Question

For each matrix, let row 1 correspond to loop 1, row 2 correspond to loop 2, and so on. Also, enter positive values for positive voltages and negative values for negative voltages. What is the rule for assigning rows to loops in a matrix?

1) Row 1 corresponds to loop 1, Row 2 corresponds to loop 2, and so on
2) Row 1 corresponds to loop 2, Row 2 corresponds to loop 1, and so on
3) Row 1 corresponds to loop 1, Row 2 corresponds to loop 3, and so on
4) Row 1 corresponds to loop 3, Row 2 corresponds to loop 1, and so on

Answer 1

Rows in a matrix correspond to loop numbers in circuit analysis using Kirchhoff's rules, with Row 1 to loop 1, Row 2 to loop 2, etc. This systematic approach aids in solving electrical circuits accurately.

Step-by-step explanation:

When assigning rows to loops in a matrix, especially in the context of applying Kirchhoff’s rules to solve electrical circuits, the convention is to associate each row with a corresponding loop number. This means that Row 1 corresponds to loop 1, Row 2 corresponds to loop 2, and so on, maintaining a direct and ordered relationship between row numbers and loop numbers. This convention helps in systematically organizing the equations that arise from applying the junction rule (Kirchhoff's first rule) and the loop rule (Kirchhoff's second rule) for solving the circuit. When applying the loop rule, it is crucial to be consistent with the signs of the potential changes as you traverse each element in the direction chosen, which could be either clockwise or counterclockwise.