In polar coordinates, what is the impedance...

Question 1 / 27070ZUN3kNjwshiaGOox8a0S

Question 1 of 27070ZUN3kNjwshiaGOox8a0S

In polar coordinates, what is the impedance of a network composed of a 400-ohm-reactance capacitor in series with a 300-ohm resistor?

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Question 1 of 27070

In polar coordinates, what is the impedance of a network composed of a 400-ohm-reactance capacitor in series with a 300-ohm resistor?

🔍 Key Concepts

• Impedance of a series RC circuit (resistor + capacitor) in rectangular form • Conversion from rectangular coordinates (R + jX) to polar coordinates (magnitude and phase angle) • Sign of the phase angle for capacitive vs. inductive reactance

💭 Think About

• First write the impedance in rectangular form using the given resistor and capacitive reactance. What does that look like as R + jX? • How do you compute the magnitude of a vector whose real part is R and imaginary part is X? Which answer choices match that magnitude? • For a capacitor, is the reactance plotted above or below the real axis on the complex plane, and how does that affect the sign of the angle?

✅ Before You Answer

• Be sure you are using capacitive reactance (negative imaginary part) when writing the impedance in rectangular form. • Carefully compute the magnitude using the Pythagorean theorem and compare it to the magnitudes in the choices. • Determine whether the phase angle should be positive or negative for a circuit where the capacitive reactance dominates.

Question 1 of 27070

In polar coordinates, what is the impedance of a network composed of a 400-ohm-reactance capacitor in series with a 300-ohm resistor?

240 ohms, /36.9 degrees

240 ohms, /-36.9 degrees

500 ohms, /-53.1 degrees

500 ohms, /53.1 degrees

Question 1 / 27070ZUN3kNjwshiaGOox8a0S

Question 1 of 27070ZUN3kNjwshiaGOox8a0S

In polar coordinates, what is the impedance of a network composed of a 400-ohm-reactance capacitor in series with a 300-ohm resistor?

Back

Question 1 of 27070

In polar coordinates, what is the impedance of a network composed of a 400-ohm-reactance capacitor in series with a 300-ohm resistor?