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

Step-by-step 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

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign