SOLUTION: Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in

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Question 1172557: Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula.
Find E, the voltage of a circuit, if I = (8 + 3i) amperes and R = (5 + 3i) ohms.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula.
Find E, the voltage of a circuit, if I = (8 + 3i) amperes and R = (5 + 3i) ohms.
:
E = I * R, therefore
E = (8+3i)*(5+3i)
foil
E = 40 + 24i + 15i +9i^2
E = 40 + 39i + 9(-1)
E = 40 - 9 + 39i
E = 31 + 39i