Consider the arrangement shown in figure. The total energy stored is $U_1$ when key is closed. Now the key $K$ is made off (opened) and two dielectric slabs of relative permittivity ${ \in _r}$ are introduced between the plates of the two capacitors. The slab tightly fit in between the plates. The total energy stored is now $U_2$. Then the ratio of $U_1/U_2$ is
Consider the arrangement shown in figure. The total energy stored is $U_1$ when key is closed. Now the key $K$ is made off (opened) and two dielectric slabs of relative permittivity ${ \in _r}$ are introduced between the plates of the two capacitors. The slab tightly fit in between the plates. The total energy stored is now $U_2$. Then the ratio of $U_1/U_2$ is
- A
$\frac{{2{ \in _r}}}{{1\, + \, \in _r^2}}$
- B
${ \in _r}$
- C
$\frac{1}{{{ \in _r}}}$
- D
$\frac{{{ \in _r}}}{{1\, + \, \in _r}}$
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- [AIIMS 2009]
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