A sensitive instrument that can be modeled by the series \(R L C\) circuit shown in Figure P7=71 is to be protected by a fuse. The voltage across the capacitor is
\[
v_{\mathrm{C}}(t)=e^{-10 t}(-\cos 103 t+0.0971 \sin 103 t) u(t) \mathrm{V}
\]
The peak current was found to occur at about \(13 \mathrm{~ms}\) after \(t=0\). Engineer A suggests a 10-mA fuse, Engineer B suggests a 5-mA fuse, while Engineer C suggests a 1-mA fuse. The criterion is to select a fuse that is closest to the peak value of current expected without blowing. Which engineer is correct? Provide evidence for your decision.

Transcribed Image Text:

1u(t) V is(1) (+1) 9 +vc(t)= -O 92.5 Fuse Instrument 1 H