Semiconductors and Fermi Energy Concepts

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Questions and Answers

What is the intrinsic carrier concentration (ni) of an intrinsic semiconductor when given n and p equal to 1.5 × 10^10 cm−3?

  • 1.5 × 10^10 m−3
  • 1.5 × 10^8 m−3
  • 1.5 × 10^16 m−3 (correct)
  • 1.5 × 10^20 m−3

What is the total current through the series resistor when a Zener diode with a breakdown voltage of 5.6 V is used with an input voltage of 12 V and a series resistance of 100 Ω?

  • 70 mA
  • 80 mA
  • 64 mA (correct)
  • 50 mA

If a silicon diode has a forward voltage drop of 0.7 V and carries a current of 10 mA, what is the resistance in ohms of this diode under the given condition?

  • 0.07 Ω
  • 0.7 Ω
  • 7 Ω
  • 70 Ω (correct)

When the load current through the Zener diode is 20 mA and the total current is 64 mA, what is the current through the Zener diode?

<p>44 mA (A)</p> Signup and view all the answers

What is the breakdown voltage of a Zener diode that is used in a voltage regulator circuit when the input voltage is 12 V?

<p>5.6 V (C)</p> Signup and view all the answers

What happens when a p-n junction is formed?

<p>Electrons combine with holes, creating a depletion region. (A)</p> Signup and view all the answers

Which method is NOT used to form p-n junctions?

<p>Sublimation method (D)</p> Signup and view all the answers

What characterizes the depletion layer in a p-n junction?

<p>It has fixed and immobile ions only. (A)</p> Signup and view all the answers

What occurs during forward biasing of a p-n junction diode?

<p>Electric current flows through the junction. (A)</p> Signup and view all the answers

How does the doping level affect the width of the depletion layer?

<p>Heavy doping leads to a thinner depletion layer. (D)</p> Signup and view all the answers

Which of the following best describes reverse biasing of a p-n junction?

<p>It blocks the flow of electric current. (A)</p> Signup and view all the answers

In a p-n junction diode, which region is positively charged?

<p>N region (B)</p> Signup and view all the answers

What is the primary role of majority carriers in a p-n junction?

<p>They constitute the primary charge carriers in their respective regions. (C)</p> Signup and view all the answers

What happens to the Zener breakdown voltage as temperature increases?

<p>It decreases. (B)</p> Signup and view all the answers

What is the primary function of a Zener diode when used as a voltage regulator?

<p>To maintain a constant voltage. (A)</p> Signup and view all the answers

In a Zener voltage regulator, what component is connected in series with the input voltage?

<p>A current limiting resistor. (D)</p> Signup and view all the answers

How does the force exerted on electrons within a lightly doped diode compare to that in a heavily doped diode?

<p>It is strong enough to disrupt covalent bonds. (C)</p> Signup and view all the answers

Which statement correctly describes the purpose of a voltage regulator?

<p>To keep output voltage constant amid supply variations. (C)</p> Signup and view all the answers

What is the relationship between the load voltage (VR) and the Zener voltage (VZ) in a Zener diode circuit?

<p>VR equals VZ. (A)</p> Signup and view all the answers

Which of the following defines a rectifier?

<p>An electrical device that converts AC to DC. (C)</p> Signup and view all the answers

What condition is necessary for the Zener diode when acting as a voltage regulator?

<p>It must operate in reverse-biased condition. (C)</p> Signup and view all the answers

What is the Fermi energy at absolute zero temperature?

<p>It is the energy difference between the highest and lowest occupied states. (A)</p> Signup and view all the answers

What characterizes intrinsic semiconductors?

<p>They behave as insulators at 0 K and conductors at higher temperatures. (C)</p> Signup and view all the answers

How is an electron-hole pair generated in intrinsic semiconductors?

<p>Through the application of suitable energy that excites electrons. (D)</p> Signup and view all the answers

What defines the Fermi level in a semiconductor?

<p>It lies between the valence band and conduction band. (A)</p> Signup and view all the answers

Which type of semiconductor has a significant amount of impurities?

<p>Extrinsic semiconductors. (A)</p> Signup and view all the answers

What happens to carrier concentration in intrinsic semiconductors when energy is supplied?

<p>It increases due to the generation of electron-hole pairs. (A)</p> Signup and view all the answers

Which of the following elements are considered common intrinsic semiconductors?

<p>Silicon and Germanium. (C)</p> Signup and view all the answers

What type of impurities are typically used to create N-type semiconductors?

<p>Elements from the 5th group. (D)</p> Signup and view all the answers

What does half-wave rectification effectively do?

<p>It removes one-half of the input signal. (D)</p> Signup and view all the answers

Which component is essential for building a half-wave rectifier circuit?

<p>A diode (A)</p> Signup and view all the answers

During which phase does the diode in a half-wave rectifier conduct current?

<p>Positive half cycle (D)</p> Signup and view all the answers

What happens to the output voltage during the negative half cycle of the AC source voltage in a half-wave rectifier?

<p>It becomes zero. (B)</p> Signup and view all the answers

In the context of half-wave rectification, what is the relationship between output frequency and input frequency?

<p>Output frequency is equal to the input frequency. (B)</p> Signup and view all the answers

Which of the following applications commonly uses half-wave rectifiers?

<p>Mosquito repellents (C)</p> Signup and view all the answers

What component is commonly paired with the diode in a half-wave rectifier circuit?

<p>Transformers (D)</p> Signup and view all the answers

What is the behavior of the diode when it is forward biased in a half-wave rectifier?

<p>It acts as a closed switch. (B)</p> Signup and view all the answers

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Study Notes

Semiconductors

  • Semiconductors have a narrow energy gap of approximately 1 eV, with a nearly empty conduction band and a nearly filled valence band.

Fermi Energy

  • Fermi energy is the energy difference between the highest and lowest occupied states in a system of non-interacting fermions at absolute zero (0 K).
  • At absolute zero, Fermi energy represents the maximum kinetic energy an electron can achieve.
  • The Fermi level exists between the valence and conduction bands, where electrons fill the lowest energy states.

Types of Semiconductors

Intrinsic Semiconductors

  • Pure semiconductors, such as silicon and germanium, act as insulators at 0 K and conductors at higher temperatures.
  • They have equal numbers of conduction electrons and holes due to thermal excitation, a phenomenon called electron-hole pair generation.

Extrinsic Semiconductors

  • Contains impurities to modify electrical properties; can be doped with 3rd group (p-type) or 5th group (n-type) elements.
  • N-type semiconductors have excess electrons, while p-type semiconductors have excess holes.

P-N Junction Diode

  • Formed by joining n-type and p-type semiconductors; allows current to flow in one direction.
  • Depletion region is created where electrons and holes recombine, resulting in a layer devoid of mobile charge carriers.

Biasing in Diodes

  • Biasing applies external voltage to a p-n junction diode, resulting in two conditions:
    • Forward Biasing: Current flows when p-type is connected to positive terminal and n-type to negative terminal.
    • Reverse Biasing: Current is blocked; electrons from n-region and holes from p-region are repelled, increasing depletion layer width.

Zener Diode

  • Functions as a voltage regulator by maintaining constant voltage across a load despite variations in input voltage.
  • The load voltage remains equal to the Zener voltage when connected in reverse bias configuration.

Rectifiers

  • Convert alternating current (AC) to direct current (DC) through a process called rectification.
  • Types of Rectifiers:
    • Half-Wave Rectifier: Conducts during the positive half-cycle of AC. Output frequency equals input frequency. Requires one diode, a transformer, and a resistive load.

Half-Wave Rectifier Operation

  • Diode conducts during positive cycles and becomes reverse-biased during negative cycles, blocking current flow and producing a DC output.
  • Common applications include soldering irons and mosquito repellents.

Key Equations

  • Resistance formula for Zener diode calculation:
    • ( R = \frac{V}{I} )
  • Total current through the series resistor for Zener circuit:
    • ( I_{total} = \frac{V_{in} - V_Z}{R_S} )
    • ( I_{Z} = I_{total} - I_{load} )

Important Characteristics

  • Depletion layer width is influenced by doping level: heavy doping leads to a thin depletion layer, while light doping results in a thicker layer.

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