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

Question

2 years ago

12

I = 3 + 2i and a resistance Z = 2 – i, what is the voltage of the circuit?
4 – i
4 + i
8 + i
8 + 7i

1 answer:

tangare [24] · Answer 1 · 2024-01-12T19:04:05+03:00

The voltage of the circuit is 8 + i . Option C

<h3>How to determine the voltage</h3>

From the information given, we have that;

E = IZ

Where;

We have that;

I = 3 + 2i

Z = 2 - i

Substitute into the formula

E = IZ

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

Making the product of complex numbers we have:

E = ( 3 × 2 - i ) + ( 4i - 2i²)

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

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

E = 8 + i

Thus, the voltage of the circuit is 8 + i . Option C

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