Post Utme Ims U 2018 Physics Question 23

Practice objective / multiple choice question 23 from the 2018 Post Utme Ims U Physics examination.

Post Utme Ims U 2018 Physics Objective / Multiple Choice
Question 23 POST_UTME_IMS_U • 2018 • PHYSICS • objective
Post Utme Ims U 2018 Physics Question 23 diagram

A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The circuit is driven by a voltage source $V_0$ with a frequency $f$. Find the impedance $Z$ of the circuit u\sing the formula $Z = \sqrt{R^2 + \( X_L - X_C \)^2}$, where $X_L = 2\pi f L$ and $X_C = \frac{1}{2\pi f C}$.

Answer Options

A. Z = \sqrt{R^2 + \( 2\pi f L \)^2}
B. Z = \sqrt{R^2 + \left\( \frac{1}{2\pi f C} \right \)^2}
Correct Answer C. Z = \sqrt{R^2 + \left\( 2\pi f L - \frac{1}{2\pi f C} \right \)^2}
D. Z = \sqrt{R^2 + \left\( 2\pi f L + \frac{1}{2\pi f C} \right \)^2}
Correct Answer
C
Correct Option:
Z = \sqrt{R^2 + \left\( 2\pi f L - \frac{1}{2\pi f C} \right \)^2}

About This Question

This is Post Utme Ims U 2018 Physics Question 23. It is one of the objective questions from the 2018 Post Utme Ims U Physics examination.

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