Post Utme Oau 2022 Physics Question 17

Practice objective / multiple choice question 17 from the 2022 Post Utme Oau Physics examination.

Post Utme Oau 2022 Physics Objective / Multiple Choice
Question 17 POST_UTME_OAU • 2022 • PHYSICS • objective
Post Utme Oau 2022 Physics Question 17 diagram

A circuit consists of a resistor $R_1 = 10 \Omega$, an inductor $L = 5 \text{H}$, a capacitor $C = 2 \text{F}$, and a voltage source $V = 20 \text{V}$ in series. If the circuit is connected to a switch that is initially open, find the current $i(t)$ in the circuit at time $t = 2 \text{s}$ after the switch is closed.

Answer Options

Correct Answer A. \( i(t) = \frac{V}{R_1} \left\( 1 - e^{-\frac{R_1}{L} t} \right \)
B. \( i(t) = \frac{V}{R_1} \left\( 1 + e^{-\frac{R_1}{L} t} \right \)
C. \( i(t) = \frac{V}{R_1} \left\( 1 - e^{-\frac{R_1}{C} t} \right \)
D. \( i(t) = \frac{V}{R_1} \left\( 1 + e^{-\frac{R_1}{C} t} \right \)
Correct Answer
A
Correct Option:
\( i(t) = \frac{V}{R_1} \left\( 1 - e^{-\frac{R_1}{L} t} \right \)

About This Question

This is Post Utme Oau 2022 Physics Question 17. It is one of the objective questions from the 2022 Post Utme Oau Physics examination.

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