Question

the impedance Z, in ohms, of a circuit element is defined as the ratio of the phasor voltage V, in volts, across the element to the phasor current I, in amperes, through the elements. That is, Z = V/I. If the voltage across the circuit element is 35+13i volts and the current through the element is 5-3i amperes, determine the impedance.

Answer 1

The impedance of the circuit element is (4 + 5i) ohms

Impedance

Impedance is a measure of the opposition to electrical flow in an alternating current circuit. The unit of impedance is ohms. It is given by:

Impedance (Z) = Voltage (V) / Current (I)

Given that V = 35 + 13i, I = 5 - 3i, hence:

Z = (35 + 13i) / 5 - 3i

Z = (4 + 5i) ohms

The impedance of the circuit element is (4 + 5i) ohms

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