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? 4 - i

4 + i

8 + i

8 + 7i

Question

Mathematics

Jayden Mathis

1 April, 16:45

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? 4 - i

4 + i

8 + i

8 + 7i

+3

Answers (1)

Know the Answer?

Matilda Kline · Answer 1

The voltage of the circuit is 8 + i

Step-by-step explanation:

∵ E = IZ

∵ I = 3 + 2i

∵ Z = 2 - i

∴ E = (3 + 2i) (2 - i) = 6 - 3i + 4i - 2i²

∴ E = 6 + i - 2 (-1) ⇒ i² = - 1

∴ E = 6 + i + 2 = 8 + i

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? 4 - i4 + i8 + i8 + 7i

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? 4 - i

4 + i

8 + i

8 + 7i