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13-04-2020
Mathematics

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Using the formula [tex]Z=\frac{V}{I}[/tex] where V is 220, the current is I, and Z is the impedance, find the current if the impedance is 10-5i watts with steps.

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amna04352 amna04352

13-04-2020

Answer:

17.6 + 8.8i

Step-by-step explanation:

Z = V ÷ I

10 - 5i = 220 ÷ I

I = 220 ÷ (10 - 5i)

I = 44 ÷ (2 - i)

I = 44×(2 + i) ÷ (2 - i)(2 + i)

I = (88 + 44i) ÷ (2² + 1²)

I = (88 + 44i) ÷ 5

I = 17.6 + 8.8i

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