SOLUTION: Electricity - In an AC circuit, the voltage E ( in volts), current I ( in amps), and impedance Z ( in ohms) are related by the formula E = I . Z. Find the current in a circuit wi

Question 540148: Electricity - In an AC circuit, the voltage E ( in volts), current I ( in amps), and impedance Z ( in ohms) are related by the formula E = I . Z. Find the current in a circuit with voltage 10 - 3j volts and impedance 4+ j ohms.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Electricity - In an AC circuit, the voltage E ( in volts), current I ( in amps), and impedance Z ( in ohms) are related by the formula E = I . Z. Find the current in a circuit with voltage 10 - 3j volts and impedance 4+ j ohms.
-----------------------------
E = I*Z
(10-3j) = I*(4+j)
-----------------------
I = (10-3j)/(4+j)
---
Multiply numerator and denominator by (4-j) to get:
I = [(10-3j)(4-j)]/[(4+j)(4-j)]
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I = [(40-3) -(10+12)j] / [16+1]
----
I = (37 - 22j)/17
----
I = (37/17) - (22/17)j
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Cheers,
Stan H.
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