μ\mu m) in a p-i-n photodetector are related byMCQ · +2 marks · Easy
  5. Set 1 Q50In the circuits shown, the threshold voltage of each nMOS transistor is 0.6 V0.6\text{ V}. Ignoring the effect of channel length modulation and body bias, the…MCQ · +2 marks · Medium
  6. Set 1 Q58A Germanium sample of dimensions 1 cm×1 cm1\text{ cm} \times 1\text{ cm} is illuminated with a 20 mW, 600 nm laser light source as shown in the figure. The…NAT · +2 marks · Hard
  7. Set 1 Q59In an ideal pnpn junction with an ideality factor of 1 at T=300T=300 K, the magnitude of the reverse-bias voltage required to reach 75% of its reverse saturation…NAT · +2 marks · Medium
  8. Set 1 Q60Consider a long-channel MOSFET with a channel length 1 μm1\ \mu\text{m} and width 10 μm10\ \mu\text{m}. The device parameters are acceptor concentration…NAT · +2 marks · Medium

GATE EC 20187 questions

  1. Set 1 Q12In the circuit shown below, the op-amp is ideal and Zener voltage of the diode is 2.5 volts. At the input, unit step voltage is applied, i.e.…MCQ · +1 marks · Hard
  2. Set 1 Q17In a p-n junction diode at equilibrium, which one of the following statements is NOT TRUE?MCQ · +1 marks · Medium
  3. Set 1 Q28A p-n step junction diode with a contact potential of 0.65 V has a depletion width of 1 μ\mu m at equilibrium. The forward voltage (in volts, correct to two…NAT · +1 marks · Medium
  4. Set 1 Q30There are two photolithography systems: one with light source of wavelength λ1=156\lambda_1 = 156 nm (System 1) and another with light source of wavelength…NAT · +1 marks · Easy
  5. Set 1 Q40Red (R), Green (G) and Blue (B) Light Emitting Diodes (LEDs) were fabricated using pnp-n junctions of three different inorganic semiconductors having different…MCQ · +2 marks · Easy
  6. Set 1 Q47A dc current of 26μA26 \mu A flows through the circuit shown. The diode in the circuit is forward biased and it has an ideality factor of one. At the quiescent…NAT · +2 marks · Hard
  7. Set 1 Q53In the circuit shown below, the (W/L)(W/L) value for M2M_2 is twice that for M1M_1. The two nMOS transistors are otherwise identical. The threshold voltage VTV_TNAT · +2 marks · Hard

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