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| author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
|---|---|---|
| committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
| commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
| tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /1319/CH1/EX1.18/1_18.sce | |
| parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
| download | Scilab-TBC-Uploads-7f60ea012dd2524dae921a2a35adbf7ef21f2bb6.tar.gz Scilab-TBC-Uploads-7f60ea012dd2524dae921a2a35adbf7ef21f2bb6.tar.bz2 Scilab-TBC-Uploads-7f60ea012dd2524dae921a2a35adbf7ef21f2bb6.zip | |
initial commit / add all books
Diffstat (limited to '1319/CH1/EX1.18/1_18.sce')
| -rw-r--r-- | 1319/CH1/EX1.18/1_18.sce | 14 |
1 files changed, 14 insertions, 0 deletions
diff --git a/1319/CH1/EX1.18/1_18.sce b/1319/CH1/EX1.18/1_18.sce new file mode 100644 index 000000000..da9005f1f --- /dev/null +++ b/1319/CH1/EX1.18/1_18.sce @@ -0,0 +1,14 @@ +//Expression for the sum of energy stored by inductor and capacitor connected in parallel at resonance
+
+clc;
+clear;
+
+printf('v = Vm * cos(w0*t)\n')
+printf('The energy stored by the capacitor = C*(Vm^2)*(cos(w0*t)^2)\n')
+printf('The energy stored by the inductor = L*(i^2)/2\n\n')
+printf('v = L *(di/dt)\n di = v*dt/L\n (i^2) = [integration of (v/L) wrt dt from 0 to t]^2 \n')
+printf(' = (Vm^2)/(L^2) * (sin(w0*t)^2)/(w0^2) = (Vm/L)^2 * (sin(w0*t)^2) * LC\n')
+printf(' = (Vm^2)*C*(sin(w0*t)^2)/L \n\n')
+printf(' Energy = L*(i^2)/2 = (Vm^2)*C*(sin(w0*t)^2)*L/(L*2)\n')
+printf(' = C/2 * (Vm^2)*(sin(w0*t)^2)\n\n')
+printf(' Therefore total energy = C*(Vm^2)/2 = C*(V^2)\n')
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