1
JEE Advanced 2023 Paper 1 Online
+3
-1
A container has a base of $50 \mathrm{~cm} \times 5 \mathrm{~cm}$ and height $50 \mathrm{~cm}$, as shown in the figure. It has two parallel electrically conducting walls each of area $50 \mathrm{~cm} \times 50 \mathrm{~cm}$. The remaining walls of the container are thin and non-conducting. The container is being filled with a liquid of dielectric constant 3 at a uniform rate of $250 \mathrm{~cm}^3 \mathrm{~s}^{-1}$. What is the value of the capacitance of the container after 10 seconds?

[Given: Permittivity of free space $\epsilon_0=9 \times 10^{-12} \mathrm{C}^2 \mathrm{~N}^{-1} \mathrm{~m}^{-2}$, the effects of the non-conducting walls on the capacitance are negligible]

A
$27 ~\mathrm{pF}$
B
$63 ~\mathrm{pF}$
C
$81 ~\mathrm{pF}$
D
$135 ~\mathrm{pF}$
2
IIT-JEE 2012 Paper 2 Offline
+4
-1
In the given circuit, a charge of $$+80$$ $$\mu C$$ is given to the upper plate of the $$4$$ $$\mu F$$ capacitor. Then in the steady state, the charge on the upper plate of the $$3$$ $$\mu F$$ capacitor is
A
$$+ \,32\,\mu C$$
B
$$+ \,40\,\mu C$$
C
$$+ \,48\,\mu C$$
D
$$+ \,80\,\mu C$$
3
IIT-JEE 2011 Paper 1 Offline
+2
-0.5
A $$2$$ $$\mu F$$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch $$S$$ is turned to position $$2$$ is
A
$$0\%$$
B
$$20\%$$
C
$$75\%$$
D
$$80\%$$
EXAM MAP
Medical
NEET