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Diffstat (limited to '1544/CH2/EX2.7/Ch02Ex7.sce')
-rwxr-xr-x | 1544/CH2/EX2.7/Ch02Ex7.sce | 56 |
1 files changed, 56 insertions, 0 deletions
diff --git a/1544/CH2/EX2.7/Ch02Ex7.sce b/1544/CH2/EX2.7/Ch02Ex7.sce new file mode 100755 index 000000000..83390f284 --- /dev/null +++ b/1544/CH2/EX2.7/Ch02Ex7.sce @@ -0,0 +1,56 @@ +// Scilab code Ex2.7: Pg 46 (2008)
+clc; clear;
+E = 18; // E.m.f of battery, V
+R1 = 4; // Resistance, ohm
+R2 = 6; // Resistance, ohm
+R3 = 5; // Resistance, ohm
+R4 = 3; // Resistance, ohm
+R5 = 6; // Resistance, ohm
+R6 = 8; // Resistance, ohm
+// Part (a)
+// Since resistance R1 & R2 are in parallel, therefore, equivalent resistance across branch AB will be equal to the reciprocal of the sum of conductances ( 1/Ressistance) of individual resistances present in the circuit i.e 1/R_AB = 1/R1 + 1/R2, simplifying for R_AB
+R_AB = ( R1*R2 )/( R1 + R2); // Resistance, ohm
+R_BC = R3; // Resistance across branch BC, ohm
+// Since resistance R4, R5 & R6 are in parallel, therefore, equivalent resistance across branch CD will be equal to the reciprocal of the sum of conductances ( 1/Ressistance) of individual resistances present in the circuit i.e 1/R_CD = 1/R4 + 1/R5 + 1/R6, simplifying for R _CD
+R_CD = ( R4*R5*R6 )/( R4*R5 + R5*R6 + R6*R4 ); // Resistance, ohm
+// Since R_AB, R_BC & R_CD forms series combination, therefore circuit resistance will be their series sum
+R = R_AB + R_BC + R_CD; // Circuit resistance, ohm
+I = E/R; // Supply current, A
+// Part (b)
+// AS resistances R1 & R2 are parallel, therefore tere will be same potential difference across them, denoted by V_AB
+V_AB = I*R_AB; // Potential difference, V
+// AS resistances R4, R5 & R6 are parallel, therefore tere will be same potential difference across them, denoted by V_CD
+V_CD = I*R_CD; // Potential difference, V
+V_BC = I*R_BC; // Potential difference, V
+// Part (c)
+I1 = V_AB/R1; // Current through R1 resistor, A
+I2 = V_AB/R2; // Current through R2 resistor, A
+I4 = V_CD/R4; // Current through R4 resistor, A
+I5 = V_CD/R5; // Current through R5 resistor, A
+I6 = V_CD/R6; // Current through R6 resistor, A
+// Part (d)
+P3= I^2*R3; // Power dissipated, W
+printf("\nThe current drawn from the source = %1d A", I);
+printf("\nThe p.d. across resistor %1d ohm & %1d ohm = %3.1f V", R1, R2, V_AB);
+printf("\nThe p.d. across resistor %1d ohm, %1d ohm & %1d ohm = %3.1f V", R4, R5, R6, V_CD);
+printf("\nThe p.d. across resistor %1d ohm = %2d V", R3, V_BC);
+printf("\nThe current through resistor %1d ohm = %3.1f A", R1, I1);
+printf("\nThe current through resistor %1d ohm = %3.1f A", R2, I2);
+printf("\nThe current through resistor %1d ohm = %1d A", R3, I);
+printf("\nThe current through resistor %1d ohm = %5.3f A", R4, I4);
+printf("\nThe current through resistor %1d ohm = %5.3f A", R5,I5);
+printf("\nThe current through resistor %1d ohm = %3.1f A", R6, I6);
+printf("\nThe power dissipated by the %1d ohm resistor = %2d W", R3, P3);
+
+// Result
+// The current drawn from the source = 2 A
+// The p.d. across resistor 4 ohm & 6 ohm = 4.8 V
+// The p.d. across resistor 3 ohm, 6 ohm & 8 ohms = 3.2 V
+// The p.d. across resistor 5 ohm = 10 V
+// The current through resistor 4 ohm = 1.2 A
+// The current through resistor 6 ohm = 0.8 A
+// The current through resistor 5 ohm = 2 A
+// The current through resistor 3 ohm = 1.067 A
+// The current through resistor 6 ohm = 0.533 A
+// The current through resistor 8 ohm = 0.4 A
+// The power dissipated by the 5 ohm resistor = 20 W
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