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| author | priyanka | 2015-06-24 15:03:17 +0530 |
|---|---|---|
| committer | priyanka | 2015-06-24 15:03:17 +0530 |
| commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
| tree | ab291cffc65280e58ac82470ba63fbcca7805165 /1133/CH4 | |
| download | Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.tar.gz Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.tar.bz2 Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.zip | |
initial commit / add all books
Diffstat (limited to '1133/CH4')
28 files changed, 441 insertions, 0 deletions
diff --git a/1133/CH4/EX4.1/Example4_1.sce b/1133/CH4/EX4.1/Example4_1.sce new file mode 100755 index 000000000..be6f76385 --- /dev/null +++ b/1133/CH4/EX4.1/Example4_1.sce @@ -0,0 +1,21 @@ +//Example 4.1
+clc
+disp("Refering to equation(1),")
+ri=(25*57*1.8)/((57*1.8)+(25*1.8)+(25*57)) // in k-ohm
+format(6)
+disp(ri," R''_i(in k-ohm) = R1 || R2 || h_ie =")
+disp("Now R''_i + R3 = R")
+r3=7.1-1.631 // in k-ohm
+format(5)
+disp(r3,"Therefore, R3(in k-ohm) = R - R''_i =")
+k=20/7.1
+format(6)
+disp(k," K = R_C / R =")
+disp("Now f = 1 / 2*pi*R*C*sqrt(6+4K)")
+c=(1/(sqrt(6+(4*2.816))*2*%pi*7.1*10*10^6))*10^12 // in pF
+format(8)
+disp(c,"Therefore, C(in pF) =")
+disp(" h_fe >= 4K + 23 + 29/K")
+hfe=(4*2.816)+23+(29/2.816)
+format(7)
+disp(hfe," h_fe >=")
diff --git a/1133/CH4/EX4.10/Example4_10.sce b/1133/CH4/EX4.10/Example4_10.sce new file mode 100755 index 000000000..7565c4c71 --- /dev/null +++ b/1133/CH4/EX4.10/Example4_10.sce @@ -0,0 +1,14 @@ +//Example 4.10
+clc
+fs=(1/(2*%pi*sqrt(0.4*0.085*10^-12)))*10^-6 // in MHz
+format(6)
+disp(fs,"(i) f_s(in MHz) = 1 / 2*pi*sqrt(L*C) =")
+ceq=0.085/1.085 // in pF
+disp(ceq,"(ii) C_eq(in pF) = C*C_M / C+C_M =")
+fp=(1/(2*%pi*sqrt(0.4*0.078*10^-12)))*10^-6 // in MHz (the answer in textbook is wrong)
+disp(fp,"Therefore, f_p(in MHz) = 1 / 2*pi*sqrt(L*C_eq) =")
+inc=((0.899-0.856)/0.856)*100 // in percentage
+disp(inc,"(iii) %increase =")
+q=(2*%pi*0.4*0.856*10^6)/(5*10^3)
+format(8)
+disp(q,"(iv) Q = omega_s*L / R = 2*pi*f_s*L / R =")
diff --git a/1133/CH4/EX4.11/Example4_11.sce b/1133/CH4/EX4.11/Example4_11.sce new file mode 100755 index 000000000..4c4009127 --- /dev/null +++ b/1133/CH4/EX4.11/Example4_11.sce @@ -0,0 +1,13 @@ +//Example 4.11
+clc
+disp(" C_M = 2 pF")
+fs=(1/(2*%pi*sqrt(2*0.01*10^-12)))*10^-6 // in MHz
+format(6)
+disp(fs,"Now f_s(in MHz) = 1 / 2*pi*sqrt(L*C) =")
+ceq=(2*0.01*10^-24)/(2.01*10^-12) // in F
+format(9)
+disp(ceq," C_eq(in F) = C_M*C / C_M+C =")
+fp=(1/(2*%pi*sqrt(2*9.95*10^-15)))*10^-6 // in MHz
+format(6)
+disp(fp," f_p = 1 / 2*pi*sqrt(L*C_eq) =")
+disp("So f_sand f_p values are almost same.")
diff --git a/1133/CH4/EX4.12/Example4_12.sce b/1133/CH4/EX4.12/Example4_12.sce new file mode 100755 index 000000000..90b609b79 --- /dev/null +++ b/1133/CH4/EX4.12/Example4_12.sce @@ -0,0 +1,30 @@ +//example 4.12.
+clc
+disp("From the given information we can write,")
+disp(" A = -16*10^6/j*omega and beta = 10^3/[2*10^3+j*omega]^2")
+disp("To verify the Barkhausen condition means to verify whether |A*beta| = 1 at a frequency for which A*beta = 0 degree. Let us express, A*beta in its rectangluar form.")
+disp(" A*beta = -16*10^6*10^3 / j*omega*[2*10^3+j*omega]^2 = -16*10^9 / j*omega*[4*10^6+4*10^3*j*omega+(j*omega)^2]")
+disp(" = -16*10^9 / j*omega*[4*10^6+4*10^3*j*omega-omega^2] as j*2 = -1")
+disp(" = -16*10^9 / 4*10^6*j*omega+4*10^3*j^2*omega^2-j*omega^3]")
+disp(" = -16*10^9 / j*omega*[4*10^6-omega^2]-[omega^2*4*10^3]")
+disp("Rationalising the denominator function we get,")
+disp(" A*beta = -16*10^9[-omega^2*4*10^3 - j*omega*[4*10^6-omega^2]] / [-[omega^2*4*10^3]-j*omega*[4*10^6-omega^2]]*[-omega^2*4*10^3 - j*omega*[4*10^6-omega^2]]")
+disp("Using (a-b)(a+b) = a^2 - b^2 in the denominator,")
+disp(" A*beta = 16*10^9[omega^2*4*10^3+j*omega*[4*10^6-omega^2]] / [-omega^2*4*10^3]^2 - [j*omega*[4*10^6-omega^2]^2")
+disp(" A*beta = 16*10^9[omega^2*4*10^3+j*omega*[4*10^6-omega^2]] / 16*10^6*omega^4 + omega^2(4*10^6-omega^2)^2")
+disp("Now to have A*beta = 0 degree, the imaginary part of A*beta must be zero. This is possible when,")
+disp("Therefore, omega*(4*10^6 - omega^2) = 0")
+disp("Therefore, omega = 0 or 4*10^6 - omega^2 = 0")
+disp("Therefore, omega^2 = 4*10^6 Neglecting zero value of frequency")
+disp("Therefore, omega = 2*10^3 rad/sec")
+disp("At this frequency |A*beta| can be obtained as,")
+disp(" |A*beta| = 16*10^9[4*10^3*omega^2] / 16*10^6*omega^4+omega^2[4*10^6-omega^2]^2 at omega = 2*10^3")
+ab=(2.56*10^20)/(2.56*10^20)
+disp(ab," |A*beta| =")
+disp("Therefore, At omega = 2*10^3 rad/sec, A*beta = 0 degree as imaginary part is zero while |A*beta| = 1. Thus Barkhausen Criterion is satisfied.")
+disp("The frequency at which circuit will oscillate is the value of omega for which |A*beta| = 1 and A*beta = 0 degree at the same time")
+disp("i.e. omega = 2*10^3 rad/sec")
+disp("But omega = 2*pi*f")
+f=(2*10^3)/(2*%pi) // in Hz
+format(9)
+disp(f,"Therefore, f(in Hz) = omega / 2pi =")
diff --git a/1133/CH4/EX4.13/Example4_13.sce b/1133/CH4/EX4.13/Example4_13.sce new file mode 100755 index 000000000..4061c3948 --- /dev/null +++ b/1133/CH4/EX4.13/Example4_13.sce @@ -0,0 +1,13 @@ +//Example 4.13
+clc
+disp("The frequency of the oscillator is given by,")
+disp(" f = 1 / 2*pi*sqrt(R1*R2*C1*C2)")
+disp("For f = 20 kHz,")
+r2=(1/(4*(%pi^2)*((20*10^3)^2)*(10*10^3)*((0.001*10^-6)^2)))*10^-3
+format(5)
+disp(r2,"Therefore, R2(in k-ohm) =")
+disp("For f = 70 kHz,")
+r2=(1/(4*(%pi^2)*((70*10^3)^2)*(10*10^3)*((0.001*10^-6)^2)))*10^-3
+format(6)
+disp(r2,"Therefore, R2(in k-ohm) =")
+disp("So minimum value of R2 is 0.517 k-ohm while the maximum value of R2 is 6.33 k-ohm")
diff --git a/1133/CH4/EX4.14/Example4_14.sce b/1133/CH4/EX4.14/Example4_14.sce new file mode 100755 index 000000000..e7cf930e7 --- /dev/null +++ b/1133/CH4/EX4.14/Example4_14.sce @@ -0,0 +1,11 @@ +//Example 4.14.
+clc
+disp("R = 6 k-ohm, C = 1500 pF, R_C = 18 k-ohm")
+k=18/6
+disp(k,"Now K = R_C / R =")
+disp("Therefore, f = 1 / 2*pi*R*C*sqrt(6+4K)")
+f=(1/(2*%pi*(6*10^3)*(1500*10^-12)*sqrt(6+12)))*10^-3 // in kHZ
+format(6)
+disp(f," f(in kHz) =")
+hfe=(4*3)+23+(29/3)
+disp(hfe," (h_fe)min = 4K + 23 + 29/K =")
diff --git a/1133/CH4/EX4.15/Example4_15.sce b/1133/CH4/EX4.15/Example4_15.sce new file mode 100755 index 000000000..2c3b5eebc --- /dev/null +++ b/1133/CH4/EX4.15/Example4_15.sce @@ -0,0 +1,18 @@ +//Example 4.15.
+clc
+format(6)
+disp("For a Wien bridge oscillator,")
+disp(" f = 1 / 2*pi*R*C")
+fm=(1/(2*%pi*(100*10^3)*(50*10^-12)))*10^-3 // in kHz
+disp(fm,"Therefore, f_max(in kHz) =")
+fmi=(1/(2*%pi*(100*10^3)*(500*10^-12)))*10^-3
+disp(fmi,"and f_min(in kHz) =")
+fn=31.83+50
+disp(fn,"Now f_new(in kHz) = f_max + 50*10^3 =")
+disp("The corresponding R = R'' with an additional resistance R_x in parallel")
+disp("Therefore, f = 1 / 2*pi*R''*C")
+r=(1/(2*%pi*(50*10^-12)*(81.83*10^3)))*10^-3 // in k-ohm
+disp(r,"Therefore, R''(in k-ohm) =")
+rx=1/((1/38.89)-(1/100)) // in k-ohm
+disp("Therefore, R'' = R*R_x / R+R_x")
+disp(rx,"Therefore, R_x(in k-ohm) = in parallel with 100 k-ohm")
diff --git a/1133/CH4/EX4.16/Example4_16.sce b/1133/CH4/EX4.16/Example4_16.sce new file mode 100755 index 000000000..0f15c09a1 --- /dev/null +++ b/1133/CH4/EX4.16/Example4_16.sce @@ -0,0 +1,9 @@ +//Example 4.16.
+clc
+format(6)
+disp("For a Hartley oscillator the frequency is given by,")
+disp(" f = 1 / 2*pi*sqrt(L_eq*C) where L_eq = L1+L2")
+leq=20+5 // in mH
+disp(leq,"Therefore, L__eq(in mH) = 20+5 =")
+f=(1/(2*%pi*sqrt(25*500*10^-15)))*10^-3 // in kHz
+disp(f,"Therefore, f(in kHz) =")
diff --git a/1133/CH4/EX4.17/Example4_17.sce b/1133/CH4/EX4.17/Example4_17.sce new file mode 100755 index 000000000..9ba63b53e --- /dev/null +++ b/1133/CH4/EX4.17/Example4_17.sce @@ -0,0 +1,12 @@ +//Example 14.7
+clc
+disp("For a Hartley oscillator,")
+disp(" f = 1 / 2*pi*sqrt(L_eq*C) where L_eq = L1 + L2 + 2M")
+leq=(1/(4*(%pi^2)*((168*10^3)^2)*(50*10^-12)))*10^3 // in mH
+format(6)
+disp(leq,"Therefore, L_eq(in mH) =")
+l2=((17.95*10^-3)-(15*10^-3)-(5*10^-6))*10^3 // in mH
+disp(l2,"Therefore, L2(in mH) =")
+hfe=((15*10^-3)+(5*10^-6))/((2.945*10^-3)+(5*10^-6))
+format(5)
+disp(hfe,"Now h_fe = L1+M / L2+M =")
diff --git a/1133/CH4/EX4.18/Example4_18.sce b/1133/CH4/EX4.18/Example4_18.sce new file mode 100755 index 000000000..841d16d66 --- /dev/null +++ b/1133/CH4/EX4.18/Example4_18.sce @@ -0,0 +1,22 @@ +//Example 4.18
+clc
+disp("For a Colpitts oscillator,")
+disp(" f = 1 / 2*pi*sqrt(L*C_eq)")
+disp("where C_eq = C1*C2 / C1+C2 but C1 = C2 = 0.001 uF")
+ceq=((0.001*10^-6)^2)/(2*(0.001*10^-6)) // in F
+format(7)
+disp(ceq,"Therefore, C_eq(in F) =")
+disp(" L = 5*10^-6 H")
+f=(1/(2*%pi*sqrt(25*10^-16)))*10^-6 // in MHz
+format(6)
+disp(f,"Therefore, f(in MHz) =")
+disp("Now L is doubled i.e. 10 uH")
+f1=(1/(2*%pi*sqrt(50*10^-16)))*10^-6 // in MHz
+format(5)
+disp(f1,"Therefore, f(in MHz) =")
+nf= 2*3.183
+format(6)
+disp(nf,"New frequency(in MHz) = 2*3.183 =")
+l=(1/(4*(%pi^2)*((6.366*10^6)^2)*(5*10^-10)))*10^6 // in uH
+format(5)
+disp(l,"Therefore, L(in uH) =")
diff --git a/1133/CH4/EX4.19/Example4_19.sce b/1133/CH4/EX4.19/Example4_19.sce new file mode 100755 index 000000000..7588d26fe --- /dev/null +++ b/1133/CH4/EX4.19/Example4_19.sce @@ -0,0 +1,8 @@ +//Example 4.19
+clc
+disp("For a Clapp oscillator,")
+disp(" f = 1 / 2*pi*sqrt(L*C3)")
+disp("where C3 = 63 pF")
+f=(1/(2*%pi*sqrt(315*10^-18)))*10^-6 // in MHz
+format(6)
+disp(f,"Therefore, f(in MHz) =")
diff --git a/1133/CH4/EX4.2/Example4_2.sce b/1133/CH4/EX4.2/Example4_2.sce new file mode 100755 index 000000000..400a8aecc --- /dev/null +++ b/1133/CH4/EX4.2/Example4_2.sce @@ -0,0 +1,6 @@ +//Example 4.2
+clc
+disp("The given values are, R = 4.7 k-ohm and C = 0.47 uF")
+f=1/(2*%pi*sqrt(6)*(4.7*10^3)*(0.47*10^-6)) // in Hz
+format(7)
+disp(f," f(in Hz) = 1 / 2*pi*sqrt(6)*R*C =")
diff --git a/1133/CH4/EX4.20/Example4_20.sce b/1133/CH4/EX4.20/Example4_20.sce new file mode 100755 index 000000000..93873f6c2 --- /dev/null +++ b/1133/CH4/EX4.20/Example4_20.sce @@ -0,0 +1,28 @@ +//Example 4.20
+clc
+disp("Refering to equation(1) of section 4.5.3, the input impedance is given by,")
+disp("R''_i = R1 || R2 || h_ie")
+disp("Now R1 = 25 k-ohm, R2 = 47 k-ohm, and h_ie = 2 k-ohm")
+format(7)
+ri=(25*47*2)/((47*2)+(25*2)+(25*47)) // in k-ohm
+disp(ri,"Therefore, R''_i(in k-ohm) =")
+disp(" K = R_C / R")
+disp("Now R_C = 10 k-ohm ...given")
+disp("Now f = 1 / 2*pi*R*C*sqrt(6+4K)")
+disp("Therefore, R*sqrt(6+4K) = 31830.989")
+disp("Now K = R_C / R = 10*10^3 / R")
+disp("Therefore, R*sqrt(6+(40*10*10^3/R)) = 31830.989")
+disp("Therefore, R^2*(6+(40*10*10^3/R)) = (31830.989)^2")
+R=poly(0,'R')
+p1=6*R^2+(40*10^3)*R-(31830.989)^2
+t1=roots(p1)
+ans1=t1(1)
+format(6)
+disp((-ans1)*10^-3,"Therefore, R(in k-ohm)= Neglecting negative value")
+k=10/16.74
+format(7)
+disp(k,"Therefore, K = R_C / R =")
+disp("Therefore, h_fe >= 4K + 23 + 29/K")
+hfe=(4*0.5973)+23+(29/0.5973)
+format(6)
+disp(hfe," h_fe >=")
diff --git a/1133/CH4/EX4.21/Example4_21.sce b/1133/CH4/EX4.21/Example4_21.sce new file mode 100755 index 000000000..cb58891b2 --- /dev/null +++ b/1133/CH4/EX4.21/Example4_21.sce @@ -0,0 +1,15 @@ +//Example 4.21
+clc
+disp("The frequency is given by,")
+disp(" f = 1 / 2*pi*R*C")
+disp("Let the resistance value to be selected as,")
+disp(" R1 = R2 = R = 50 k-ohm")
+disp(" f = 1 / 2*pi*50*10^3*C")
+f=(1/(2*%pi*(50*10^3)*100))*10^9 // in nF
+format(6)
+disp(f," f(in nF) =")
+disp("and f_max = 1 / 2*pi*50*10^3*C")
+c=(1/(2*%pi*(50*10^3)*(10*10^3)))*10^9 // in pF
+disp(c," C(in nF) =")
+disp("Thus to vary the frequency from 100 Hz to 10 kHz, the capacitor range should be selected as 0.318 nF to 31.83 nF")
+disp("Similarly keeping the capacitor value constant, the range of the resistance values can be obtained.")
diff --git a/1133/CH4/EX4.22/Example4_22.sce b/1133/CH4/EX4.22/Example4_22.sce new file mode 100755 index 000000000..cb9914c28 --- /dev/null +++ b/1133/CH4/EX4.22/Example4_22.sce @@ -0,0 +1,16 @@ +//Example 4.22
+clc
+disp(" f = 2.5 MHz, L = 10 uH, C1 = 0.02 uF")
+disp("For Colpitts oscillator, the frequency is given by,")
+disp(" f = 1 / 2pi*sqrt(L*C_eq)")
+ceq=(1/(4*(%pi^2)*((2.5*10^6)^2)*(10*10^-6)))*10^12 // in pF
+format(8)
+disp(ceq,"Therefore, C_eq(in pF) =")
+disp("(i)But C_eq = C1*C2 / C1+C2")
+c2=((0.02*10^-6)/49.348)*10^9 // in nF
+format(7)
+disp(c2,"Therefore, C2(in nF) =") // answer in textbook is wrong
+disp("(ii) L = 2*10 = 20 uH")
+disp("and C_eq = 405.284 pF")
+f=(1/(2*%pi*sqrt(20*405.284*10^-18)))*10^-6 // in MHz
+disp(f," f(in MHz) = 1 / 2*pi*sqrt(L*C_eq) =")
diff --git a/1133/CH4/EX4.23/Example4_23.sce b/1133/CH4/EX4.23/Example4_23.sce new file mode 100755 index 000000000..59c90cd22 --- /dev/null +++ b/1133/CH4/EX4.23/Example4_23.sce @@ -0,0 +1,14 @@ +//Example 4.23.
+clc
+f=(1/(2*%pi*sqrt(0.33*0.065*10^-12)))*10^-6 // in MHz
+format(6)
+disp(f,"(i) f(in MHz) = 1 / 2*pi*sqrt(L*C) =")
+ceq=0.065/1.065 // in pF
+disp(ceq,"(ii) C_eq(in pF) = C*C_M / C+C_M =")
+fp=(1/(2*%pi*sqrt(0.33*0.061*10^-12)))*10^-6 // in MHz
+disp(fp,"(i) f_p(in MHz) = 1 / 2*pi*sqrt(L*C_eq) =")
+pi=((1.121-1.087)/1.087)*100 // in percentage
+disp(pi,"(iii) % increase =")
+q=(2*%pi*1.087*0.33*10^6)/(5.5*10^3)
+format(8)
+disp(q,"(iv) Q = omega_x*L / R = 2*pi*f_s*L / R =")
diff --git a/1133/CH4/EX4.24/Example4_24.sce b/1133/CH4/EX4.24/Example4_24.sce new file mode 100755 index 000000000..e481b58c2 --- /dev/null +++ b/1133/CH4/EX4.24/Example4_24.sce @@ -0,0 +1,30 @@ +//Examle 4.24
+clc
+disp("(i) Assume one perticular coupling direction for which,")
+disp(" L_eq = L1 + L2 + 2M = 0.25 mH")
+format(8)
+f=(1/(2*%pi*sqrt(0.25*100*10^-15)))*10^-6 // in MHz
+disp(f,"Therefore, f(in MHz) = 1 / 2*pi*sqrt(L_eq*C) =")
+disp("Let the direction of coupling is reversed,")
+disp(" L_eq = L1 + L2 - 2M = 0.15 mH")
+fd=(1/(2*%pi*sqrt(0.15*100*10^-15)))*10^-6 // in MHz
+format(7)
+disp(fd,"Therefore, f''(in MHz) = 1 / 2*pi*sqrt(L_eq*C) =")
+pc=((1.2994-1.00658)/1.00658)*100 // in percentage
+format(6)
+disp(pc,"Therefore, % change = f''-f/f * 100 =")
+disp("(ii) Let us assume direction of coupling such that,")
+disp(" L_eq = L1 + L2 + 2M = 0.25 mH")
+disp(" C_t = Trim capacitor = 100 pF")
+disp("Therefore, C_eq = C*C_t / C+C_t = 50 pF")
+f1=(1/(2*%pi*sqrt(0.25*50*10^-15)))*10^-6 // in MHz
+format(7)
+disp(f1,"Therefore, f = 1 / 2*pi*sqrt(L_eq*C_eq) =")
+disp("If now direction of coupling is reversed,")
+disp(" L_eq = L1 + L2 - 2M = 0.15 mH")
+f2=(1/(2*%pi*sqrt(0.15*50*10^-15)))*10^-6 // in MHz
+format(8)
+disp(f2,"Therefore, f'' = 1 / 2*pi*sqrt(L_eq*C_eq) =")
+pc1=((1.83776-1.4235)/1.4235)*100
+format(7)
+disp(pc1,"Therefore, % change = f''-f/f * 100 =")
diff --git a/1133/CH4/EX4.25/Example4_25.sce b/1133/CH4/EX4.25/Example4_25.sce new file mode 100755 index 000000000..c6798b988 --- /dev/null +++ b/1133/CH4/EX4.25/Example4_25.sce @@ -0,0 +1,24 @@ +//Example 4.25
+clc
+disp("For RC phase shhift oscillator,")
+disp(" h_fe = 4K + 23 + 29/K ...given h_fe = 150")
+disp("Therefore, 150 = 4K + 23 + 29/K")
+disp("Therefore, 4K^2 - 127K + 29 = 0")
+K=poly(0,'K')
+p1=4*K^2-127*K+29
+t1=roots(p1)
+format(6)
+disp(t1,"Therefore, K =")
+disp(" f = 1 / 2*pi*R*C*sqrt(6+4K) ...given f = 5 kHz")
+disp("Therefore,Choose C = 100 pF")
+r=(1/(2*%pi*(1000*10^-12)*(5*10^3)*sqrt(6+(4*0.23))))*10^-3 // in k-ohm
+format(3)
+disp(r,"Therefore, R(in k-ohm) =")
+disp(" K = R_C / R i.e. R_C = KR = 2.7 k-ohm")
+disp("Neglecting effect of biasing resistances assuming them to be large and selecting transistor with h_ie = 2 k-ohm")
+disp(" R''_i = h_ie = 2 k-ohm")
+disp("Therefore,Last resistance in phase network")
+r3=12-2
+disp(r3," R3 = R - R''_i =")
+disp("Using the back to back connected zener diodes of 9.3 V (Vz) each at the output of emitter follower and using this at the output of the oscillator, the output amplitude can be controlled to 10 V i.e. 20 V peak to peak. The zener diode 9.3V and forward biased diode of 0.7 V gives total 10 V")
+disp("The designed circuit is shown in fig.4.49")
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\ No newline at end of file diff --git a/1133/CH4/EX4.26/Example4_26.sce b/1133/CH4/EX4.26/Example4_26.sce new file mode 100755 index 000000000..fd3e4c8f0 --- /dev/null +++ b/1133/CH4/EX4.26/Example4_26.sce @@ -0,0 +1,17 @@ +//Example 4.26
+clc
+disp(" L1 = 20 uH, L2 = 2 mH")
+leq=((20*10^-6)+(2*10^-3))*10^3 // in mH
+format(7)
+disp(leq,"Therefore, L_eq(in mH) = L1 + L2 =")
+disp(" For f = f_max = 2.5 MHz")
+disp(" f = 1 / 2*pi*sqrt(C*L_eq)")
+c=(1/(4*(%pi^2)*((2.5*10^6)^2)*(2.002*10^-3)))*10^12 // in pF
+format(7)
+disp(c,"Therefore, C(in pF) =")
+disp(" For f = f_min = 1 MHz")
+disp(" f = 1 / 2*pi*sqrt(C*L_eq)")
+c1=(1/(4*(%pi^2)*((1*10^6)^2)*(2.002*10^-3)))*10^12 // in pF
+format(8)
+disp(c1,"Therefore, C(in pF) =")
+disp("Thus C must be varied from 2.0244 pF to 12.6525 pF")
diff --git a/1133/CH4/EX4.27/Example4_27.sce b/1133/CH4/EX4.27/Example4_27.sce new file mode 100755 index 000000000..024c0c16e --- /dev/null +++ b/1133/CH4/EX4.27/Example4_27.sce @@ -0,0 +1,28 @@ +//Example 4.27
+clc
+ceq=((0.02*12*10^-24)/(12.02*10^-12))*10^12 // in pF
+format(8)
+disp(ceq," C_eq(in pF) = C1*C2 / C1+C2 =")
+fs=(1/(2*%pi*sqrt(50*0.02*10^-15)))*10^-6 // in MHz
+format(7)
+disp(fs,"Therefore, f_s(in MHz) = 1 / 2*pi*sqrt(L*C1) =")
+fp=(1/(2*%pi*sqrt(50*0.01996*10^-15)))*10^-6 // in MHz
+format(7)
+disp(fp,"Therefore, f_p(in MHz) = 1 / 2*pi*sqrt(L*C_eq) =")
+disp("Let C_s = 5 pF connected across the crystal")
+c2=12+5
+disp(c2,"Therefore, C''2(in pF) = C2 + C_x =")
+format(10)
+ceq1=0.019976
+disp(ceq1,"Therefore, C''_eq(in pF) = C1*C''2 / C1+C''2 =")
+fp1=5.03588
+disp(fp1,"Therefore, f''_p(in MHz) = 1 / 2*pi*sqrt(L*C_eq) =")
+disp("New C_x = 6 pF is connected then,")
+c21=12+6
+disp(c21," C''''2(in pF) = C2 + C_x =")
+ceq2=0.0199778
+disp(ceq2,"Therefore, C''''_eq(in pF) = C1*C''''2 / C1+C''''2 =")
+fp2=5.035716
+disp(fp2,"Therefore, f''''_p(in MHz) = 1 / 2*pi*sqrt(L*C''''_eq) =")
+c=(5.03588-5.035716)*10^6
+disp(c,"Therefore, Change(in Hz) = f''_p - f''''_p =")
diff --git a/1133/CH4/EX4.3/Example4_3.sce b/1133/CH4/EX4.3/Example4_3.sce new file mode 100755 index 000000000..84d482ee8 --- /dev/null +++ b/1133/CH4/EX4.3/Example4_3.sce @@ -0,0 +1,9 @@ +//Example 4.3
+clc
+disp("f = 1 kHz")
+disp("Now f = 1 / 2*pi*sqrt(6)*R*C")
+disp("Choose C = 0.1 uF")
+r=1/(sqrt(6)*2*%pi*0.1*1*10^-3) // in ohm
+format(8)
+disp(r,"Therefore, R(in ohm) = ")
+disp("Choose R = 680 ohm standard value")
diff --git a/1133/CH4/EX4.4/Example4_4.sce b/1133/CH4/EX4.4/Example4_4.sce new file mode 100755 index 000000000..dd76da165 --- /dev/null +++ b/1133/CH4/EX4.4/Example4_4.sce @@ -0,0 +1,20 @@ +//Example 4.4
+clc
+disp("Using the expression for the frequency")
+disp("Now, f = 1 / 2*pi*R*C*sqrt(6)")
+f=(1/(sqrt(6)*2*%pi*9.7*5*10^6))*10^9 // in nF
+format(5)
+disp(f,"Therefore, C(in nF) =")
+disp("Now using the equation(27)")
+disp(" |A| = g_m * R_L")
+disp("Therefore, |A| >= 29")
+disp("Therefore, g_m * R_L >= 29")
+rl=(29/(5000*10^-6))*10^-3 // in k-ohm
+format(4)
+disp(rl,"Therefore, R_L(in k-ohm) >= 29 / g_m =")
+disp(" R_L = R_D*r_d / R_D+r_d")
+rd=(40)/4.8823
+format(5)
+disp(rd," Therefore, R_D(in k-ohm) = ")
+disp("While for minimum value of R_L = 5.8 k-ohm")
+disp(" R_D = 6.78 k-ohm")
diff --git a/1133/CH4/EX4.5/Example4_5.sce b/1133/CH4/EX4.5/Example4_5.sce new file mode 100755 index 000000000..dd7ecb040 --- /dev/null +++ b/1133/CH4/EX4.5/Example4_5.sce @@ -0,0 +1,13 @@ +//Example 4.5
+clc
+disp("The frequency of the oscillator is given by,")
+disp(" f = 1 / 2*pi*sqrt(R1*R2*C1*C2)")
+disp("For f = 10 kHz,")
+r2=(1/(4*(%pi^2)*(100*10^6)*(10*10^3)*(0.001*10^-12))) // in k-ohm
+format(6)
+disp(r2,"Therefore, R2(in k-ohm) =")
+disp("For f = 50 kHz,")
+r2=(1/(4*(%pi^2)*(2500*10^6)*(10*10^3)*(0.001*10^-12))) // in k-ohm
+format(6)
+disp(r2,"Therefore, R2(in k-ohm) =")
+disp("So minimum value of R2 is 1.013 k-ohm while the maximum value of R2 is 25.33 k-ohm")
diff --git a/1133/CH4/EX4.6/Example4_6.sce b/1133/CH4/EX4.6/Example4_6.sce new file mode 100755 index 000000000..9d87689f4 --- /dev/null +++ b/1133/CH4/EX4.6/Example4_6.sce @@ -0,0 +1,16 @@ +//Example 4.6
+clc
+disp("The frequency is given by,")
+disp(" f = 1 / 2*pi*sqrt(C*L_eq)")
+leq=(2*10^-3)+(20*10^-6)
+format(8)
+disp(leq,"where L_eq = L1 + L2 =")
+disp("For f = f_max = 2050 kHz")
+format(5)
+c=(1/(4*(%pi^2)*((2050*10^3)^2)*0.00202))*10^12 // in pF
+disp(c,"Therefore, C(in pF) =")
+disp("For f = f_min = 950 kHz")
+c=(1/(4*(%pi^2)*((950*10^3)^2)*0.00202))*10^12 // in pF
+format(6)
+disp(c,"Therefore, C(in pF) =")
+disp("Hence C must be varied from 2.98 pF to 13.89 pF, to get the required frequency variation.")
diff --git a/1133/CH4/EX4.7/Example4_7.sce b/1133/CH4/EX4.7/Example4_7.sce new file mode 100755 index 000000000..47b4de4c5 --- /dev/null +++ b/1133/CH4/EX4.7/Example4_7.sce @@ -0,0 +1,10 @@ +//Example 4.7
+clc
+disp("The given values are,")
+disp(" L1 = 0.5 mH, L2 = 1 mH, C = 0.2 uF")
+disp("Now f = 1 / 2*pi*sqrt(C*L_eq)")
+leq=0.5+1 // in mH
+disp(leq,"and L_eq(in mH) = L1 + L2 =")
+f=(1/(2*%pi*sqrt(1.5*0.2*10^-9)))*10^-3 // in kHz
+format(5)
+disp(f,"Therefore, f(in kHz) =")
diff --git a/1133/CH4/EX4.8/Example4_8.sce b/1133/CH4/EX4.8/Example4_8.sce new file mode 100755 index 000000000..9f2e5db16 --- /dev/null +++ b/1133/CH4/EX4.8/Example4_8.sce @@ -0,0 +1,10 @@ +//Example 4.8
+clc
+disp("The equivalent capacitance is given by,")
+ceq=(150*1.5*10^-21)/((150*10^-12)+(1.5*10^-9)) // in F
+format(12)
+disp(ceq," C_eq(in F) = C1*C2 / C1+C2 =")
+disp("Now, f = 1 / 2*pi*sqrt(L*C_eq)")
+f=(1/(2*%pi*sqrt(50*136.363*10^-18)))*10^-6 // in MHz
+format(6)
+disp(f," f(in MHz) =")
diff --git a/1133/CH4/EX4.9/Example4_9.sce b/1133/CH4/EX4.9/Example4_9.sce new file mode 100755 index 000000000..217ad67d5 --- /dev/null +++ b/1133/CH4/EX4.9/Example4_9.sce @@ -0,0 +1,13 @@ +//Example 4.9
+clc
+disp("The given values are,")
+disp(" L = 100 uH, C1 = C2 = C and f = 500 kHz")
+disp("Now, f = 1 / 2*pi*sqrt(L*C_eq)")
+ceq=1/(4*(%pi^2)*(100*10^-6)*((500*10^3)^2)) // in F
+format(11)
+disp(ceq,"Therefore, C_eq(in F) =")
+disp("but C_eq = C1*C2 / C1+C2 and C1 = C2 = C")
+disp("Therefore, C_eq = C / 2")
+c=1.0132*2
+format(6)
+disp(c,"Therefore, C(in nF) =")
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