In rectangular coordinates, what is the...

Question 1 / 27070aXsMtRLSlxPOMNZvcGya

Question 1 of 27070aXsMtRLSlxPOMNZvcGya

In rectangular coordinates, what is the impedance of a network composed of a 1.0-millihenry inductor in series with a 200-ohm resistor, at 30 kHz?

Back

Question 1 of 27070

In rectangular coordinates, what is the impedance of a network composed of a 1.0-millihenry inductor in series with a 200-ohm resistor, at 30 kHz?

🔍 Key Concepts

• Inductive reactance formula for an inductor at a given frequency • How impedance of a resistor and inductor in series combines in rectangular form • Sign convention for inductive reactance in complex impedance (jX)

💭 Think About

• First, compute the inductive reactance of the 1.0-millihenry inductor at 30 kHz using the appropriate formula; what value do you get? • Once you know the reactance, how do you write the total series impedance of a resistor and an inductor in rectangular form? • For an inductor, should the imaginary part of the impedance be positive or negative, and how does that affect your choice?

✅ Before You Answer

• Convert 1.0 millihenry correctly to henries before calculating reactance (unit conversion). • Use the correct formula for inductive reactance: X_L = 2π f L and verify your arithmetic. • Confirm that the real part equals the resistance and the imaginary part equals the inductive reactance with the correct sign before matching to the choices.

Question 1 of 27070

In rectangular coordinates, what is the impedance of a network composed of a 1.0-millihenry inductor in series with a 200-ohm resistor, at 30 kHz?

200 - j188

200 + j188

188 + j200

188 - j200