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 a circuit element is 23+2i volts and the current through the element is 4-5i amperes, determine the impedance. The impedance is Z=square (Type your answer in the form a+bi

Question

Answer 1

To determine the impedance

of the circuit element, we need to divide the phasor voltage

by the phasor current

. Given:

The impedance

is calculated as:

To simplify this expression, we multiply the numerator and the denominator by the complex conjugate of the denominator. The complex conjugate of

is

.So, we have:

First, calculate the denominator:

Next, calculate the numerator:

Now, divide the numerator by the denominator:

Therefore, the impedance

is:

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