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Scrat [10]
3 years ago
5

The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current

I = 3 + 2i and a resistance Z = 2 – i, what is the voltage of the circuit?. a. 4 – i. b. 4 + i. c. 8 + i. d. 8 + 7i
Physics
2 answers:
Alex787 [66]3 years ago
7 0

By definition, we have to:

E = IZ

Where,

E: voltage

I: current

Z: Resistance

To calculate the voltage value, we must replace the following values in the given equation:

I = 3 + 2i\\Z = 2 - i

We have then:

E = (3 + 2i) (2 - i)

Making the product of complex numbers we have:

E = (3 * 2 - 3i) + (4i - 2i ^ 2)\\E = (6 - 3i) + (4i - 2 (-1))\\E = (6 - 3i) + (4i +2)

E = (6 + 2) + (4-3) i\\E = 8 + i

Answer:

the voltage of the circuit is:

E = 8 + i

option C

goldfiish [28.3K]3 years ago
3 0
The correct answer is C. 8 + i
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