Final answer:
The number of transmission lines in a 4x4 Y bus matrix with 12 non-zero elements is 12.
Step-by-step explanation:
In a 4x4 Y bus matrix, the number of non-zero elements is 12. To find the number of transmission lines, we need to count the number of elements that are not equal to zero. In this case, there are 12 non-zero elements. Each non-zero element represents a transmission line, so the number of transmission lines is 12.
Therefore, the correct answer is d) 12 transmission lines.