Multiplicaton and Division in Polar Form Assume [latex]Z_1=2.828 \angle 45^{\circ}[/latex] and [latex]Z_2=3 \angle 30^{\circ}[/latex], calculate [latex]Z_1 Z_2[/latex] and [latex]Z_1 / Z_2[/latex]

[latex]\begin{aligned}Z_1 \times Z_2 &=(2.828 \times 3) \angle\left(45^{\circ}+30^{\circ}\right)=8.484 \angle 75^{\circ} \\\frac{Z_1}{Z_2} &=\frac{2.828}{3} \angle\left(45^{\circ}-30^{\circ}\right)=\frac{2.828}{3} \angle 15^{\circ}=0.9427 \angle 15^{\circ}\end{aligned}[/latex]

Question C.5: Multiplicaton and Division in Polar Form Assume Z1 = 2.828∠4...

Electrical Engineering: Concepts and Applications

Multiplicaton and Division in Polar Form

Assume $Z_1=2.828 \angle 45^{\circ}$ and $Z_2=3 \angle 30^{\circ}$ , calculate $Z_1 Z_2$ and $Z_1 / Z_2$

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