Electronics and Communication Engineering (ECE) Exam  >  Electronics and Communication Engineering (ECE) Questions  >  Consider a uniformly doped silicon npn bipola... Start Learning for Free
Consider a uniformly doped silicon npn bipolar transistor at T = 300 K. The device is biased in the forward-active mode with VCB = 2.5 V. The metallurgical base width is xB0 = 1.0 μm. The doping concentrations are NE = 8 x 1017 cm-3 , NB = 2 x 1016 cm-3, and NC = 1015 cm-3. (a) Determine the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration.?
Most Upvoted Answer
Consider a uniformly doped silicon npn bipolar transistor at T = 300 K...
Solution:

Given parameters are:

VB = ?
VCB = 2.5 V
xB0 = 1 μm
NE = 8 x 1017 cm-3
NB = 2 x 1016 cm-3
NC = 1015 cm-3

To determine the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration, first, we need to determine the majority carrier hole concentration, p0.

Majority Carrier Hole Concentration

The majority carrier hole concentration can be calculated by using the following formula:

p0 = NB / exp(qVBE / kT)

where q is the charge on the electron, k is the Boltzmann constant, and T is the temperature in Kelvin.

We assume that VBE = VB since we want to determine the B–E voltage.

q = 1.6 x 10-19 C
k = 1.38 x 10-23 J/K
T = 300 K

Therefore, p0 = NB / exp(qVB / kT)

p0 = (2 x 1016 cm-3) / exp[(qVB / kT)]

Minority Carrier Electron Concentration

The minority carrier electron concentration can be calculated by using the following formula:

nB = (NE / NB) x p0 x exp(-qVBE / kT)

We are given that nB = 0.1 x p0.

Therefore, 0.1 x p0 = (NE / NB) x p0 x exp(-qVB / kT)

Solving for VB, we get:

VB = (kT / q) x ln[(NE / NB) / 0.1]

VB = (1.38 x 10-23 J/K x 300 K / 1.6 x 10-19 C) x ln[(8 x 1017 cm-3 / 2 x 1016 cm-3) / 0.1]

VB = 0.678 V

Therefore, the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration is 0.678 V.
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
Explore Courses for Electronics and Communication Engineering (ECE) exam

Similar Electronics and Communication Engineering (ECE) Doubts

Top Courses for Electronics and Communication Engineering (ECE)

Consider a uniformly doped silicon npn bipolar transistor at T = 300 K. The device is biased in the forward-active mode with VCB = 2.5 V. The metallurgical base width is xB0 = 1.0 μm. The doping concentrations are NE = 8 x 1017 cm-3 , NB = 2 x 1016 cm-3, and NC = 1015 cm-3. (a) Determine the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration.?
Question Description
Consider a uniformly doped silicon npn bipolar transistor at T = 300 K. The device is biased in the forward-active mode with VCB = 2.5 V. The metallurgical base width is xB0 = 1.0 μm. The doping concentrations are NE = 8 x 1017 cm-3 , NB = 2 x 1016 cm-3, and NC = 1015 cm-3. (a) Determine the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration.? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Consider a uniformly doped silicon npn bipolar transistor at T = 300 K. The device is biased in the forward-active mode with VCB = 2.5 V. The metallurgical base width is xB0 = 1.0 μm. The doping concentrations are NE = 8 x 1017 cm-3 , NB = 2 x 1016 cm-3, and NC = 1015 cm-3. (a) Determine the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration.? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a uniformly doped silicon npn bipolar transistor at T = 300 K. The device is biased in the forward-active mode with VCB = 2.5 V. The metallurgical base width is xB0 = 1.0 μm. The doping concentrations are NE = 8 x 1017 cm-3 , NB = 2 x 1016 cm-3, and NC = 1015 cm-3. (a) Determine the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration.?.
Solutions for Consider a uniformly doped silicon npn bipolar transistor at T = 300 K. The device is biased in the forward-active mode with VCB = 2.5 V. The metallurgical base width is xB0 = 1.0 μm. The doping concentrations are NE = 8 x 1017 cm-3 , NB = 2 x 1016 cm-3, and NC = 1015 cm-3. (a) Determine the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration.? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE). Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of Consider a uniformly doped silicon npn bipolar transistor at T = 300 K. The device is biased in the forward-active mode with VCB = 2.5 V. The metallurgical base width is xB0 = 1.0 μm. The doping concentrations are NE = 8 x 1017 cm-3 , NB = 2 x 1016 cm-3, and NC = 1015 cm-3. (a) Determine the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration.? defined & explained in the simplest way possible. Besides giving the explanation of Consider a uniformly doped silicon npn bipolar transistor at T = 300 K. The device is biased in the forward-active mode with VCB = 2.5 V. The metallurgical base width is xB0 = 1.0 μm. The doping concentrations are NE = 8 x 1017 cm-3 , NB = 2 x 1016 cm-3, and NC = 1015 cm-3. (a) Determine the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration.?, a detailed solution for Consider a uniformly doped silicon npn bipolar transistor at T = 300 K. The device is biased in the forward-active mode with VCB = 2.5 V. The metallurgical base width is xB0 = 1.0 μm. The doping concentrations are NE = 8 x 1017 cm-3 , NB = 2 x 1016 cm-3, and NC = 1015 cm-3. (a) Determine the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration.? has been provided alongside types of Consider a uniformly doped silicon npn bipolar transistor at T = 300 K. The device is biased in the forward-active mode with VCB = 2.5 V. The metallurgical base width is xB0 = 1.0 μm. The doping concentrations are NE = 8 x 1017 cm-3 , NB = 2 x 1016 cm-3, and NC = 1015 cm-3. (a) Determine the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration.? theory, EduRev gives you an ample number of questions to practice Consider a uniformly doped silicon npn bipolar transistor at T = 300 K. The device is biased in the forward-active mode with VCB = 2.5 V. The metallurgical base width is xB0 = 1.0 μm. The doping concentrations are NE = 8 x 1017 cm-3 , NB = 2 x 1016 cm-3, and NC = 1015 cm-3. (a) Determine the B–E voltage such that the minority carrier electron concentration, nB, at x = 0 is 10 percent of the majority carrier hole concentration.? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
Explore Courses for Electronics and Communication Engineering (ECE) exam

Top Courses for Electronics and Communication Engineering (ECE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev