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Diffstat (limited to '3830/CH6/EX6.1/Ex6_1.sce')
-rw-r--r-- | 3830/CH6/EX6.1/Ex6_1.sce | 40 |
1 files changed, 40 insertions, 0 deletions
diff --git a/3830/CH6/EX6.1/Ex6_1.sce b/3830/CH6/EX6.1/Ex6_1.sce new file mode 100644 index 000000000..7a6e42123 --- /dev/null +++ b/3830/CH6/EX6.1/Ex6_1.sce @@ -0,0 +1,40 @@ +// Exa 6.1
+
+clc;
+clear;
+
+// Given data
+
+// Refering bridge shown in fig. 6.8
+R1 = 1000; // Ohms
+R2 = 4000; // Ohms
+R3 = 100; // Ohms
+R4 = 400; // Ohms
+Rg = 100; // Ohms
+Si = 100; // Sensitivity in mm/microAmp
+V = 3; // Voltage applied
+R4_imbalance = 1; // resistance added in R4 to create imbalance
+
+// Solution
+
+printf('The bridge is originally in balance. Therefore, R1/R3 = R2/R4 \n');
+printf('Let there be imbalance in the bridge circuit because of increase in value of R4 value by 1 Ohm \n');
+printf('Therefore, R4 = 400+X Ohms \n');
+printf('Thevenins Resistance Rth = (100*1000)/(100+1000) + (4000*(400+X))/(4400+X) \n'); // Rth = R1*R3/(R1+R3) + R2*R4/(R2+R4)
+printf('Neglecting X \n');
+// Therefore
+Rth = R1*R3/(R1+R3) + R2*R4/(R2+R4);
+printf('Rth becomes %d ohms \n',round(Rth));
+printf('Eth = [R3/(R1+R3) + R4/(R2+R4)]*E; \n');
+// Applying binomial expansion and neglecting X2 term, X is small
+// Therefore
+X = R4_imbalance;
+
+Eth = V*10*X/48400;
+printf('Applying binomial expansion, Eth = %.2f µV \n',round(Eth*10^6));
+Ig = Eth/(Rth+Rg); // Galvanometer current
+D = Ig*Si; // Deflection in mm
+printf('Galvanometer Current Ig = %.3f µA \n', Ig*10^6);
+printf('Galvanometer deflection D = %.2f mm \n',D*10^6);
+
+// The answer provided in the textbook is wrong
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