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# 3rd Semester Electronic and Communication Engineering (2013-December) Question Papers

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### 3rd Semester Electronic and Communication Engineering (2013-December) Question Papers

1. 1. '/ ,'' 1OMAT31 USN Third Semester B.E. Degree Examination, Dec.2013 lJan.20l4 Engineering Mathematics - Time: 3 hrs. lll Max. Marks:100 Note: Answer FIVEfull questions, selecting at least TWO questions from each part. 1 a' () (.) ;o ! a b. (.) oX = 6 E- c. m Gn,n), I L;tl/.n-l) .,2. n (06 Marks) f(x) = (, - 1)' in the interval 0 < x < 1 Obtain the half-range cosine series for the function, ^' = r{} * * * J [t +. } J (07 Marks) ) Compute the constant term and first two harmonics of the Fourier series of x 0 troo s() (x) 2 a. b. 1.0 4n 1l t.4 1.9 t.7 ; 1.5 t.2 Obtain the Fourier cosine translorm Find the Fourier transform of f(x) a: o() boc -o >6 o-X o.. o b. c o= so Marks) - I+x2' for t l"l = and evaluate forlxl >l c' (i) u(0, t) : u(/, 0 : 0 C' lI=! . . t.t <x ,< / under the following 0x' cfr.' (ii) u(x, 0) : T a. : .au fr(x.0) flx) and whcre u6 is constant (07 Marks) Obtain the D'Almbert's solution of the wave equation un u(x" 0) o (r< 0 (07 Marks) dt F> iio VL o J (ur) au (x.0)=9. ^ G: !o ii [ 0 Solve the one-dimensional wave equation, conditio-nS 5.e >' (F o x' = c. Find the inverse Fourier sine translorm of (07 Marks) # 3 a. obtain the various possible solutions of two dimensional Laplace' s equation, u** *uo = 0 9iE ,c) a(E ooo 01) (07 Marks) 1.0 of l(x) - {t - given by, (07 Marks) ._: o .,) by the method of separation of variables. or: -N 2n 5n ;J -:iJ -) .=& 9;i oC 2n 7C (x) Le J> -:r) hence deduce that I and hence show that 0) . Find the Fourier series expansion of the function f(x) = lxl G,,1 .9 Cn PART_A = 0. - C'u,* subject to the conditions (06 Marks) Find the best values of a, b, c, if the equation y=a+bx+cx2 is to fit most closely to the fo llo wing observations. (07 Marks) 1 x I 2 J 4 5 v 10 l2 13 t6 l9 Solve the following by graphical method to maximize z = 50x+ 60y subject to the constraints, 2x+3y <1500, 3x+2y < 1500, 0( x < 400 and 0 < y < 400. (06 Marks) By using Simplex method, maximize p=4xr -2xr-x. subject to the constraints, xr +x2 *X-. (3,2xr+2x, *X, ( 4, xt-x, <0, X,)0 and x, )0. (07 Marks)
2. 2. 1OMAT31 PART _ B Using Newton-Raphson method, find a real root of xsinx+cosx =0 nearer to n, carryout (07 Marks) three iterations upto 4-decimals places. Find the largest eigen value and the corresponding eigen vector of the matrix, 5a. b. lz -1 ol l-, 2 -11 Io -r ,) By using the power method by taking the initial vector as [t t t]' carryout 5 -iterations" (07 Marks) c. Solve the following system of equations by Relaxation method: t. 6 a. b. c. 2x+8y-z=24; 3x+4y+l0z=58 12x+y+z:31 ; locallty eals tne Iollowmg lnlormatlon as classified below, nducted m A survev conductecl in a slum localit reveals the followine informat 'x' Under 10 t0 -20 20-30 30-40 40-50 lncome per day in Rupees 20 45 115 115 Numbers of persons 'y' 274 (07 Marks) Estimate the probable number of persons in the income group 20.to 25. Determine (x) as a polynomials in x for the data given below by using the Newton's divided (07 Marks) formula. difference formula. 8 10 4 x 2 5 6 f(x) 10 96 t96 350 868 t746 I / r td rule by taking 6 equal strips and hence Evaluate lby using Si*pson's [ AO* jl+x of log; 2'. ^) Solve the wave equation. u(x, 0) b. : x(4 - t > 0 andu(x,0): c. (06 Marks) ^? + = 4{4, dt- dx' suUlect to u(0, t) : 0, u(4, t) - 1, K: 0.5 upto 4-steps. equatio, 4 =* subject to the conditions, ^a0x' : 0, u1(x, 0) x) by taking h Solve numericallythe andK- - ]I 3/ deduce an approximate value 74. (06 Marks) sirfi*, 0<x 0 and (07 Marks) u(0, t):0: u(1, t), <1, carryout the computation fortwo levels taking 1 h:+ (07 Marks) 36 Solve u* : *u,, =0 in the following square region with the 'bundary conditions as ' indicated in the Fig. Q7 (c). (06 Marks) 5oo I t]o 1oo 50 20 lI l2 Fig. Q7 (c) li 8a. Find 0000 the z-transform of (r) (ii) sinh n0 or" ^) +32 2z' b. Find the inverse z-transform c. Solve the difference equation, y n+2 -t 6yn*r -l9y coshn0 ****>'r (07 Marks) (06 Marks) (z+2)(z-47 with yo = Yl = 0 by using z-transform. (iii) n2 , = )n (07 Marks)
3. 3. MATDIP3Ol USN Third Semester B.E. Degree Examination, Dec.20l3 lJan.20l{ Advanced Mathematics Time: o o o 3 ..... I a.' Max. Marks:100 hrs. Note: Answer any Express the complex number q#+A FIYEfull ,', in the form x + iy. b. c. E9 2a. b. du oo ll Eoo c. 3a. (07 Marks) tr Find the nth deiivative of sin(ax + b). If y: lsin-l x)2. show that (1- x')yn ,z-(2n+ 1)xyn*, '." (06 Marks) - n'yn = 0. (07 Marks) r *, . -?'' ). Is(x - l) (7 - lf 2x + 3)] FindthenthderivativeofI .=N oYY OE: -o (06 Marks) Expand cos8 0 in a series of cosines multiples of 0. a C) questions. E;.2 . (3_42i)Find the modulus and amplitude of L :() I Using Taylor's theorem, express'lhe polynomial 2x3 + 7x2 + x (07 Marks) - 6 in powers of (x - 1). b. Using Maclaurin's series, expand taa x,,,upto the term containing x). t. o> (06 Marks) (07 Marks) If (07 Marks) Z =rt + y' - 3axy then prove o(.) odO h0q cg6 b. O.j= ^X c. If z: AE !o 5E v, -^o ECO o= o. ii tr> =o J< lf u=x+3y2 -z'.v=4x'yz. w= 222-xy"findthevalueof . Z L o o. a=(,''""*,). a(x,y"z Az .tOzMarks) 0y ur,1. -1, 0). (07 Marks) 5 a' b. Obtain the reduction formula u, x'dx , Evaluate J--. IIft , a. Evaluate l3 for Jsin" x dx (06 Marks) . :. ilu'-"' _N o (06Marks) where o'" oj o= . -du x'+-y3+3xy=1,616 -'. ' """ - ., ,Az Oz Oz (x, y) and x"ff1e-' andy =e-" -eu, provethat i_-;= x';-Vf du, dY dx 4a. If u=xlogxy a6 -o€ ;) ^) !J- = : : 1116 ayax AxAy -"(02 Marks) ,,,,,,,,,,,,,,,, + ev)dydx. (07 Malt<o) t1l 6 a. Evaluate JJJe'.'.'axdydz. ooo r,. b. Find the vatue or l[+i rr 2 LLrv c. (06 Marks) l / Prove that B(m-n', . @ (07 Marks) (07 Marks)
4. 4. MATDIP3Ol a. Solve I - .'*-" dx + x2 .e-2Y (06 Marks) . (07 Mary,ks) (07 ".T'(3 Marks) &te - .,%; , a'q, (06 Marks) (07 Marks) (07 Marks) -"'r "1" 2 of2
5. 5. 10ES32 USN Third Semester B.E. Degree Examination, Dec.2013/Jan.20l4 Analog Electronic Gircuits Max. Marks:100 , Time: 3 hrs. N ote d o o : 1: : ::: I!.Y^u *'! PART _ A L a Iy:"'fi i: "! :::': s . I a. Explain the following with respect to a semi conductor diode (i) Diffusion capacitance. (ii) Transition capacitance (iii) Reverse recovery time. : o ad o 3e b. c. (06 NIarks) (08 Marks) Explain the"working of bridge rectifier. Design a suitable circuit represented by the box shown below which has input and output (06 Marks) waveforms as indicated. r 6v ;o'{ -o ,, ool troo .= c.i 6\$ i: OO Yd) oE o % **t;lc +- U*j,^t v; 3i t fr. 3v + Ya -toY -ro{ -O o> Fig. Q1 (c) a* oo) o0i 2a. b. - (ii) Derive an expression for Ie, Ic and Vce for vohagg divider bias using exact analysis. For the circuit shown below; determine (i) Ie (ii) Ic -s Ed (iii) (10 Marks) (06 Marks) VcE. Ycc C- OE to -5v Rc- u,m p- 5. //*"/ (_ o= . 3- oj ifi ad !o '2 . q) lo/qI Y, 50v ^= ca0 o= o. ii VL 9- rJ< J6i c' nlg. qz iu; Determine Rs and Rc for the transistor inverter Ie : 1500% Is1,nu*). of Fig. Q2 (c) if I61s,11 : 10 mA, (04 Marks) (J o Z 3 a. Derive an expression for Av, ZiandZo for CE fixed bias using r. equivalent model. (10 Marks) o
6. 6. 10ES32 3 b. For the circuit shown in Fig. Q3 (b), calculate ta, Zi, Zo, Ay, A1. rJct Fc q (10 Marks) V 1_.1F..Jt- ttol{.rL [- to/+ rI ro f =roe J ItE; -fo 6O !t su = o'-fY Fig. Q3 (b) 4 a. b. Determine the lower cut off frequency for the emitter follower using BJT amplifier with 120 Kf), Rr- : 4 Kf), Re : 1.5 KO, Cc : 0.1 ptf 0 : 100, Cs 0.1 Pf, Rs =' 1 Kf), Rr (12 Marks) f0:6, Vcc: 15 V, Var: 0.7 V. (08 Marks) Derive equations for Miller input and output capacitance. : : , 34. b. PART _B (10 Marks) Derive an expression for Zi, Ay, Ar for Darlington emitter follower circuit. feedback in amplifier? Show how bandwidth of an amplifier What are the effects of negative (10 Marks) 6a. With a neat diagram explain the working of complementary symmetry push pull amplifier. b. Explain the operation of class B push pull amplifier and show that its efficiency is 78.5Yo at (10 Marks) maximum power dissipation. 7a. (08 Marks) With a neat diagram; explain the working of RC phase shift oscillator. With a neat diagram, explain the working of series resonant crystal oscillator. A crystal has L : 0.334^H, C : 0.065 pt CM : 1 pf, R : 5.5 kQ. Calculate its series and parallel (10 Marks) b. resonating 8a. b. frequency. (12 Marks) Draw the JFET amplifier using fixed bias configuration. Derive Zi, ZO and AV using small (10 Marks) signal model. For the JFET amplifier shown in Fig. Q3 (b), calculate (i) g. (ii) 16 1111) Zi (iv) Zs (v) Av. (lo Marks) t95 2or{ Ipss: 5 mA 2-*n- +F *r'y* Vp:-6V F---YO z.o/t Yos €-l I Fie. Q8 (b) *8*E{< 2 of2 :40 ps
7. 7. 10ES33 USN Third Semester B.E. Degree Examination, Dec. 20l3lJan.2Ol4 Logic Design Max. Marks:100 Time: 3 hrs. Note: Answer FIVEfull questions, selecting atleust TWO questions from each part. . d) o o 1 a. o () (JX 50- b. c. ,=6 3 ^^l gco .=N 2 a. Design a three -input, one - output minimal tow-level gate combinational circuit which has an output equal to 1 when majority of its inputs are at logic 1 and has an output equal to 0 (08 Marks) when majority of its inputs are at logic 0. Minimize the expression : Y=[Be D+ABe p+A Be D+A Reduce the fbllowing function using K (A, B, C, D) : n M (0,3,4,7, Bc D+ABe p+ABcD. (06 Marks) Map technique 8, 10, 12,14) + d(2,6). - (06 Marks) Obtain all the prime implicaats of the following Boolean function using Quine - Mccluskey method, (a, b, c, d): >(0,2,3, 5, 8, 10, l1) oi -o b. o2 (10 Marks) verify the result using k - Map technique. Simplify the given function using MEV technique taking the least significant variable as the map entered variable (a, b, c, d, e) t(1, 3, 4, 6,9, 11, 12,14, 77, 19, 20. 22, 25, 27, 28, 30) + >d(8, 10, 24, 26). Marks) : o= o() < 3 a. Implement the multiple functions f,(a, b, c, d) : >(0,4,8, 10, 14, 15) and f2(a,b, c, d) : >(3,7,"9,13) using two 3 to 8 decoders. ,, b. Implement the following with a suitable decoder with active : 26 'Ea or= . :9 o: A,i c. 6E !O >'! ofr " .-c E= o-B tr> og (.) - r< tr \$ Marks) active high output : (w, x, y,z)=2(3,7,9) (08 Marks) g(a, b, c): x(2, 4, 7). Draw the interfacing diagram of ten key keypad interface to a digital system using decimal (06 Marks) to BCD encoder. (06 Marks) 4 a. Configure a 16 to 1 MUX using 4 to 1 MUX. ,r b. Implement the: following Boolear"i function+with 8 : 1 multiplexer (06 Marks) (A, B, C, D) Xr(0, 2,6,10,11,12,13) d(3, 8, 14). c. Write a truth table for two - bit magnitude comparator. Write the K - Map for each output of two -l 6i - bit magnitude comparator and the resulting equation. (08 Marks) o PART -7 o 5 a. b. c. - B What do you mean by sequential circuit? Explain with the help of block diagram? (04 Marks) Explain with timing diagram, the working of SR latch as a switch debouncer. (06 Marks) Explain the working of a master - slave JK flip-flop with the help of logic diagram, function (10 Marks) table, logic symbol and timing diagram.
8. 8. 108S33 6 a. b. Obtain the characteristic equation for a SR flip-flop. (04 Marks) Design a 4-bit register using positive edge triggered D flip-flops to operate as indicated in (08 Mark\$ the table below : Mode select Register operation &r c. la. b. AO Hold 1 0 Synchronous clear I 0 Complement contents 1 Circular shift rieht Design a synchronous Mod - 6 counter using JK flip - flop. 0 0 Explain mealy. and Moore models.of a clocked synchronous sequential circuits. Analyse the synchronous sequential circuit shown in Fig. Q7(b). (08 Marks) (08 Marks) (12 Marks) Fig. Q7(b) 8a. b. Write the basic recommended Steps for design of a clocked synchronous sequential circuit. (06 Marks) Construct the excitation table, transition table, state table and state diagram for the Moore sequential circuit showri in Fig. Q8(b). (14 Marks) Fie. Q8(b) {<*{<** 2 of2
9. 9. l0ES34 USN Third Semester B"E. Degree Examination, Dec. Z0l3lJan.2014 Network Analysis Time: 3 hrs. Max. Marks:100 Note: Answer FIVEfull questions, selecting utleast Tl4/O questions from each port, PART _ A .J o o ! 1 a. b' c. Find the equivalent resistance at AB using Y - A transformation technique for the circuit (05 Marks) shown in Fig. Ql(a). (All the resistors connected are 30 Q each). (05 Marks) Find 'i"' and 'v,' lbr rhe circuit shown in Fig. ] I (b) by Mesh analysis. (10 Marks) For the network given in F,g. Qi(.:), finj '19' usi;rg ni,dal analysis. ldlL q) () UD ! 4o 4tx- To ln + t24V 7-r- d9 7r) -*1 Fig. Q1(a) troo nbo YO -o :e (.) 2a. Fig. Q1(c) Irig. Ql(b) set s:hedule fbr the,retwork shorvl in Fig. Q2(a), and using the tie set schedule determine all brarch currents. {Take inner resistors as tree branch elements). Write the tie - (10 Marks) b. = For the network shown in Fig. Q2(b). draw the dual circuit. Also write the nodal equations (10 for the dual circuit. aX (.* o() zt ;l ( Fig. ;6 ia OE 6X trp. 3a. b. o'! o-j Q2(a) m *"{ l< w ./g '+ Find the voltage 'V' across 3f) resistor using superposition theorems for the circui (10 Marks) the Fig. Q3(a). State Millman's theorem. Using Millman's theorem tlnd current through the load resistor Rr(I0 Marks) fbr the circuit shown in Fig .Q3(b). ai -!l = (F * >- uo" io0 .-c 6= a: :o Yl Fig. Q3(a) U< -i o o Z ..i a. b. :l\$-rrFig. 3(b) (10 Marks) Find the Thevenin's equivalent of the network shown in Fig. Q4(a). State maximum power transfbr theorem. For the circuit shown in Fig. Q4(b), what should be the value of 'R' sucir that maximum power transfbr can take place from the rest of the (10 Marks) network to 'R'. Obtain rhe amount of this power, 33- 1rl 5)_ ti ?Yt' Fig.Qa(a) Fig.Qa(b)
10. 10. 10ES34 PART 5 a. - B A220 V, 100 Hz AC souice supplies a series RLC cil'cuit with a capacitor and a coil. If the coil has 50 m O resistance and 5 mH inductance, find at a resonance frequency of 100 Hz what is the value of capacitor. Also cal,:ulate the Q factor and half power frequencies of the circuit. Find the value of Rr such that the circuit given in Fig. Q5(b) is resonant. (10 Marks) (06 Marks) 4- c. 6a. Fig. Qs(c) Fig. Qs(b) Determine Rl and Rc- that causes the circuit to be resonant at all frequencies for the circuit (04 Marks) shown in Fig. Q5(c). In the network shown in Fig. Q6(a) the switch is closed at t : 0. Determine di ,d2i . Jand-;at t:o. dt dt' (10 Marks) d, d2i -r-.-at t:0-+ dt'6,2 (10 Marks) t, b. For the circuit shown in Fig. Q6(b), the switch 'K' is changed from position - I to position 2 at t: 0 steady - state condition having been reached at position - 1. Find the values of i, Fig. Q6(a) la. Fie. Q6(b) Inthe Fig. Q7(a), the battery voltage'10'V is applied fbr a steady state period with switch 'K' open. Obtain the cornplete expression lbr the current after closing the switch K. Use b. Laplace transforms. Referring to the Fig. Q7(b), solve lbr i;(t ). using Laplace transtbrmation. ig (10 Marks) (10 Marks) ta^AA Io-a- 2 su.(*-4 Find the 'z' parameters of the circuit shown in Fig. Q8(a). T - .-ILJL r(a) Q8( Following are the nrbl,T paral lme ' Lt , [n, n,rl: [, rrrr]-L3 iu's =En* Fig.e7(b) Fig.Q7(a) 8 a. 5rt lbr (10 Marks) a network 21 6] fi Determine the Y paramet ers fbr the network. (10 Marks)
11. 11. 10IT35 USN Third Semester B.E. Degree Examination, Dec.2013 / Jan.2Ol4 :: Electronic () o o lnstrumentation . Time: 3 hrs. ', Max. Markg:100 Note: .4nswer any FIVEfull questions, selecting atleast TWO questionsfrdmeach part. :::. PART-A a) o L ."t"".'., 11 , rr,rt 11,, oX I a. 6e trca b. .=N cB+ hbn c. Y() og: _c() , Define the following terms as applied to an instrument : i) Accuracy and Precision ii) Random error iiil Absolute and relative error ir) ,Gxoss error v) Systematic error. ' (06 Marks) Determine the vaiue of the multiplier resistance on the 50V range of a dc voltmeter that uses a250pA meter movement with an internal resistance of 100Q. (06 Marks) Explain in detail the working of true RMS volt rrrcter and give the difference between peak re sponding and average resp,,qnding vo ltmet ers. (08 Marks) ,, 2 a. Explain in detail the working of successive ;! oO o0c cB6 9= -6 b. c. approximation tlpe digital voltmeter and give the O/P for 4 bit control word. (08 Marks) A 4% digit DUM is used for voltage measurements, i) Find its resolution ii) How would 67.50Y be displayed on a 5V range iii) How would 0.716V be displayed on lV and 10V ranges. (06 Marks) Explain in detail the working of digital multimetet. (06 Marks) !s= 5o OE o- 6. oj a= 3a. (05 Marks) b. c. d. AE !o >,} trD0 o= *o tr> :o 5L b, .j o a of sampling oscilloscope, with necessary waveforms. ' ''' (10 Marks) Explain in detail the working of digital storage oscilloscope and list the advantages of DSO. (10 klarks) PART _ B (} a: z What is an electroflrd'*n.n and explain in detail lt, *.iAi..*odes of operation? (05 Marks) List the various control knobs on the front panel of CRO. (04 Marks) An electrically deflected CRT has a final anode voltage of 2000V and parallel deflecting plates 1.59m apart. If the screen is 50cm from the center of t'h€ deflecting plates, find i) Beam speed ii) Deflection sensitivity of the tube iiD Deflection factor. (06 Marks) 4 a. ,,E4plain in detail the working o< : Explain in detail the generation of time base signal for the horizontal deflecting plates. 5a. Explain in detail the working of function generator. b. Explain in detail the working of square and pulse generator. c. Explain in detail the working of sine and square wave generator. a. CEN{RAL LIERARY t Marks) Marks) (04 Marks) Explain in detail the working of wien bridge oscillator and find the parallel 'R' and 'C' that causes a wien bridge to null with the following components values. (12 Marks) :2.7kC) , R2:22KA, Cl :5lrF , Rq: l00k0andtheoperating frequency is2.2KJ{2. R1 ::
12. 12. 10IT35 For the wheat stone bridge shown in fig. Q6(b), the galvanometer has a current sensitivity of l2mmlpA. The internal resistance of galvanometer is 200Q. Calculate the deflection of the galvanometer caused due to 5Q unbalance in the arm AD. tot *uru\$,,, /i t: ::' Fig.Q6(b) J'l .:.:::::.: *r;. 1 gtt tOrt Explain in detail the working of resistive position transducer afld f,i;o calculate the output voltage when,wjper is 10cm from extreme end for the applied voltage of 5V and if the resistive positid.tiansducer uses a shaft with a stroke The total resistance of the potentiometer is 5kQ. Explain the construCtion principle and operation of 8a. ?{tOcm r,,,.. LVDT. ,,,,, Write a short note on signal,eonditioning system. b. Explain the working of piezo eleCulc transdlmerwith circuit diagram. c. Compare LED displays and LCDdip,plafs. .W",,;rtllil't' ."tii,1" ,,,:: :::, ,: 2 of2 (10 Marks) (10 Marks) (06 Marks) (10 Marks) (04 Marks)
13. 13. 10ES36 USN Third Semester B.E. Degree Examination, Dec.2013 /Jan.2O14 Max. Marks: I00 hrs. oi Note: Answer FIVEfull questions, selecting at least TWO questions from each part. L PART _ A o o a q I o o a. b. ox c. -*t coo (d\$ itO Yo) oE -o -r o> o2 2a. State and -qxplain the Coulomb's law of force between the two po,]at charges. (05 Marks) Four 10nc positive charges are located in the Z:0 plane at thd coiners of a square of side 8cm. A fifth 10nc positive charge is located at a point 8cm distant from the other charges. (07 Marks) Calculate the magnifude ofthe force on the fifth charge in free space. A 100nc point charge is located at A(-1, 1, 3) in free space. i) Find the locus of all points P(x, y, z) at whichtr*:500 V/m. (08 Marks) ii) Find yl it P(-2. y1. 3) lies on that locus. Determine the work done in carrying a charge of 2C from B(1, 0, 1) to A(0.8, 0.6, an-electric field E = yd, +xa, + 26,Ylmtalong the short arc of circl. 00i ffi Determine the electrio field intensity in the dielectric medium. -6 3a. OE Derive Poisson's and Laplace's equation. o,=ryC/mr, r' b. In free c. o.E the potential V(r). Usmg Laplace's equation derive an expression for capacitance trp. (.) j o= space the volume charge density A,i 5.v x! bov io0 o= so F> v! =o U. *'+ y': l"Z:7. (06 Marks) oo) (do !o in (04 Marks) b. Show that electric field intensity,, j'ni",Oue potential gradient. (04 Marks) c. Derive an expression for continuit, equation in point form. c. The Z: 0 defines the boundary between free Space and dielectric medium with dielectric constant 20. The electric field intensity in free space is E,=106. +20Q +40e,V/mt. a: -.() l) 4 .,..& b. c. State and explain Biot-Savart law. of rks) o find Marks) itor. (06 Marks) (06 Marks) i. fr Prove that Ampere's circular law V-x fr = i07 Marks) Determine the magnetic field intensity at point P(0.4, 0.3, 0). If the 8A curreni: in a co to orgin on the x-axis and outward to .o along y-axis. (07 Marks) conductor inward from J< -i c'i PART _ B C) o z o 5 a. Deduce the expression for force between the differential current elements. (10 Marks) b. A loop has a dimension of lmt x 2mt and lies in the uniform magnetic field Eo = -0.6i, + 0.86, T. The loop current is 4mA. Calculate the torque on the loop. (10 Marks) I of2
14. 14. 10E536 a. b. c. " Using Faraday's law derive an expression for emf induced in a stationary conductor placed (04 Marks) in a time varying magnetic field. media the relative permittivity e, : 5, conductivity o : 0, the In a certain dielectric displacement current density ia = 20cos(l.5 x 108t-bx)6y pNm'. Determine the electric (06 Marks) flux density and electric field intensity. in a capacitor the conduction current density is equal to displacement current Show that, (10 Marks) density for the applied voltage of v(t) : vs cos wt. a ' tlsing Maxwell's equation derive b. c. 8 a. b. an expression for uniform plane wave in fre. rpug^.: _ _ Derive an expression for propagation constant, intrinsic impedance, and, ,*r" #r:"Y#? (06 Marks) good confuting media if the uniform plane wave is propagating. "',, ' The fr fteiOi" t.e space is given by fr1*,t; = 10cos(10't -B*iay A/mt . Find B, )" and (06 Marks) E(x, t) at P(0.1, A.2,0.3) and t: lns. Derive an expression for reflection and transmission coefficient if the uniform plane wave (10 Marks) incident normally at tiie'boundary with different dielertric. (10 Marks) Write a short note on Poyn(ipg theorem. ,,. ",,, . , *.,0 *. ,I'.'* , ,,'11. ,i' ..: ,, :':: ,,,""' 1,,,, ' , .,. 2 of2 i