An RLC circuit has a resistance of 200 $\Omega$ an inductance of 15 mH, and a capacitance of 34 nF.At time t = 0 the charge on the capacitor is 25 µC and there is no current flowing.After five complete cycles the energy stored in the capacitor is:
A)0.64 µJ
B)77 µJ
C)0.49 mJ
D)1.8 mJ
E)9.2 mJ

Question

An RLC circuit has a resistance of 200  $\Omega$  an inductance of 15 mH, and a capacitance of 34 nF.At time t = 0 the charge on the capacitor is 25 µC and there is no current flowing.After five complete cycles the energy stored in the capacitor is:
A)0.64 µJ
B)77 µJ
C)0.49 mJ
D)1.8 mJ
E)9.2 mJ

Quizplus · Accepted Answer

The energy stored in the capacitor after five complete cycles is calculated using the formula for energy in a capacitor, $E = \frac{1}{2} C V^2$, where $V$ is the voltage across the capacitor. Given the initial charge $Q = 25 \, \mu C$ and capacitance $C = 34 \, nF$, the initial energy is $E = \frac{1}{2} \times 34 \times 10^{-9} \times \left(\frac{25 \times 10^{-6}}{34 \times 10^{-9}}\right)^2$, which simplifies to approximately 0.64 µJ.

An RLC Circuit Has a Resistance of 200 Ω\OmegaΩ An Inductance of 15 MH, and a Capacitance of 34

An RLC Circuit Has a Resistance of 200 $\Omega$ An Inductance of 15 MH, and a Capacitance of 34