# Bengal Engineering and Science University 2006 B.E Computer Science and Engineering Physical Electronics - Question Paper

the ques. paper is with the attachment.

Ex/BESUS/ ETC-406/ 06 B.E. (CST) Part-II 4th Semester Examination, 2006

Physical Electronics (ETC-406)

Time : 3 hours Full Marks : 100

Use separate answerscript _for each half.

Answer SIX questions, taking THREE _ from each half.

Two marks are reserved_for neatness in each half.

FIRST HALF

(The questions are of equal value.)

1. An electron starting from rest is accelerated by a uniform electric potential V. Derive an expression for the velocity of the electron when V is small.

Derive also the expression for velocity of the electron and its mass when accelerated by a electric potential V which is very large. Use the expressions to find the electron vel^{A}ocitv^{A}aiid^{A}J^{A} mass of the electron when C i ) V ~ 5 0^{A}000 Volts,

(ii) 1,00,000 Volts, (iii) 5,00,000 Volts.

2. A charged particle with electric charge + 18e and mass m_{p} = 1840 m_{e} (where e = electron charge = 1.6x10" Coulomb and m_{e} - electron rest mass = 9.11x10" kg) enters a uniform magnetic field B with a velocity v meters/sec corresponding to an accelerating potential of 3000 V in a direction at right angles to the field.

Show that the path followed by the particle is a circle. Find the radius R and time period T if B = 10,000 Gauss.

3. a) What do you understand by the following terms :

(i) Hole , (ii) Ionisation energy , (iii) amphoteric dopant.

Define the term 'Fermi level'.

b) Draw the energy band diagram of

(i) p-type semiconductor , (ii) n-type semiconductor , (iii) compensated semiconductor having ionized and unionized donors and acceptors.

V ;

5. a) Find, from first principles, the expression for the thermal equilibrium electron

concentration for the conduction band in silicon.

b) Show that the Fermi level in an intrinsic semiconductor is located at the centre of the energy band gap.

SECOND HALF

6. a) Write two main differences between semiconductors and insulations. Give

example of IV-VI, III-V and II-VI type compound semiconductors. Which type is suitable for infra red sensor?

b) Draw typical E-K diagrams for direct and indirect band gap semiconductors and semimetals. What do you understand by 'K' here?

c) What is effective mass? Calculate the approximate donor binding energy for Ge? [e_{r}= 16, m_{n}* = 0.12 m_{0}].

7. a) What is drift current? Consider a sample of silicon at T = 3 00K doped at an

impurity concentration of N^{A} = 10 cm and N_{a} = 10 cm . The electron and hole mobilities are u_{n} = 1350 cm^{2}/V-S and u_{p} = 480 cm^{2}/V-S, respectively. Calculate the drift current density if the applied electric field is E = 35 V/cm.

b) An intrinsic Si-sample is doped with donors from one side such that N<j = Nq exp

(-ax). Find E(x) at equilibrium for N<j Nj. Evaluate E(x) when a= 1 (Am)"^{1}.

8. a) Draw the band diagrams of a p-n junction for equilibrium, forward bias and

reverse bias.

b) What is Schottky barrier? Using band diagrams explain how a metal-semiconductor junction behaves like a diode.

c) Draw the I-V characteristics curve of a photo-voltaic cell. What is fill factor? Draw the equivalent circuit of the photo-voltaic cell. [6+(l+4)+(2+l+2)]

b) What do you understand by 'impact ionisation'? What are the main differences between Zener and Avalanche breakdown.

c) "Aluminium does not make good ohmic contact with n-silicon" - why? How to overcome this problem? [(2+6)+(2+4)+(l+l)]

10. a) Draw a p-n-p transistor and show the electron and hole flow at different regions.

b) A p-n-p transistor is doped such that the emitter doping is twelve times that in base, the minority carrier mobility in the emitter is one-half of that in base, and the base width is one-tenth the minority carrier diffusion length. The carrier lifetimes are equal. Calculate a and p.

c) Draw the simplified hybrid n- equivalent circuit of a transistor. For a BJT, if x_{n} = 2.5 kQ and c^{A} = 2pF, then calculate the cutoff frequency. [4+6+(2+4)]

Attachment: |

Earning: Approval pending. |