In rectangular coordinates, what is the...

Question 1 / 27070L9IVbLThP0EaN6XnWt5l

Question 1 of 27070L9IVbLThP0EaN6XnWt5l

In rectangular coordinates, what is the impedance of a network composed of a 0.001-microfarad capacitor in series with a 400-ohm resistor, at 500 kHz?

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Question 1 of 27070

In rectangular coordinates, what is the impedance of a network composed of a 0.001-microfarad capacitor in series with a 400-ohm resistor, at 500 kHz?

🔍 Key Concepts

• Impedance of a series RC circuit at a given frequency • Formula for capacitive reactance: Xc = 1 / (2π f C) • Representation of impedance in rectangular form: R ± jX

💭 Think About

• First, compute the capacitive reactance Xc at 500 kHz using the given capacitance. Is the reactance larger or smaller than the resistor value? • Determine whether the reactance of a capacitor is positive or negative on the imaginary axis in impedance form. • For a series circuit, how do resistance and reactance combine in rectangular form – do you add them directly, and how are they written as R ± jX?

✅ Before You Answer

• Carefully convert 0.001 microfarad into farads before calculating Xc. • Verify the sign of capacitive reactance in impedance (is it +jXc or -jXc?). • Confirm that the final rectangular impedance is written as R ± jX, where R is the resistance and X is the net reactance.

Question 1 of 27070

In rectangular coordinates, what is the impedance of a network composed of a 0.001-microfarad capacitor in series with a 400-ohm resistor, at 500 kHz?

318 - j400

400 + j318

318 + j400

400 - j318