Which expression gives the impedance magnitude of an AC series circuit with R, XL, and Xc?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Enhance your understanding of the fundamentals of electricity with the AMT General Exam. Study with multiple-choice questions crafted to improve your knowledge and confidence. Prepare effectively for your success!

Multiple Choice

Which expression gives the impedance magnitude of an AC series circuit with R, XL, and Xc?

Explanation:
In an AC series circuit with a resistor, inductor, and capacitor, the impedance combines a real part and an imaginary part: Z = R + j(XL − Xc). The magnitude is found from the Pythagorean relation |Z| = sqrt(R^2 + (XL − Xc)^2) because the real component is R and the net reactive component is XL − Xc. This gives the correct magnitude, matching sqrt(R^2 + (XL − Xc)^2). The other forms either treat the reactive parts incorrectly or ignore them, so they don’t represent the impedance magnitude properly.

In an AC series circuit with a resistor, inductor, and capacitor, the impedance combines a real part and an imaginary part: Z = R + j(XL − Xc). The magnitude is found from the Pythagorean relation |Z| = sqrt(R^2 + (XL − Xc)^2) because the real component is R and the net reactive component is XL − Xc. This gives the correct magnitude, matching sqrt(R^2 + (XL − Xc)^2). The other forms either treat the reactive parts incorrectly or ignore them, so they don’t represent the impedance magnitude properly.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy