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# A resistor R and 2macro farad capacitor is connected through a switch to 200V direct supply. Across the capacitor is a neon bulb that lights up at 120V. find the value of R to make the bulb light up 5 seconds after the switch is closed at t=0

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
$V_{c}=V(1-e^{-t/RC}) \\=>3/5=1-e^{-t/RC} \\=>e^{-t/RC}=2/5 \\=>e^{-5/2*10^{-6}*R}=2/5 \\=>-5/2*10^{-6}*R=ln(2/5) \\=>R=ln(5/2)/(5/2*10^{-6})$

Thanks & Regards
Arun Kumar
IIT Delhi