diff options
Diffstat (limited to '1691/CH2')
35 files changed, 530 insertions, 0 deletions
diff --git a/1691/CH2/EX2.1/exmp2_1.sce b/1691/CH2/EX2.1/exmp2_1.sce new file mode 100755 index 000000000..457f479fa --- /dev/null +++ b/1691/CH2/EX2.1/exmp2_1.sce @@ -0,0 +1,30 @@ +//example 2.1
+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/1691/CH2/EX2.10/exmp2_10.sce b/1691/CH2/EX2.10/exmp2_10.sce new file mode 100755 index 000000000..660946b2d --- /dev/null +++ b/1691/CH2/EX2.10/exmp2_10.sce @@ -0,0 +1,16 @@ +//Example 2.10
+clc
+disp("L1 = 20 uH, L2 = 2 mH")
+leq=(20*10^-6)+(2*10^-3)
+format(10)
+disp(leq,"Therefore, L_eq(in H) = L1 + L2 =")
+disp("For f = f_max = 2.5 MHz")
+disp("f = 1 / 2*pi*sqrt(C*L_eq)")
+c=(1/(((2*%pi*2.5*10^6)^2)*(2.002*10^-3)))*10^12
+format(7)
+disp(c,"Therefore, C(in pF) =")
+disp("For f = f_min = 1 MHz")
+c=(1/(((2*%pi*1*10^6)^2)*(2.002*10^-3)))*10^12
+format(8)
+disp(c,"Therefore, C(in pF) =")
+disp("This C must be varied from 2.0244 pF to 12.6525 pF")
diff --git a/1691/CH2/EX2.11/exmp2_11.sce b/1691/CH2/EX2.11/exmp2_11.sce new file mode 100755 index 000000000..d86b6e8ed --- /dev/null +++ b/1691/CH2/EX2.11/exmp2_11.sce @@ -0,0 +1,10 @@ +//Example 2.11
+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/1691/CH2/EX2.12/exmp2_12.sce b/1691/CH2/EX2.12/exmp2_12.sce new file mode 100755 index 000000000..fb07d2a1e --- /dev/null +++ b/1691/CH2/EX2.12/exmp2_12.sce @@ -0,0 +1,13 @@ +//Example 2.12
+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) =")
diff --git a/1691/CH2/EX2.13/exmp2_13.sce b/1691/CH2/EX2.13/exmp2_13.sce new file mode 100755 index 000000000..aa5729bb0 --- /dev/null +++ b/1691/CH2/EX2.13/exmp2_13.sce @@ -0,0 +1,10 @@ +//Example 2.13
+clc
+disp("Given, C1 = 100 pF, C2 = 50 pF, f = 10 MHz, L = ?")
+ceq=(5000*10^-24)/(150*10^-12)
+format(10)
+disp(ceq,"C_eq(in F) = C1*C2 / C1+C2 = ")
+disp("f = 1 / 2*pi*sqrt(L*C_eq)")
+l=(1/(4*(%pi^2)*(33.33*10^-12)*((10*10^6)^2)))*10^6 // in F
+format(4)
+disp(l,"Therefore, L(in uH) =")
diff --git a/1691/CH2/EX2.14/exmp2_14.sce b/1691/CH2/EX2.14/exmp2_14.sce new file mode 100755 index 000000000..3fc2e04e5 --- /dev/null +++ b/1691/CH2/EX2.14/exmp2_14.sce @@ -0,0 +1,14 @@ +//Example 2.14
+clc
+disp("For a tuned collector oscillator,")
+disp("f_r = 1 / 2*pi*sqrt(L*C)")
+disp("where L = 30 uH and f_r to be varied 300 kHz to 1.5 MHz")
+disp("For f_r = 300 kHz")
+c1=(1/(4*(%pi^2)*(30*10^-6)*((300*10^3)^2)))*10^9 // in nF
+format(7)
+disp(c1,"Therefore, C1(in nF) =")
+disp("For f_r = 1.5 MHz")
+c2=(1/(4*(%pi^2)*(30*10^-6)*((1.5*10^6)^2)))*10^12 // in pF
+format(8)
+disp(c2,"Therefore, C2(in pF) =")
+disp("Hence C must be varied over 375.264 pF to 9.3816 nF, to achieve frequency variations")
diff --git a/1691/CH2/EX2.15/exmp2_15.sce b/1691/CH2/EX2.15/exmp2_15.sce new file mode 100755 index 000000000..b3da1eb8c --- /dev/null +++ b/1691/CH2/EX2.15/exmp2_15.sce @@ -0,0 +1,14 @@ +//Example 2.15
+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/1691/CH2/EX2.16/exmp2_16.sce b/1691/CH2/EX2.16/exmp2_16.sce new file mode 100755 index 000000000..d9c65d6f1 --- /dev/null +++ b/1691/CH2/EX2.16/exmp2_16.sce @@ -0,0 +1,13 @@ +//Example 2.16
+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_s and f_p values are almost same.")
diff --git a/1691/CH2/EX2.17/exmp2_17.sce b/1691/CH2/EX2.17/exmp2_17.sce new file mode 100755 index 000000000..41851bfb4 --- /dev/null +++ b/1691/CH2/EX2.17/exmp2_17.sce @@ -0,0 +1,11 @@ +//Example 2.17
+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/1691/CH2/EX2.18/exmp2_18.sce b/1691/CH2/EX2.18/exmp2_18.sce new file mode 100755 index 000000000..1b0d57d82 --- /dev/null +++ b/1691/CH2/EX2.18/exmp2_18.sce @@ -0,0 +1,28 @@ +//Example 2.18
+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/1691/CH2/EX2.19/exmp2_19.sce b/1691/CH2/EX2.19/exmp2_19.sce new file mode 100755 index 000000000..67c199977 --- /dev/null +++ b/1691/CH2/EX2.19/exmp2_19.sce @@ -0,0 +1,28 @@ +//Example 2.19
+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/1691/CH2/EX2.2/exmp2_2.sce b/1691/CH2/EX2.2/exmp2_2.sce new file mode 100755 index 000000000..6cba5ebf9 --- /dev/null +++ b/1691/CH2/EX2.2/exmp2_2.sce @@ -0,0 +1,21 @@ +//Example 2.2
+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/1691/CH2/EX2.20/exmp2_20.sce b/1691/CH2/EX2.20/exmp2_20.sce new file mode 100755 index 000000000..5eaf8dba8 --- /dev/null +++ b/1691/CH2/EX2.20/exmp2_20.sce @@ -0,0 +1,16 @@ +//Example 2.20
+clc
+ri=(22*68*2)/((68*2)+(22*2)+(22*68))
+format(7)
+disp(ri,"R''_i(in k-ohm) = R1 || R2 || h_fe =") //answer in textbook is wrong
+disp("Now R''_i + R3 = R")
+r3=6.8-1.8243
+disp(r3,"Therefore, R3(in k-ohm) = R - R''_i =")
+k=20/6.8
+disp(k,"K = R_C / R =")
+disp("Therefore, f = 1 / 2*pi*RC*sqrt(6+4K)")
+c=(1/(2*%pi*6.8*50*sqrt(6+(4*2.9411))*10^6))*10^12
+format(8)
+disp(c,"Therefore, C(in pF) =")
+hfe=(4*2.9411)+23+(29/2.9411)
+disp(hfe,"And h_fe >= 4 K + 23 + 29/K >=")
diff --git a/1691/CH2/EX2.21/exmp2_21.sce b/1691/CH2/EX2.21/exmp2_21.sce new file mode 100755 index 000000000..801dac7fc --- /dev/null +++ b/1691/CH2/EX2.21/exmp2_21.sce @@ -0,0 +1,13 @@ +//Example 2.21
+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/1691/CH2/EX2.22/exmp2_22.sce b/1691/CH2/EX2.22/exmp2_22.sce new file mode 100755 index 000000000..33e79798f --- /dev/null +++ b/1691/CH2/EX2.22/exmp2_22.sce @@ -0,0 +1,12 @@ +//Example 2.22
+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/1691/CH2/EX2.24/exmp2_24.sce b/1691/CH2/EX2.24/exmp2_24.sce new file mode 100755 index 000000000..afe8a857a --- /dev/null +++ b/1691/CH2/EX2.24/exmp2_24.sce @@ -0,0 +1,30 @@ +//Example 2.24
+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/1691/CH2/EX2.25/exmp2_25.sce b/1691/CH2/EX2.25/exmp2_25.sce new file mode 100755 index 000000000..c34d3ea1f --- /dev/null +++ b/1691/CH2/EX2.25/exmp2_25.sce @@ -0,0 +1,24 @@ +//Example 2.25
+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.2.58")
diff --git a/1691/CH2/EX2.25/exmpd2_25.xcos b/1691/CH2/EX2.25/exmpd2_25.xcos new file mode 100755 index 000000000..32b3b2bcd --- /dev/null +++ b/1691/CH2/EX2.25/exmpd2_25.xcos @@ -0,0 +1 @@ +<?xml version="1.0" encoding="UTF-8"?><XcosDiagram background="-1" title="Exmp4_25"><!--Xcos - 1.0 - scilab-5.4.1 - 20130329 1751--><mxGraphModel as="model"><root><mxCell id="7885b2d3:13fcd69e879:-7fa0"/><mxCell id="7885b2d3:13fcd69e879:-7fa1" parent="7885b2d3:13fcd69e879:-7fa0"/><BasicBlock dependsOnT="1" id="7885b2d3:13fcd69e879:-7f82" interfaceFunctionName="NPN" parent="7885b2d3:13fcd69e879:-7fa1" simulationFunctionName="NPN" simulationFunctionType="DEFAULT" style="NPN;flip=false;mirror=false"><ScilabString as="exprs" height="17" width="1"><data column="0" line="0" value="50"/><data column="0" line="1" value="0.1"/><data column="0" line="2" value="1.e-16"/><data column="0" line="3" value="0.02"/><data column="0" line="4" value="0.12e-9"/><data column="0" line="5" value="5e-9"/><data column="0" 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\ No newline at end of file diff --git a/1691/CH2/EX2.26/exmp2_26.sce b/1691/CH2/EX2.26/exmp2_26.sce new file mode 100755 index 000000000..be3de8c3f --- /dev/null +++ b/1691/CH2/EX2.26/exmp2_26.sce @@ -0,0 +1,27 @@ +//Example 2.26
+clc
+disp("(1) f = 1 / 2*pi*sqrt(L*C_eq)")
+ceq=(100*500)/600
+format(7)
+disp(ceq,"Where C_eq(in pF) = C1*C2 / C1+C2 =")
+f=(1/(2*%pi*sqrt(40*83.333*10^-15)))*10^-3
+format(8)
+disp(f,"f(in kHz) =")
+disp("(2) The input voltage is not required for the oscillator. The feedback voltage, which is the part of the output voltage is enough to drive the oscillator")
+disp("V0 = 10 V")
+disp("For Colpitts oscillator, gain = C2 / C1")
+gain=500/100
+disp(gain,"Therefore, Gain =")
+fv=10/5
+disp(fv,"Therefore, Feedback voltage(in V) = V0 / Gain =")
+disp("(3) Minimum gain = C2/C1 = 5")
+disp("h_fe(min) = C2/C1 = 5")
+disp("(4) Gain = 10 = C2/C1")
+c1=500/10
+disp(c1,"Therefore, C1(in pF) =")
+disp("(5) For C1 = 50 pF and C2 = 500 pF")
+ceq=(50*500)/550
+format(8)
+disp(ceq,"Where C_eq(in pF) = C1*C2 / C1+C2 =")
+f=(1/(2*%pi*sqrt(40*45.4545*10^-15)))*10^-3
+disp(f,"f(in kHz) = 1 / 2*pi*sqrt(L*C_eq) =")
diff --git a/1691/CH2/EX2.27/exmp2_27.sce b/1691/CH2/EX2.27/exmp2_27.sce new file mode 100755 index 000000000..c46038c5d --- /dev/null +++ b/1691/CH2/EX2.27/exmp2_27.sce @@ -0,0 +1,18 @@ +//Example 2.27
+clc
+disp("The frequency required is, f = 1 MHz and for FET, u = 20")
+disp("Now u = C2/C1 for oscillations")
+disp("Therefore, 20 = C2/C1")
+disp("Therefore, C2 = 20*C1 ....(1)")
+disp("Let C1 = 0.01 uF hence C2 = 0.2 uF")
+ceq=((0.01*0.2)/(0.21))*10^3
+format(7)
+disp(ceq,"Therefore, C_eq(in nF) = C1*C2 / C1+C2 =")
+disp("Now f = 1 / 2*pi*sqrt(L*C_eq)")
+l=(1/(((2*%pi*1*10^6)^2)*(9.5238*10^-9)))*10^6
+format(5)
+disp(l,"Therefore, L(in uH) =")
+disp("The baising resistances can be selected as,")
+disp("R1 = 12 M-ohm and R2 = 8 M-ohm")
+disp("These resistances must be large")
+disp("The designed circuit is shown in the fig 2.59")
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\ No newline at end of file diff --git a/1691/CH2/EX2.28/exmp2_28.sce b/1691/CH2/EX2.28/exmp2_28.sce new file mode 100755 index 000000000..a6935cd00 --- /dev/null +++ b/1691/CH2/EX2.28/exmp2_28.sce @@ -0,0 +1,8 @@ +//Example 2.28
+clc
+leq=500+5000+600
+format(5)
+disp(leq,"L_eq(in uH) = L1 + L2 + 2M =")
+f=(1/(2*%pi*sqrt(150*6100*10^-18)))*10^-3
+format(9)
+disp(f,"f(in kHz) = 1 / 2*pi*sqrt(C*L_eq) =")
diff --git a/1691/CH2/EX2.29/exmp2_29.sce b/1691/CH2/EX2.29/exmp2_29.sce new file mode 100755 index 000000000..65e2abac5 --- /dev/null +++ b/1691/CH2/EX2.29/exmp2_29.sce @@ -0,0 +1,12 @@ +//Example 2.29
+clc
+disp("L_s = 0.8 H, C_s = 0.08 pF, R_s = 5 k-ohm, C_M = 1 pF")
+fs=(1/(2*%pi*sqrt(0.8*0.08*10^-12)))*10^-3
+format(9)
+disp(fs,"f_s(in kHz) = 1 / 2*pi*sqrt(C_s*L_s) =")
+ceq=(0.08*10^-12)/1.08
+format(11)
+disp(ceq,"C_eq(in F) = C_M*C_s / C_M+C_s =")
+fp=(1/(2*%pi*sqrt(0.8*7.4074*10^-14)))*10^-3
+format(9)
+disp(fp,"Therefore, f_p(in kHz) = 1 / 2*pi*sqrt(C*L_eq) =")
diff --git a/1691/CH2/EX2.3/exmp2_3.sce b/1691/CH2/EX2.3/exmp2_3.sce new file mode 100755 index 000000000..bb72c16d6 --- /dev/null +++ b/1691/CH2/EX2.3/exmp2_3.sce @@ -0,0 +1,6 @@ +//Example 2.3
+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/1691/CH2/EX2.31/exmp2_31.sce b/1691/CH2/EX2.31/exmp2_31.sce new file mode 100755 index 000000000..bf78deb0e --- /dev/null +++ b/1691/CH2/EX2.31/exmp2_31.sce @@ -0,0 +1,11 @@ +//Example 2.31
+clc
+disp("The series and parallel resonating frequencies are,")
+disp("f_s = 1 / 2*pi*sqrt(C*L) while f_p = 1 / 2*pi*sqrt(L*C_eq)")
+disp("f_p/f_s = 1/2*pi*sqrt(L*C_eq) * 2*pi*sqrt(LC) = sqrt(c/C_eq) but C_eq = C*C_M/C+C_M")
+fp=sqrt(1+(0.04/2))
+format(8)
+disp(fp,"f_p/f_s = sqrt(C/(C*C_M/C+C_M)) = sqrt(C*(C+C_M)/C*C_M) = sqrt(1+(C/C_M)) =")
+disp("f_p = 1.00995*f_s")
+inc=0.00995*100
+disp(inc,"Therefore, %increase = (1.00995*f_s-f_s / f_s)*100 =")
diff --git a/1691/CH2/EX2.32/exmp2_32.sce b/1691/CH2/EX2.32/exmp2_32.sce new file mode 100755 index 000000000..c1d0f0e12 --- /dev/null +++ b/1691/CH2/EX2.32/exmp2_32.sce @@ -0,0 +1,14 @@ +//Example 2.32
+clc
+disp("C = 20 pF, L2 = 1000 uH, L1 = 100 uH, M = 20 uH")
+leq=100+1000+40
+format(5)
+disp(leq,"Therefore, L_eq(in uH) = L1 + L2 + 2M =")
+f=(1/(2*%pi*sqrt(1140*20*10^-18)))*10^-6
+format(6)
+disp(f,"Therefore, f(in MHz) = 1 / 2*pi*sqrt(L_eq*C) =")
+disp("The feedback fraction beta is given by,")
+b=100/1100
+format(7)
+disp(b,"beta = V_f/V0 = X_L1 / X_L1+X_L2 = L1 / L1+L2 =")
+disp("It is a Hartley oscillator")
diff --git a/1691/CH2/EX2.33/exmp2_33.sce b/1691/CH2/EX2.33/exmp2_33.sce new file mode 100755 index 000000000..a58718a58 --- /dev/null +++ b/1691/CH2/EX2.33/exmp2_33.sce @@ -0,0 +1,17 @@ +//Example 2.33
+clc
+disp("Using the expression of the frequency,")
+disp("f = 1 / 2*pi*RC*sqrt(6)")
+c=(1/(2*%pi*10*sqrt(6)*10^6))*10^9
+format(7)
+disp(c,"Therefore, C(in nF) =")
+disp("For FET phase shift oscillator,")
+disp("|A| = g_m*R_L and |A| >= 29")
+rl=(29/5000)*10^3
+format(4)
+disp(rl,"Therefore, g_m*R_L >= 29 i.e. R_L(in k-ohm) >=")
+disp("With R_L = 5.8 k-ohm,")
+disp("R_L = R_D*r_d / R_D+r_d")
+rd=40/5.8965
+format(7)
+disp(rd,"Therefore, R_D(in k-ohm) =")
diff --git a/1691/CH2/EX2.34/exmp2_34.sce b/1691/CH2/EX2.34/exmp2_34.sce new file mode 100755 index 000000000..c6469849e --- /dev/null +++ b/1691/CH2/EX2.34/exmp2_34.sce @@ -0,0 +1,16 @@ +//Example 2.34
+clc
+disp("The name of the oscillator is Pierce oscillator")
+disp("C1 = 1000 pF, C2 = 100 pF, f_s = 1 MHz")
+ceq=(1000*100*10^-12)/1100
+format(11)
+disp(ceq,"C_eq(in F) = C1*C2 / C1+C2 =")
+disp("At resonance, X_L = X_Ceq i.e. 2*pi*f*L = 1 / 2*pi*f*C_eq")
+l=(1/(((2*%pi*10^6)^2)*(90.909*10^-12)))*10^6
+format(4)
+disp(l,"Therefore, L(in uH) = 1/(2*pi*f)^2*C_eq =")
+disp("The fig 2.61(a) shows the electrical equivalent of the crystal")
+disp("At series resonance,")
+disp("X_L = X_C for crystal")
+disp("Therefore, C = 90.909 pF for crystal")
+disp("The mounting capacitance is about 1 to 2 pF")
diff --git a/1691/CH2/EX2.36/exmp2_36.sce b/1691/CH2/EX2.36/exmp2_36.sce new file mode 100755 index 000000000..71fefb29b --- /dev/null +++ b/1691/CH2/EX2.36/exmp2_36.sce @@ -0,0 +1,17 @@ +//Example 2.36
+clc
+disp("f = 2 kHz")
+disp("f = 1/ 2*pi*R*c*sqrt(6) ...For phase shift oscillator")
+disp("Choose C = 1 nF")
+r=(1/(2*%pi*2*sqrt(6)*10^-6))*10^-3
+format(7)
+disp(r,"Therefore, r(in k-ohm) =")
+disp("Select FET with g_m = 5000 us and r_d = 50 k-ohm")
+disp("For phase shift oscillator, |A| >= 29 and |A| = g_m*R_L")
+disp("Therefore, g_m*R_L >= 29")
+rl=(29/(5000*10^-6))*10^-3
+disp(rl,"i.e. R_L(in k-ohm) >= 29/g_m >=")
+disp("Select R_L = 6.8 k-ohm")
+disp("But R_L = R_D*r_d / R_D+r_d")
+rd=7.87
+disp(rd,"Therefore, R_D(in k-ohm) =")
diff --git a/1691/CH2/EX2.4/exmp2_4.sce b/1691/CH2/EX2.4/exmp2_4.sce new file mode 100755 index 000000000..15d1dc18f --- /dev/null +++ b/1691/CH2/EX2.4/exmp2_4.sce @@ -0,0 +1,9 @@ +//Example 2.4
+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/1691/CH2/EX2.5/exmp2_5.sce b/1691/CH2/EX2.5/exmp2_5.sce new file mode 100755 index 000000000..ef10188dd --- /dev/null +++ b/1691/CH2/EX2.5/exmp2_5.sce @@ -0,0 +1,20 @@ +//Example 2.5
+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/1691/CH2/EX2.6/exmp2_6.sce b/1691/CH2/EX2.6/exmp2_6.sce new file mode 100755 index 000000000..21b3f66c3 --- /dev/null +++ b/1691/CH2/EX2.6/exmp2_6.sce @@ -0,0 +1,11 @@ +//exmaple 2.6
+clc
+disp("The circuit is Wien bridge oscillator using op-amp. The gain of the op-amp is")
+a=1+3
+disp(a,"A = 1 + R3/R4 =")
+disp("So A > 3")
+disp("This satisfies the required oscillating condition. The feedback is given to non-inverting terminal ensuring the zero phase shift. Hence the circuit will work as the oscillator.")
+f=1/(2*%pi*5.1*0.001)
+format(8)
+disp(f,"f(in kHz) = 1 / 2*pi*R*C =")
+disp("This will be the frequency of oscillations")
diff --git a/1691/CH2/EX2.7/exmp2_7.sce b/1691/CH2/EX2.7/exmp2_7.sce new file mode 100755 index 000000000..344dc89bb --- /dev/null +++ b/1691/CH2/EX2.7/exmp2_7.sce @@ -0,0 +1,13 @@ +//Example 2.7
+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/1691/CH2/EX2.8/exmp2_8.sce b/1691/CH2/EX2.8/exmp2_8.sce new file mode 100755 index 000000000..e3a51ab0f --- /dev/null +++ b/1691/CH2/EX2.8/exmp2_8.sce @@ -0,0 +1,16 @@ +//Example 2.8
+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(in kHz) = 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/1691/CH2/EX2.9/exmp2_9.sce b/1691/CH2/EX2.9/exmp2_9.sce new file mode 100755 index 000000000..e1dc2d99b --- /dev/null +++ b/1691/CH2/EX2.9/exmp2_9.sce @@ -0,0 +1,10 @@ +//Example 2.9
+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) =")
|