Post Utme Uniben 2019 Physics Question 37

Practice objective / multiple choice question 37 from the 2019 Post Utme Uniben Physics examination.

Post Utme Uniben 2019 Physics Objective / Multiple Choice
Question 37 POST_UTME_UNIBEN • 2019 • PHYSICS • objective
Post Utme Uniben 2019 Physics Question 37 diagram

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an alternating voltage source with angular frequency $\omega$, the impedance of the circuit is given by $Z = \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}$. Which of the following expressions for the phase angle $\phi$ is correct?

Answer Options

Correct Answer A. \( \phi = \arc\tan{\frac{\omega L - \frac{1}{\omega C}}{R}} \)
B. \( \phi = \arc\tan{\frac{R}{\omega L - \frac{1}{\omega C}}} \)
C. \( \phi = \arc\tan{\frac{R}{\omega L + \frac{1}{\omega C}}} \)
D. \( \phi = \arc\tan{\frac{\omega L + \frac{1}{\omega C}}{R}} \)
Correct Answer
A
Correct Option:
\( \phi = \arc\tan{\frac{\omega L - \frac{1}{\omega C}}{R}} \)

About This Question

This is Post Utme Uniben 2019 Physics Question 37. It is one of the objective questions from the 2019 Post Utme Uniben Physics examination.

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