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Diffstat (limited to '1445/CH2/EX2.1')
-rw-r--r-- | 1445/CH2/EX2.1/Ex2_1.sce | 31 |
1 files changed, 31 insertions, 0 deletions
diff --git a/1445/CH2/EX2.1/Ex2_1.sce b/1445/CH2/EX2.1/Ex2_1.sce new file mode 100644 index 000000000..5e008ab00 --- /dev/null +++ b/1445/CH2/EX2.1/Ex2_1.sce @@ -0,0 +1,31 @@ +//CHAPTER 2- STEADY-STATE ANALYSIS OF SINGLE-PHASE A.C. CIRCUIT +//Example 1 + +disp("CHAPTER 2"); +disp("EXAMPLE 1"); + +//Find the Form Factor of the half-wave rectified sine wave as shown in Fig 2.20 +//Peak value of voltage is Vm +//Period is 2pi +//v=Vm sinwt for 0<wt<pi +//v=0 for pi<wt<2pi + +//SOLUTION + +//average value Vav by integrating v over 0 to pi and pi to 2pi and dividing by 2pi +//assume Vm=1, as value not given +//The second term of integration not computed as v=0 on the range pi to 2pi +v_av=(integrate('sin(x)','x',0,%pi))/(2*%pi); + +//rms value +//assume Vm=1, as value not given +v_rms=(integrate('sin(x)^2','x',0,%pi))/(2*%pi); +v_rms=sqrt(v_rms); + +ff=v_rms/v_av; +//truncate the answer to 3 digits while displaying: +disp(sprintf("The form factor is %4.3f",ff));//The answer in the textbook is wrongly shown as 1.572 + +//END + + |