The amplitude of the charge oscillating in a circuit decreases exponentially as \(\mathrm{Q=Q_{0}e}^{-Rt/2L}\) where \({Q}_0\) is the charge at \({t}=0~\text{s}.\)The time at which charge amplitude decreases to \(0.50~{Q}_0\) is nearly:
\((\text{Given that}~ {R=1.5~\Omega,~L=12~\text{mH},~\text{ln}(2)=0.693})\)
1. \(19.01~\text{ms}\)
2. \(11.09~\text{ms}\)
3. \(19.01~\text s\)
4. \(11.09~\text s\)
Subtopic:  RC Circuit (OLD NCERT) |
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The figure shows a circuit that contains three identical resistors with resistance \(R = 9.0~\Omega\) each, two identical inductors with inductance \(L = 2.0~\text{mH}\) each, and an ideal battery with emf \(\varepsilon = 18~\text{V}\). The current \('i'\) through the battery just after the switch is closed will be:
  
1. \(0.2~\text{A}\)
2. \(2~\text{A}\)
3. \(4~\text{A}\)
4. \(2~\text{mA}\)

Subtopic:  RC Circuit (OLD NCERT) |
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