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: Â RC Circuit (OLD NCERT) |
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From NCERT
NEET - 2024
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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: Â RC Circuit (OLD NCERT) |
From NCERT
NEET - 2017
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NEET 2025 - Target Batch
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