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Diffstat (limited to '644/CH1/EX1.4/p4.sce')
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1 files changed, 23 insertions, 0 deletions
diff --git a/644/CH1/EX1.4/p4.sce b/644/CH1/EX1.4/p4.sce new file mode 100644 index 000000000..d63e962de --- /dev/null +++ b/644/CH1/EX1.4/p4.sce @@ -0,0 +1,23 @@ +// Example1.4 An aluminium wire 7.5 m long is connected in a parallel with a copper wire 6 m long. When a current of 5A is passed through the combination, it is found that the current in the aluminium wire is 3 A. The diameter of the aluminium wire is 1 mm. Determine the diameter of the copper wire. Resistivity of copper is 0.017 micro-ohm-metre; that of the aluminium is 0.028 micro-ohm- metre.
+// 1 mm =10^-3m
+// 1 micro-ohm = 10^-6 ohm
+// let the numeral 1 represent aluminium and 2 represent copper.
+//Formulae: R=pl/a ; a=%pi*d^2/4
+l1 = 7.5; //length of aluminium wire (m)
+l2 = 6; // length of copper wire (m)
+i = 5; // total current(amps)
+i1= 3;// current through aluminium wire(amps)
+d1 = 10^-3;// dia. of aluminium wire (m)
+p1 = 0.028*10^-6;// resistivity of aluminium wire(ohm-m)
+p2 = 0.017*10^-6;// resistivity of copper wire(ohm-m)
+// let d2 be the diameter of the copper wire in meters
+i2 = i -i1;// current through copper wire (amps)
+// R1=P1l1/a1 and R2= p2l2/a2, on dividing R2/R1= (p2*l2*a1)/(p1*l1*a2)thus a2= a1*(R1/R2)*(p2/p1)*(l2/l1)----- (equ1)
+// in parallel combination voltage remain same , therefore V= i1R1= i2R2
+//let R2/R1 =m
+m=i2/i1;
+a1= prod([%pi,d1^2])/4;// crossectional area of alluminium wire (m^2)
+a2= prod([a1,m,(p2/p1),(l2/l1)]);// using equ1
+d2=sqrt(prod([4,a2])/%pi); // cal of diameter of copper wire (m)
+ans= prod([d2,10^3])
+disp(ans,"diameter of copper wire(in mm)=")
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