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Diffstat (limited to '608/CH36/EX36.09/36_09.sce')
-rwxr-xr-x | 608/CH36/EX36.09/36_09.sce | 52 |
1 files changed, 52 insertions, 0 deletions
diff --git a/608/CH36/EX36.09/36_09.sce b/608/CH36/EX36.09/36_09.sce new file mode 100755 index 000000000..1eb397a7f --- /dev/null +++ b/608/CH36/EX36.09/36_09.sce @@ -0,0 +1,52 @@ +//Problem 36.09: A supply voltage v given by
+// v = 240sin314t + 40sin942t + 30sin1570t Volts
+//is applied to a circuit comprising a resistance of 12 ohm connected in series with a coil of inductance 9.55 mH. Determine (a) an expression to represent the instantaneous value of the current, (b) the rms voltage, (c) the rms current, (d) the power dissipated, and (e) the overall power factor.
+
+//initializing the variables:
+V1m = 240; // in volts
+V3m = 40; // in volts
+V5m = 30; // in volts
+w1 = 314; // fundamental
+R = 12; // in ohm
+L = 0.00955; // in Henry
+
+//calculation:
+//fundamental or first harmonic
+//inductive reactance,
+XL1 = w1*L
+//impedance at the fundamental frequency,
+Z1 = R + %i*XL1
+//Maximum current at fundamental frequency
+I1m = V1m/Z1
+I1mag = (real(I1m)^2 + imag(I1m)^2)^0.5
+phii1 = atan(imag(I1m)/real(I1m))
+//Third harmonic
+XL3 = 3*XL1
+//impedance at the third harmonic frequency,
+Z3 = R + %i*XL3
+//Maximum current at third harmonic frequency
+I3m = V3m/Z3
+I3mag = (real(I3m)^2 + imag(I3m)^2)^0.5
+phii3 = atan(imag(I3m)/real(I3m))
+//fifth harmonic
+XL5 = 5*XL1
+//impedance at the third harmonic frequency,
+Z5 = R + %i*XL5
+//Maximum current at third harmonic frequency
+I5m = V5m/Z5
+I5mag = (real(I5m)^2 + imag(I5m)^2)^0.5
+phii5 = atan(imag(I5m)/real(I5m))
+//rms voltage
+Vrms = ((V1m^2 + V3m^2 + V5m^2)/2)^0.5
+//rms current
+Irms = ((I1mag^2 + I3mag^2 + I5mag^2)/2)^0.5
+//power dissipated
+P = R*Irms^2
+//overall power factor
+pf = P/(Vrms*Irms)
+
+printf("\n\n Result \n\n")
+printf("\n(b)the rms value of current is %.2f A",Irms)
+printf("\n(c)the rms value of voltage is %.2f V",Vrms)
+printf("\n(d)the total power dissipated %.0f W",P)
+printf("\n(e)overall power factor %.3f",pf)
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