EECS 130 Midterm Exam 2: Integrated Circuit Devices - Part 1, Exams of Electrical Circuit Analysis

The first part of the midterm exam for the university of california, berkeley's eecs 130: integrated circuit devices course, focusing on forward-biased pn junction diodes and reverse saturation current calculations. Students are required to write down expressions for stored charges, rewrite current density expressions, interpret physical meanings, and calculate reverse saturation currents and injected charges.

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University of California, Berkeley
College of Engineering
Department of Electrical Engineering and Computer Sciences
EECS 130
Integrate Circuit Devices
Midterm Exam #2 Part one
(35% of total point weighting)
March 14, 1996
Two Problems. One 8 ½ “ x 11 “ sheet allowed for formula reference.
1. In a forward biased pn junction diode, Ln, p << device length.
(a) Write down the expression for stored charge on both sides of the pn
junction, Qn and Qp, in terms of device parameters such as ND, NA,
VA,…etc. (3 points)
(b) Rewrite the expression of current density in terms of Qn and Qp. (3 points)
(c) Interpret the physical meaning of the expression you derived in part (b). (2
points)
(d) How does the current change (increase or decrease) at a given forward
bias as temperature increase? Demonstrate your answer with equations
(use the back of this sheet if necessary). (4 points)
pf2

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University of California, Berkeley College of Engineering Department of Electrical Engineering and Computer Sciences

EECS 130 Integrate Circuit Devices Midterm Exam #2 Part one (35% of total point weighting) March 14, 1996

Two Problems. One 8 ½ “ x 11 “ sheet allowed for formula reference.

  1. In a forward biased pn junction diode, Ln, p << device length.

(a) Write down the expression for stored charge on both sides of the pn junction, Qn and Qp, in terms of device parameters such as ND, NA, VA,…etc. (3 points)

(b) Rewrite the expression of current density in terms of Qn and Qp. (3 points)

(c) Interpret the physical meaning of the expression you derived in part (b). ( points)

(d) How does the current change (increase or decrease) at a given forward bias as temperature increase? Demonstrate your answer with equations (use the back of this sheet if necessary). (4 points)

  1. A silicon step function has NA = 5 x 10^15 cm-3^ and ND = 10^15 cm-3, DN = 34 cm^2 /sec, DP = 12 cm^2 /sec, ni = 10^10 cm-3, kT = 0.026 eV, A = 10-4^ cm^2 , τp = 0.4 μs, and τn = 0.1 μs. Calculate.

(a) the reverse saturation current due to holes. (3 points)

(b) the reverse saturation current due to electrons. (3 points)

(c) reverse saturation current, I 0. (2 points)

(d) If VA = φ/2, calculate the i. hole concentration at xn and injected hold concentration at xn. (3 points)

ii. Hole concentration at x’ = Lp/2.

iii. Electron concentration at –xp and injected electron concentration at –xp. (3 points)

iv. Electron concentration at x’’ = Ln/2. (3 points)

(e) Calculate the total injected hole charge for VA = φ/2. (3 points)