From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 608/CH32/EX32.03/32_03.sce | 34 ++++++++++++++++++++++++++++++++++ 1 file changed, 34 insertions(+) create mode 100755 608/CH32/EX32.03/32_03.sce (limited to '608/CH32/EX32.03') diff --git a/608/CH32/EX32.03/32_03.sce b/608/CH32/EX32.03/32_03.sce new file mode 100755 index 000000000..b4998c6bd --- /dev/null +++ b/608/CH32/EX32.03/32_03.sce @@ -0,0 +1,34 @@ +//Problem 32.03: Use the superposition theorem to obtain the current flowing in the (4 + i3) ohm impedance of Figure 32.16. + +//initializing the variables: +rv1 = 30; // in volts +rv2 = 30; // in volts +thetav1 = 45; // in degrees +thetav2 = -45; // in degrees +R1 = 4; // in ohm +R2 = 4; // in ohm +R3 = %i*3; // in ohm +R4 = -1*%i*10; // in ohm + +//calculation: +//voltage +V1 = rv1*cos(thetav1*%pi/180) + %i*rv1*sin(thetav1*%pi/180) +V2 = rv2*cos(thetav2*%pi/180) + %i*rv2*sin(thetav2*%pi/180) +//The network is redrawn with V2 removed, as shown in Figure 32.17. +//Current I1 and I2 are shown in Figure 32.17. From Figure 32.17, +Re1 = R4*(R2 + R3)/(R4 + R3 + R2) +Re2 = Re1 + R1 +//current +I1 = V1/Re2 +I2 = (R4/(R2 + R3 + R4))*I1 +//The original network is redrawn with V1 removed, as shown in Figure 32.18 +//Currents I3 and I4 are shown in Figure 32.18. From Figure 32.18, +Re3 = R1*(R2 + R3)/(R1 + R3 + R2) +Re4 = Re3 + R4 +I3 = V2/Re4 +I4 = (R1/(R2 + R3 + R1))*I3 +//If the network of Figure 32.18 is superimposed on the network of Figure 32.17, it can be seen that the current in the (4+i3) ohm impedance is given by +Ir4i3 = I2 - I4 + +printf("\n\n Result \n\n") +printf("\ncurrent in the (4 + i3) ohm impedance of the network is %.3f + (%.3f)i A",real(Ir4i3), imag(Ir4i3)) \ No newline at end of file -- cgit