Question

There are no results for The impedance Z in an AC (alternating current) circuit is a measure of how much the circuit impedes (hinders) the flow of current through it.The impedance is related to the voltage and the current by the formula V = IZ.If a circuit has a current of (0.4 + 3.0i) amps and an impedance of (0.3 – 2.0i) ohms, find the voltage. Options: A) 0.7+i B) .07+5i C) 0.1+5i D) 6.12+1i

Answer 1

Explanation:

If the impedance is related to the voltage and the current by the formula V = IZ where;

V is the voltage

I is the current

Z is the impedance

Given

I = 0.4+3i

V = 0.3-2i

Voltage V = (0.4+3i)(0.3-2i)

V = 0.4(0.3)-0.8i+0.9i-6i²

V = 0.12+0.1i -6i²

Since i² = -1

V = 0.12+0.1i-6(-1)

V = 0.12+0.1i+6

V = 6.12+0.1i.

Hence the impedance is 6.12+0.1i