The liquid is raising at a rate of 250(cm^3s^{-1}) in the co... | Physics | SolveeIt

Question

The liquid is raising at a rate of 250 $cm^3s^{-1}$ in the container. Value of the capacitance of the container after 10 sec.? ( $\varepsilon_0=9 \times10^{12}C^2N^{-1}m^{-2}$ )
liquid container

$63\times10^{-6}F$

$31.5\times10^{-12}$$F$

$126\times10^{-6}F$

$63\times10^{-12}F$

Answer

$63\times10^{-12}F$

Explanation

Solution

The correct option is (D)
Height of water filled at t =10 sec.
$h=\frac{250\times10}{50\times5}=10\,cm$
$C=\frac{\varepsilon_0}{d}[A_1K_1+A_2K_2]=\frac{9\times10^{-12}}{0.05}[0.5\times0.1\times3+0.5\times0.4\times1]$

the correct option is (D):
$=63\times10^{-12}F$

Physics Question on Combination of capacitors

Solution