A) \[Q/2\]
B) \[Q/\sqrt{3}\]
C) \[Q/\sqrt{2}\]
D) Q
Correct Answer: C
Solution :
In an LC circuit, the energy oscillates between inductor (in the magnetic field) and capacitor (in the electric field). Maximum energy stored in capacitor \[{{U}_{E\max }}=\frac{{{Q}^{2}}}{2C}\] Maximum energy stored in inductor \[{{U}_{B\max }}=\frac{Ll_{0}^{2}}{2}\] where, \[{{l}_{0}}\] is the current at this time. For the given instant \[{{U}_{E}}={{U}_{B}}\] \[i.e.,\] \[\frac{{{q}^{2}}}{2C}=\frac{L{{i}^{2}}}{2}\] From energy conservation \[{{U}_{E}}+{{U}_{8}}={{U}_{E\max }}={{U}_{B\max }}\] \[\Rightarrow \] \[2\frac{{{q}^{2}}}{2C}=\frac{{{Q}^{2}}}{2C}\] \[\Rightarrow \] \[q=\frac{Q}{\sqrt{2}}\]
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