Semiconductor Physics: Depletion Region and Reverse Bias

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Questions and Answers

In reverse-bias, what is the formula for Transition Capacitance (Ct)?

  • $C_T = C_0 (1 - \frac{V_R}{V_k})^{\frac{1}{3}}$
  • $C_T = C_0 (1 + \frac{V_R}{V_k})^{\frac{1}{3}}$
  • $C_T = C_0 (1 + \frac{V_R}{V_k})^{\frac{1}{2}}$ (correct)
  • $C_T = C_0 (1 - \frac{V_R}{V_k})^{\frac{1}{2}}$

What is the gen.formula for capacitance (C) in a p-n semiconductor device?

  • $C = \epsilon T_d$
  • $C = \frac{AT_d}{\epsilon}$
  • $C = \epsilon A T_d$ (correct)
  • $C = \frac{\epsilon}{AT_d}$

What is Diffusion Capacitance?

  • It is a capacitance associated with transport of charge carriers. (correct)
  • It is a capacitance related to forward bias voltage.
  • It is a capacitance caused by reverse bias voltage.
  • It is a capacitance arising from depletion region.

Which type of capacitance so outweighs the other in each region that we only consider the effects of one type in each region?

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

Under reverse-bias, how does Transition Capacitance change with increasing reverse bias voltage?

<p>Increases with a square root relation (B)</p> Signup and view all the answers

What is the role of n in the formula of Transition Capacitance in reverse-bias?

<p>$n$ adjusts the knee voltage calculation. (B)</p> Signup and view all the answers

Which capacitance arises from charge distribution under reverse bias?

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

Which factor plays a critical role in determining the Diffusion Capacitance in a diode under bias conditions?

<p>Carrier lifetime within the diode (D)</p> Signup and view all the answers

What is the relationship between the forward current (IF) and the diode voltage (VD) in the forward-bias region?

<p>IF grows very quickly and exponentially with VD (A)</p> Signup and view all the answers

What is the value of the diode current (ID) when the diode voltage (VD) is 0V?

<p>ID = 0 mA (D)</p> Signup and view all the answers

How does an increase in temperature affect the forward-bias characteristics of a silicon diode?

<p>The characteristics shift to the left by 2.5 mV per °C increase (C)</p> Signup and view all the answers

How does an increase in temperature affect the reverse-bias current of a silicon diode?

<p>The reverse current doubles for every 10°C rise in temperature (A)</p> Signup and view all the answers

What is the approximate change in diode voltage (VD) when the temperature increases from 20°C to 100°C in the forward-bias region?

<p>200 mV (A)</p> Signup and view all the answers

What is the approximate change in reverse current (IS) when the temperature increases from 20°C to 100°C?

<p>256-fold increase (D)</p> Signup and view all the answers

What is the primary factor that determines the ideality factor (n) in Shockley's equation?

<p>The physical construction and operating conditions of the diode (C)</p> Signup and view all the answers

If the ideality factor (n) is assumed to be 1, what does this imply about the diode's operation?

<p>The diode is operating in the forward bias region below the knee voltage (A)</p> Signup and view all the answers

What is the primary factor that determines the thermal voltage (VT) in Shockley's equation?

<p>The absolute temperature (TK) and electronic charge (q) (D)</p> Signup and view all the answers

If the reverse saturation current (Is) of a diode increases, what effect will it have on the diode current (ID) in the forward bias region?

<p>The diode current (ID) will increase (A)</p> Signup and view all the answers

In the forward bias region, what is the relationship between the applied voltage (VD) and the diode current (ID)?

<p>The diode current (ID) increases exponentially with the applied voltage (VD) (A)</p> Signup and view all the answers

What is the significance of the term 'nVT' in Shockley's equation?

<p>It represents the thermal voltage (VT) multiplied by the ideality factor (n) (A)</p> Signup and view all the answers

What is the expression for the diode current $I_D$ using Shockley's diode equation?

<p>$I_D = I_S \left( e^{\frac{V_D}{nV_T}} - 1 \right)$ (C)</p> Signup and view all the answers

What is the value of the diode current $I_D$ using Shockley's diode equation, given a reverse saturation current $I_S = 0.1$ mA, ideality factor $n = 2$, and reverse bias diode potential $V_D = -10$ V at a temperature of $25.4^\circ$C?

<p>$-100$ A (C)</p> Signup and view all the answers

What is the value of the diode current $I_D$ using Shockley's diode equation, given a reverse saturation current $I_S = 40$ nA, ideality factor $n = 2$, and forward bias diode potential $V_D = 0.5$ V at a temperature of $17.4^\circ$C?

<p>$872.34$ A (A)</p> Signup and view all the answers

What is the behavior of an ideal diode in the forward-bias region?

<p>The diode behaves like a closed switch. (C)</p> Signup and view all the answers

What is the behavior of an ideal diode in the reverse-bias region?

<p>The diode behaves like an open circuit. (A)</p> Signup and view all the answers

What happens to the number of uncovered positive ions in the depletion region of the n-type material under reverse bias?

<p>Increases due to the large number of free electrons drawn to the positive potential (D)</p> Signup and view all the answers

What effect does widening of the depletion region have on majority carrier flow under reverse bias?

<p>Reduces majority carrier flow to zero (B)</p> Signup and view all the answers

What is the term used to describe the point in the reverse region where the application of too negative a voltage with the reverse polarity will result in a sharp change in the characteristics?

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

What is the current that exists under reverse-bias conditions known as?

<p>Reverse saturation current (A)</p> Signup and view all the answers

What happens to the velocity and kinetic energy of the minority carriers responsible for the reverse saturation current I_s as the voltage across the diode increases in the reverse bias region?

<p>They increase in velocity and kinetic energy, eventually reaching a level sufficient to release additional carriers through collisions (D)</p> Signup and view all the answers

What does applying a forward-bias potential do to the width of the depletion region?

<p>Reduces the width of the depletion region (A)</p> Signup and view all the answers

Which bias condition results in heavy majority flow across the junction?

<p>Forward bias (C)</p> Signup and view all the answers

How can the avalanche breakdown region (V_BV) be brought closer to the vertical axis?

<p>By increasing the doping levels in the p and n-type materials (B)</p> Signup and view all the answers

What is the term used to describe the mechanism that contributes to the sharp change in the characteristic when the breakdown voltage V_BV decreases to very low levels?

<p>Zener breakdown (C)</p> Signup and view all the answers

What type of current is associated with reverse-bias conditions in a diode?

<p>$I_S$ reverse saturation current (C)</p> Signup and view all the answers

What is the maximum reverse-bias potential that can be applied before entering the breakdown region?

<p>Peak inverse voltage/peak reverse voltage (B)</p> Signup and view all the answers

What is the term used to describe diodes that operate in the Zener breakdown region?

<p>Zener diodes (C)</p> Signup and view all the answers

What is the primary reason for the formation of the depletion region near the pn-junction?

<p>To prevent further movement of electrons and holes (C)</p> Signup and view all the answers

How does the width of the depletion region compare to the n and p regions in a diode under reverse bias?

<p>It is thinner than both n and p regions (C)</p> Signup and view all the answers

What happens to the charge carriers (electrons and holes) in the depletion region due to diffusion across the junction?

<p>They are depleted (A)</p> Signup and view all the answers

What does the barrier potential represent in a diode under reverse bias?

<p>The voltage required to move electrons through the junction (D)</p> Signup and view all the answers

How does a pn-junction behave before a voltage equal to the barrier potential is applied across it?

<p>No electrons will begin to flow across the junction (B)</p> Signup and view all the answers

Why do we observe a net positive charge in a donor ion and a net negative charge in an acceptor ion?

<p>Because an electron leaves the parent atom (D)</p> Signup and view all the answers

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Study Notes

Diode Fundamentals

  • A PN-junction is formed instantly upon combining a p-type and n-type material.
  • The depletion region is a region near the pn-junction where charge carriers are depleted (electrons and holes) due to diffusion across the junction.
  • The depletion region is formed very quickly and is very thin compared to the n region and p region.
  • It also acts as a barrier to the further movement of electrons across the junction.

Depletion Region

  • The depletion region barrier potential or knee voltage (Vk) is the potential difference of the electric field across the depletion region.
  • The knee voltage is the amount of voltage required to move electrons through the electric field.
  • A certain amount of voltage equal to the barrier potential and with the proper polarity must be applied across a pn-junction before electrons will begin to flow across the junction.

Reverse Bias

  • In reverse bias, the depletion region widens, establishing a barrier that is too great for the majority carriers to overcome, effectively reducing the majority carrier flow to zero.
  • The current that exists under reverse-bias conditions is called the reverse saturation current (Is).
  • The widening of the depletion region reduces the majority carrier flow to zero.

Forward Bias

  • A forward-bias or “on” condition is established by applying the positive potential to the p-type material and the negative potential to the n-type material.
  • The application of a forward-bias potential V will “pressure” electrons in the n-type material and holes in the p-type material to recombine with the ions near the boundary and reduce the width of the depletion region.
  • The reduction in the width of the depletion region results in a heavy majority flow across the junction.

Diode Characteristics

  • The diode characteristic curve is a graph that shows the relationship between the voltage across the diode and the resulting current.
  • The curve is divided into three regions: forward bias, reverse bias, and breakdown region.
  • In the forward bias region, the current increases exponentially with the voltage.
  • In the reverse bias region, the current is very small and remains almost constant until the breakdown region.

Breakdown Region

  • The breakdown region is a point in the reverse region where the application of too negative a voltage with the reverse polarity will result in a sharp change in the characteristics.
  • The reverse-bias potential that results in this dramatic change in characteristics is called the breakdown potential (VBV).
  • Avalanche breakdown occurs when the velocity of the minority carriers responsible for the reverse saturation current Is will increase, eventually releasing additional carriers through collisions with otherwise stable atomic structures.
  • Zener breakdown occurs at lower levels of voltage and is another mechanism that contributes to the sharp change in the characteristic.

Diode Equations

  • Shockley's equation is a mathematical formula that describes the current-voltage characteristic of a diode: ID = IS (eVD/nVT - 1).
  • The diode current (ID) is equal to the reverse saturation current (IS) multiplied by the exponential of the voltage across the diode (VD) divided by the thermal voltage (VT).

Capacitance

  • There are two types of capacitance in a p-n semiconductor: transition capacitance and diffusion capacitance.
  • Transition capacitance (CT) is the capacitance that occurs due to the depletion region.
  • Diffusion capacitance is the capacitance that occurs due to the transport of charge carriers between two terminals of a device.

Temperature Effects

  • In the forward-bias region, the characteristics of a silicon diode shift to the left at a rate of 2.5 mV per centigrade degree increase in temperature.
  • In the reverse-bias region, the reverse current of a silicon diode doubles for every 10 °C rise in temperature.

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