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| author | priyanka | 2015-06-24 15:03:17 +0530 |
|---|---|---|
| committer | priyanka | 2015-06-24 15:03:17 +0530 |
| commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
| tree | ab291cffc65280e58ac82470ba63fbcca7805165 /174/CH4/EX4.2 | |
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initial commit / add all books
Diffstat (limited to '174/CH4/EX4.2')
| -rwxr-xr-x | 174/CH4/EX4.2/example4_2.sce | 55 | ||||
| -rwxr-xr-x | 174/CH4/EX4.2/example4_2.txt | 4 |
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diff --git a/174/CH4/EX4.2/example4_2.sce b/174/CH4/EX4.2/example4_2.sce new file mode 100755 index 000000000..bf2a5ce0b --- /dev/null +++ b/174/CH4/EX4.2/example4_2.sce @@ -0,0 +1,55 @@ +// To design Ayrton shunt
+// Modern Electronic Instrumentation And Measurement Techniques
+// By Albert D. Helfrick, William D. Cooper
+// First Edition Second Impression, 2009
+// Dorling Kindersly Pvt. Ltd. India
+// Example 4-2 in Page 57
+
+
+clear; clc; close;
+
+// Given data
+I_1 = 1; //Full scale currents of the ammeter in amp
+I_2 = 5;
+I_3 = 10;
+R_m = 50; //Internal resistance of the movement(the coil) in ohm
+I_m = 1*(10^-3); //Full scale deflection of the movement in ampere
+
+//Calculations
+// On the 1-A range:
+I_s1 = I_1 - I_m; // calculating current through shunt
+//Using the eq. R_s = I_m * R_m/ I_s
+//1 R_a +R_b +R_c = I_m * R_m/ I_s; // As (R_a +R_b +R_c) are parallel with R_m
+
+// On the 5-A range
+I_s2 = I_2 - I_m;
+//2 R_a +R_b = I_m * (R_c +R_m)/ I_s; // As (R_a+R_b) in parallel with (R_c+R_m)
+
+// On the 10-A range
+I_s3 = I_3 - I_m;
+//3 R_a = I_m * (R_b +R_c +R_m)/ I_s; // As R_a is parallel with (R_b +R_c +R_m)
+
+
+//Solving the 3 simultaneous linear equations
+function y = rr(R);
+y(1)= R(1) +R(2) +R(3) - (I_m * R_m/ I_s1);
+y(2)= R(1) +R(2) -(I_m * (R(3) +R_m)/ I_s2);
+y(3)= R(1) -(I_m * (R(2) +R(3) +R_m)/ I_s3);
+endfunction
+
+answer = fsolve([0.1;0.1;0.1],rr);
+R_a = answer([1]);
+R_b = answer([2]);
+R_c = answer([3]);
+
+disp('The different resistors used for the ayrton shunt for different ranges are:');
+printf("R_a = %f ohm\n",R_a);
+printf("R_b = %f ohm\n",R_b);
+printf("R_c = %f ohm",R_c);
+
+//Result
+// The different resistors used for the ayrton shunt for different ranges are:
+// R_a = 0.005005 ohm
+// R_b = 0.005005 ohm
+// R_c = 0.040040 ohm
+
diff --git a/174/CH4/EX4.2/example4_2.txt b/174/CH4/EX4.2/example4_2.txt new file mode 100755 index 000000000..e8ecc9572 --- /dev/null +++ b/174/CH4/EX4.2/example4_2.txt @@ -0,0 +1,4 @@ + The different resistors used for the ayrton shunt for different ranges are:
+R_a = 0.005005 ohm
+R_b = 0.005005 ohm
+R_c = 0.040040 ohm
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