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ECET 2026 ECE

Day 1 ECET 2026 ECE – Diodes & Rectifiers Full Notes, Formulas & MCQs

Concept Notes

1. PN Junction Diode Basics

  • A PN junction diode is formed by joining p-type and n-type semiconductors.
  • It acts like a switch:
    • Forward bias → conducts current after cut-in voltage.
    • Reverse bias → ideally blocks current except small leakage current.

Cut-in voltage values:

  • Silicon: 0.7 , V
  • Germanium: 0.3 , V

Example:
If a silicon diode is connected in series with 5 , V source and 1 , k\Omega resistor:

 I = \frac{5 - 0.7}{1000} = 4.3 , mA


2. Half-Wave Rectifier (HWR)

  • Uses one diode to convert AC into pulsating DC.
  • Output is present only during one half-cycle.
  • Low efficiency and high ripple.

Key facts:

  • Efficiency = 40.6 %
  • Ripple factor = 1.21
  • PIV of diode = V_m

Example:
If input peak voltage = 25 V, the PIV = 25 V.


3. Full-Wave Rectifier (FWR)

  • Uses both half-cycles of AC.
  • Can be made using:
    • Center-tap transformer + 2 diodes
    • Bridge Rectifier (4 diodes)

Key facts:

  • Efficiency = 81.2 %
  • Ripple factor = 0.48
  • PIV for center-tap = 2 V_m
  • PIV for bridge = V_m

Example:
If input peak = 30 V (with center tap), then PIV = 60 V.


4. Bridge Rectifier

  • Uses 4 diodes in bridge form.
  • Does not need a center-tap transformer.
  • Two diodes conduct in each half cycle.
  • Better transformer utilization.

5. Rectifier Parameters

  • Average current (IDC): measures DC output.
  • RMS current (IRMS): measures effective current.
  • Ripple factor (γ):

 \gamma = \frac{I_{rms}}{I_{dc}} - 1

Efficiency (η):

 \eta = \frac{P_{dc}}{P_{ac}} \times 100 %

Peak Inverse Voltage (PIV): max reverse voltage diode can withstand.


⚙️ Formulas

Diode Equation:

 I = I_s \left( e^{\frac{V}{\eta V_T}} - 1 \right)

Thermal Voltage:

 V_T = \frac{kT}{q} \approx 26 , mV , \text{at 300K}

HWR Average Current:

 I_{dc} = \frac{I_m}{\pi}

HWR RMS Current:

 I_{rms} = \frac{I_m}{2}

FWR Average Current:

 I_{dc} = \frac{2 I_m}{\pi}

FWR RMS Current:

 I_{rms} = \frac{I_m}{\sqrt{2}}

Ripple Factor:

  • HWR:  \gamma = 1.21
  • FWR:  \gamma = 0.48

Efficiency:

  • HWR:  \eta = 40.6 %
  • FWR:  \eta = 81.2 %

PIV:

  • HWR:  PIV = V_m
  • FWR (center-tap):  PIV = 2 V_m
  • Bridge:  PIV = V_m

🔟 10 MCQs

Q1. The efficiency of a half-wave rectifier is approximately:
a) 20%
b) 40.6%
c) 81.2%
d) 100%

Q2. In a full-wave rectifier, the average DC current is:
a)  I_m / \pi
b)  I_m / 2
c)  2I_m / \pi
d)  I_m / \sqrt{2}

Q3. The ripple factor of a half-wave rectifier is:
a) 0.48
b) 1.21
c) 0.707
d) 2.0

Q4. In a bridge rectifier, the PIV across each diode is:
a)  V_m
b)  2V_m
c)  V_m / 2
d) 0

Q5. The RMS current of a full-wave rectifier is:
a)  I_m / 2
b)  I_m / \sqrt{2}
c)  I_m / \pi
d)  2I_m / \pi

Q6. A silicon diode requires minimum voltage to conduct:
a) 0.1 V
b) 0.3 V
c) 0.7 V
d) 1 V

Q7. The advantage of bridge rectifier over center-tap rectifier is:
a) Low PIV per diode
b) Fewer diodes used
c) No transformer needed
d) Reduced power factor

Q8. The ripple factor of full-wave rectifier is approximately:
a) 1.21
b) 0.48
c) 0.707
d) 0.25

Q9. In half-wave rectifier, if input peak voltage is 20 V, the PIV is:
a) 10 V
b) 20 V
c) 40 V
d) 0

Q10. The full-wave rectifier efficiency is:
a) 40.6%
b) 50%
c) 81.2%
d) 100%


✅ Answer Key

Q NoAnswer
Q1b
Q2c
Q3b
Q4a
Q5b
Q6c
Q7a
Q8b
Q9b
Q10c

🧠 Explanations

  • Q1: HWR efficiency = 40.6 %.
  • Q2: FWR average current = 2I_m / \pi.
  • Q3: HWR ripple factor = 1.21.
  • Q4: Bridge rectifier → PIV = V_m.
  • Q5: FWR RMS =  I_m / \sqrt{2} .
  • Q6: Cut-in voltage for Si diode = 0.7 V.
  • Q7: Advantage = low PIV per diode → (a).
  • Q8: FWR ripple factor = 0.48.
  • Q9: HWR PIV = 20 V.
  • Q10: FWR efficiency = 81.2 %.

🎯 Motivation / Why Practice Matters

Rectifiers are the foundation of all power supply circuits.

  • Without rectifiers, no electronic system can run on AC mains.
  • ECET repeatedly tests efficiency, ripple factor, PIV & IDC formulas.
  • Daily practice builds accuracy and speed to solve numerical questions in under 1 minute.

👉 Remember: “If you master rectifiers, you master the heart of electronics.”


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Comment (1)

  1. Rohan
    September 10, 2025 Reply

    Tnq boss ❤ Good explanation and it’s very easy to understand😉

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