Final answer:
To calculate the voltage V using formula V=IZ with I=(7+2i) and Z=(-1-3i), we multiply the complex numbers to get V = -1 - 23i. This result does not match any of the provided options, indicating a potential error in the question or provided options.
Step-by-step explanation:
To find the voltage at a specific point using the formula V=IZ, where I=(7+2i) and Z=(-1-3i), we need to perform the multiplication of these two complex numbers.
To multiply two complex numbers, we use the distributive property:
- Multiply the real parts together.
- Multiply the real part of the first number by the imaginary part of the second, and vice versa.
- Multiply the imaginary parts together and remember that i² = -1.
The calculation is as follows:
V = (7 + 2i)(-1 - 3i) = -7 - 21i - 2i + 6 = -7 + 6 - (21i + 2i) = -1 - 23i
Thus, the voltage at the specific point is V = -1 - 23i, which does not match any of the given options A to D, suggesting a possible error in the question or the options provided.