A) \[Q/2\]
B) \[Q/\sqrt{3}\]
C) \[Q/\sqrt{2}\]
D) Q
Correct Answer: C
Solution :
| [c] 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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