Semiconductor Physics Quiz

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Questions and Answers

What is the relationship between current density and drift velocity in a semiconductor?

  • They are directly proportional. (correct)
  • They are independent of each other.
  • They are inversely proportional.
  • They are equal.

The average drift velocity $ar{v_d}$ is independent of the relaxation time $ar{t}$.

False (B)

What is the formula for the force acting on each electron in a semiconductor under an electric field?

F = -eE

The average time between two consecutive collisions is known as __________.

<p>relaxation time</p> Signup and view all the answers

Which equation represents the drift velocity of electrons in a semiconductor when an electric field is applied?

<p>v_d = -eE/m (C)</p> Signup and view all the answers

Match the terms with their correct definitions:

<p>Drift Velocity = Velocity of charge carriers due to an applied electric field Current Density = Current per unit area Relaxation Time = Average time between two consecutive collisions Electric Field = Force per unit charge</p> Signup and view all the answers

The drift velocity for holes is given as $v_d = -eE/m$.

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

What happens to the drift velocity when the electric field strength increases?

<p>The drift velocity increases.</p> Signup and view all the answers

What is the primary characteristic of conductors?

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

The conduction band is always completely filled with electrons.

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

What is the band gap range for insulators?

<blockquote> <p>3 eV</p> </blockquote> Signup and view all the answers

In semiconductors, the band gap is typically less than _____ eV.

<p>3</p> Signup and view all the answers

Which of the following is NOT a property of semiconductors?

<p>They have a high conductivity. (C)</p> Signup and view all the answers

What is the expression for the conductivity of a semiconductor?

<p>$ rac{ne^2 au}{m}$ (C)</p> Signup and view all the answers

Intrinsic semiconductors contain impurities that affect their electrical properties.

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

Match the following substances with their corresponding band gaps:

<p>Diamond = 6 eV Germanium = 0.7 eV Silicon = 0.17 eV Insulator = &gt; 3 eV</p> Signup and view all the answers

The drift velocity of free electrons is equal to the charge of the electron divided by mass times the electric field.

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

The minimum amount of energy required to shift electrons from the valence band to the conduction band is called the _____ energy gap.

<p>band</p> Signup and view all the answers

What does the symbol 'n' represent in the equations related to semiconductors?

<p>Free electron density</p> Signup and view all the answers

The charge of an electron is denoted by the symbol ______.

<p>e</p> Signup and view all the answers

Match the following terms with their definitions:

<p>$J_e$ = Current density of free electrons $J_h$ = Current density of holes $ au$ = Mean time between collisions $ extbf{v}_d$ = Drift velocity of charge carriers</p> Signup and view all the answers

Which variable represents the mobility of electrons in semiconductors?

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

The total current density in a semiconductor is directed in the same direction as the drift velocity of holes.

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

How is the relationship between current density (J) and electric field (E) expressed for semiconductors?

<p>J = sigma E</p> Signup and view all the answers

What is the majority charge carrier in an n-type semiconductor?

<p>Free electrons (B)</p> Signup and view all the answers

A p-type semiconductor is also known as a donor type semiconductor.

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

What is the effect of applying an external field on the holes in a p-type semiconductor?

<p>Holes advance from the valence band to the conduction band.</p> Signup and view all the answers

The density of minority carriers in a p-type semiconductor equals the ______ atom density.

<p>impurity</p> Signup and view all the answers

Match the type of semiconductor with its characteristics:

<p>n-type = Also known as donor type p-type = Also known as acceptor type</p> Signup and view all the answers

What happens to the covalent bonds when a trivalent impurity is added to a semiconductor?

<p>One covalent bond is broken, creating a hole. (B)</p> Signup and view all the answers

In an n-type semiconductor, holes are the majority charge carriers.

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

What does the drift velocity in a semiconductor refer to?

<p>The average velocity of charge carriers when an electric field is applied.</p> Signup and view all the answers

What type of charge carrier is created when a covalent bond breaks in a semiconductor?

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

Intrinsic semiconductors have unequal numbers of free electrons and holes.

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

What is the term used for the process of adding impurity to an intrinsic semiconductor?

<p>Doping</p> Signup and view all the answers

An example of a pentavalent impurity is _____

<p>Phosphorous</p> Signup and view all the answers

What happens to the conductivity of an intrinsic semiconductor when a suitable impurity is added?

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

Trivalent impurities have five valence electrons.

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

Match the following types of impurities to their corresponding characteristics:

<p>Pentavalent Impurity = Five valence electrons Trivalent Impurity = Three valence electrons</p> Signup and view all the answers

In an intrinsic semiconductor, the relationship between free electrons and holes can be expressed as _____

<p>n_e = n_h</p> Signup and view all the answers

Flashcards

What is an energy band?

A collection of closely packed energy levels in a solid.

What is the valence band?

The lower energy band in a solid, containing valence electrons.

What is the conduction band?

The higher energy band in a solid, usually empty or partially filled at room temperature.

What is the energy band gap?

The energy gap between the valence band and conduction band in a solid.

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What is a conductor?

A material with low resistivity and high conductivity, allowing easy flow of electricity.

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What is an insulator?

A material with high resistivity and low conductivity, resisting the flow of electricity.

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What is a semiconductor?

A material that behaves like an insulator at low temperatures but conducts electricity at higher temperatures.

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What is an intrinsic semiconductor?

A semiconductor made from a pure element, without any impurities added.

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Semiconductors

Materials that exhibit conductivity between that of a conductor and an insulator, with their conductivity highly dependent on temperature and impurities.

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Semiconductor Conductivity

The ability of a material to conduct electricity. Semiconductors are unique because their conductivity can be changed by adding impurities.

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Semiconductor at 0 Kelvin

The state of a semiconductor at 0 Kelvin (absolute zero), where it acts as an insulator, meaning it does not conduct electricity.

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Charge Carriers in Semiconductors

The movement of electrons and holes within a semiconductor material, contributing to its conductivity.

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Holes in Semiconductors

Positively charged particles within a semiconductor, formed when an electron leaves its bond, leaving behind a 'hole'.

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Doping in Semiconductors

Adding impurity atoms to an intrinsic semiconductor to increase its conductivity.

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Pentavalent Impurities

Impurity atoms with five valence electrons, such as phosphorus or arsenic.

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Trivalent Impurities

Impurity atoms with three valence electrons, such as boron or aluminum.

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Average Velocity of Free Electrons

The average velocity of free electrons in a semiconductor due to thermal energy is zero. This is because the electrons move randomly in all directions.

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Force on an Electron in an Electric Field

The force exerted on an electron in a semiconductor by an electric field is directly proportional to the strength of the field and the charge of the electron. This force causes the electron to accelerate in the direction opposite to the field.

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Acceleration of an Electron

The acceleration of an electron in a semiconductor due to an electric field is determined by the force acting on it and its mass. The acceleration is in the direction opposite to the field.

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Drift Velocity

The drift velocity is the average velocity achieved by free electrons in a semiconductor due to the influence of an electric field. It is directly proportional to the electric field strength, the time between collisions (relaxation time), and the charge-to-mass ratio of the electron.

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Conductivity of a Semiconductor

The conductivity of a semiconductor is a measure of how easily it conducts electricity. It is directly proportional to the number of free electrons, the charge of an electron, the relaxation time, and the drift velocity.

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Mobility of a Semiconductor

The mobility of a semiconductor is a measure of how easily electrons or holes move under the influence of an electric field. It is directly proportional to the charge-to-mass ratio and the relaxation time.

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Relationship between Current Density and Drift Velocity

The current density in a semiconductor is directly proportional to the drift velocity of the free electrons. A higher drift velocity results in a larger current.

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Relaxation Time

The average time between collisions between free electrons in a semiconductor is known as the relaxation time. It is a key factor in determining the conductivity and mobility of a semiconductor.

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Volume of a conductor

The volume of a conductor is given by the product of its cross-sectional area (A) and length (l).

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Current in a conductor

Current in a conductor is the product of the charge of an electron (e), the number density of free electrons (n), the drift velocity of electrons (v_d), and the cross-sectional area (A) of the conductor.

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Current density due to electron drift

The current density due to the drift velocity of free electrons is given by J_e = -ne(v_d), where e is the charge of an electron, n is the free electron density, and v_d is the drift velocity.

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Current density due to hole drift

The current density due to the drift velocity of holes is given by J_h = eh(v_d), where h is the hole density, and v_d is the drift velocity.

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Total current density

The total current density in a semiconductor is the sum of the current densities due to both free electrons and holes.

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Mobility of charge carriers

Mobility ("mu") is the ratio of drift velocity (v_d) to the electric field (E). It's basically how responsive the charge carriers are to an electric field.

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Electron and hole mobility

The mobility of electrons ("mu_e") is negative because electrons move in the opposite direction of the electric field, while the mobility of holes ("mu_h") is positive. They have the same magnitude but opposite signs.

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n-type semiconductor

A semiconductor material that is doped with impurities that have more valence electrons than the intrinsic semiconductor. Example: Germanium (Ge) doped with Arsenic (As).

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Majority charge carriers in n-type semiconductor

In an n-type semiconductor, the majority charge carriers are free electrons, created by the donor impurities.

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Minority charge carriers in n-type semiconductor

In an n-type semiconductor, the minority charge carriers are holes, which are the absence of an electron in the valence band.

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p-type semiconductor

A semiconductor material that is doped with impurities that have fewer valence electrons than the intrinsic semiconductor. Example: Germanium (Ge) doped with Indium (In).

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Majority charge carriers in p-type semiconductor

In a p-type semiconductor, the majority charge carriers are holes, created by the acceptor impurities.

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Minority charge carriers in p-type semiconductor

In a p-type semiconductor, the minority charge carriers are free electrons.

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Drift velocity of charge carriers

The average velocity of charge carriers (electrons and holes) in a semiconductor when an electric field is applied.

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Density of minority carriers in a semiconductor

The density of minority charge carriers in a semiconductor is equal to the density of impurity atoms.

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Study Notes

Semiconductors

  • Semiconductors are materials with conductivity between conductors (like metals) and insulators (like rubber).
  • Their conductivity is affected by temperature; increasing temperature increases conductivity.
  • Band theory explains electron occupation of energy levels in materials, influencing electrical conductivity.
  • Valence band: Electrons in this band have low energy and cannot easily contribute to current flow.
  • Conduction band: Electrons in this band have higher energy and can contribute to current flow.
  • Energy band gap: The energy difference between the valence and conduction bands.
  • Conductivity: The ability of a substance to conduct electricity.
  • Resistivity: A measure of a material's opposition to the flow of electric current.
  • Intrinsic semiconductors: Pure semiconductors with no impurities.
  • Extrinsic semiconductors: Semiconductors doped with impurities to enhance conductivity.
  • n-type semiconductors: Doped with pentavalent impurities (having 5 valence electrons), creating excess electrons.
  • p-type semiconductors: Doped with trivalent impurities (having 3 valence electrons), creating "holes" (electron vacancies).
  • pn-junction diode: A junction between n-type and p-type semiconductors, used for rectification and other purposes.
  • Forward bias: The positive terminal of the external voltage source is connected to the p-side, and the negative terminal is connected to the n-side.
  • Reverse bias: The positive terminal of the external voltage source is connected to the n-side, and the negative terminal is connected to the p-side.

Types of Semiconductors

  • Intrinsic semiconductor:

    • These semiconductors are pure, and their conductivity is due only to the intrinsic properties of the material.
    • Examples include germanium (Ge) and silicon (Si).
  • Extrinsic semiconductors:

    • Impurities are added to modify the electrical properties, thus changing conductivity.
  • n-type:

    • Pentavalent impurities (5 valence electrons) are added to increase the number of electrons.
  • P-type:

    • Trivalent impurities (3 valence electrons) are added to increase the number of holes.
  • Conductivity of semiconductors increases with temperature; this is because thermal energy is great enough to cause some electrons from the valence band to jump to the conduction band.

PN Junction Diode

  • A diode is a semiconductor device with two terminals, allowing current flow primarily in one direction.
  • A pn-junction diode is formed by joining p-type and n-type semiconductors.
  • The junction region has a depletion zone with no free charge carriers. Forward bias reduces the depletion layer width and facilitates current flow.
  • In reverse bias the depletion layer widens, and current flow is highly restricted.
  • The diode is typically non-conductive until the forward bias voltage exceeds a certain value (the threshold voltage), typically 0.7V.

Rectifier

  • A rectifier converts alternating current (AC) to direct current (DC).
  • Half-wave rectifier:
    • Allows only one direction of current, and thus conducts current in only one direction during a half cycle
    • The other half cycle of the input waveform is blocked.
  • Full-wave rectifier:
    • Allows current to flow through the circuit in both halves of the AC cycle.

Transistors

  • A transistor is a three-terminal semiconductor device used for amplification and switching in electronic circuits.
  • pnp transistor - Conduction is due to the movement of holes
  • npn transistors - Conduction is due to the movement of electrons
  • Transistor configurations include common base (CB), common emitter (CE), and common collector (CC).
  • Transistor biasing ensures stable operation.
  • Q-point: The operating point of a transistor where normal operation takes place.
  • Different operating modes include active, cutoff, and saturation.
  • There are different ways to bias a transistor including fixed bias and voltage divider bias.

Operational Amplifiers (Op-Amps)

  • An operational amplifier (Op-Amp) is a high-gain DC amplifier with differential inputs and a single output.
  • Op-Amps are used in a variety of circuits for mathematical operations like addition, subtraction, integration, differentiation, and comparison.
  • Ideal Op-Amps
    • Have infinite input impedance
    • Have zero output impedance
    • Have infinite open-loop gain
  • Real Op-Amps are close to ideal in most cases.
  • Various applications:
    • Inverting amplifiers
    • Non-inverting amplifiers
    • Adders
    • Subtractors
    • Integrators
    • Differentiators
    • Comparators

Other Devices

  • Solar cells convert solar energy into electrical energy.
  • Photodiodes are semiconductor devices sensitive to light; the current increases with increased light intensity.
  • Light-emitting diodes (LEDs) emit light when forward biased; the color of emitted light depends on the material.

Feedback in Amplifiers

  • Negative feedback reduces gain but increases stability, reduces non-linear distortion and increases input and output impedance.
  • Positive feedback increases gain but may lead to instability.

Oscillators

  • Wien-bridge oscillator: Generates sinusoidal signals at a specific frequency
  • Hartley oscillator: Generates sinusoidal waves, often in radio circuits
  • Colpitts oscillator: Similar to Hartley, but uses two capacitors to determine the oscillation frequency

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