Final answer:
To find the voltage V using the formula V=CI with current C=7-3i and impedance I=3+2i, multiply the components accordingly to get V=27+5i volts.
Step-by-step explanation:
To calculate the voltage V in a circuit when given the current C and the impedance I, you use the formula V = CI. When C = 7 - 3i amps and I = 3 + 2i ohms, you perform the multiplication as follows:
V = (7 - 3i) * (3 + 2i)
Multiply the real parts and the imaginary parts separately, and apply the distributive property:
- (7 * 3) + (7 * 2i) + (-3i * 3) + (-3i * 2i)
- 21 + 14i - 9i - 6i2
Since i2 = -1, this simplifies to:
- 21 + 5i - 6(-1)
- 21 + 5i + 6
Therefore, the calculated voltage V equals 27 + 5i volts.