An electric circuit has an inductance $L=0.5 \mathrm{H}$, a resistance $\mathrm{R}=1000 \Omega$, and a capacitance $\mathrm{C}=1.0 \times$ $10^{-6} \mathrm{~F}$. Find the equation for the current $\mathrm{i}$ if the voltage sourœ is $12 \mathrm{~V}$.
A) $i=e^{1000 t}\left(k_{1} \sin 1000 t+k_{2} \cos 1000 t\right)+0.000012$
B) $i=e^{-1000 t}\left(k_{1} \sin 1000 t+k_{2} \cos 1000 t\right)+0.000012$
C) $i=e^{1000 t}\left(k_{1} \sin 1000 t+k_{2} \cos 1000 t\right)$
D) $i=e^{-1000 t}\left(k_{1} \sin 1000 t+k_{2} \cos 1000 t\right)$

Question

Quizplus · Accepted Answer

The Answer of An electric circuit has an inductance $L=0.5 \mathrm{H}$, a resistance $\mathrm{R}=1000 \Omega$, and a capacitance $\mathrm{C}=1.0 \times$ $10^{-6} \mathrm{~F}$. Find the equation for the current $\mathrm{i}$ if the voltage sourœ is $12 \mathrm{~V}$.
A) $i=e^{1000 t}\left(k_{1} \sin 1000 t+k_{2} \cos 1000 t\right)+0.000012$
B) $i=e^{-1000 t}\left(k_{1} \sin 1000 t+k_{2} \cos 1000 t\right)+0.000012$
C) $i=e^{1000 t}\left(k_{1} \sin 1000 t+k_{2} \cos 1000 t\right)$
D) $i=e^{-1000 t}\left(k_{1} \sin 1000 t+k_{2} \cos 1000 t\right)$

An Electric Circuit Has an Inductance L=0.5HL=0.5 \mathrm{H}L=0.5H , a Resistance R=1000Ω\mathrm{R}=1000 \OmegaR=1000Ω

An Electric Circuit Has an Inductance $L=0.5 \mathrm{H}$ , a Resistance $\mathrm{R}=1000 \Omega$