By R. A. Ashen

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9 Circuit for nodal analysis ererice and labelled 0, and the three other junctions have been labelled 1,2, and 3. The three potentials to be calculated are strictly V 1 , 0V 2 , 0 and V 30 respectively, but since node 0 is c o m m o n , the doublesubscript notation may be dropped and the voltages called V 1? V 2, and V 3 without ambiguity. Equations are developed by applying Kirchhoff's current law at junctions 1, 2, and 3 in turn. This law states simply that At any junction in an electrical network, the algebraic sum of the currents is zero.

21711299 0. 2320863 0. 24705961 0. c. circuit analysis Program notes (1) F r o m lines 20 to 60, D A T A and R E A D statements are employed to store resistivity and temperature coefficient values for the three materials in arrays S and A respectively. N o t e that array subscripts start from 0, and hence that S(2) consists of the three elements S(0), S(l), and S(2). (2) At line 210, D in m m is converted to m before the factor K of length/cross-sectional-area for the particular wire dimensions is calculated at line 220.

Consideration of the right hand side shows the loop current I x t o be multiplied by Z A+ Z B, the total impedance in loop 1. Z Bis also multiplied by I 2because it is c o m m o n t o both loops 1 a n d 2. T h e negative sign for Z Bl 2 indicates that current 2 is in opposition to current 1, o r that they pass through the c o m m o n impedance in opposite directions. 10 follows similarly. f. in loop 2, a n d the negative sign indicates that it acts in the opposite direction t o the loop current.

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