1
JEE Advanced 2014 Paper 1 Offline
MCQ (More than One Correct Answer)
+3
-0
A parallel plate capacitor has a dielectric slab of dielectric constant $$K$$ between its plates that covers $$1/3$$ of the area of its plates, as shown in the figure. The total capacitance of the capacitor is $$C$$ while that of the portion with dielectric in between is $${C_1}.$$ When the capacitor is charged, the plate area covered by the dielectric gets charge $${Q_1}$$ and the rest of the area gets charge $${Q_2}.$$ The electric field in the dielectric is $${E_1}$$ and that in the other portion is $${E_2}.$$ Choose the correct option/ options, ignoring edge effects.

A
$${{{E_1}} \over {{E_2}}} = 1$$
B
$${{{E_1}} \over {{E_2}}} = {1 \over K}$$
C
$${{{Q_1}} \over {{Q_2}}} = {3 \over K}$$
D
$${C \over {{C_1}}} = {{2 + K} \over K}$$
2
JEE Advanced 2013 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
In the circuit shown in the figure, there are two parallel plate capacitors each of capacitance $$C.$$ The switch $${S_1}$$ is pressed first to fully charge the capacitor $${C_1}$$ and then released. The switch $${S_2}$$ is then pressed to charge the capacitor $${C_2}.$$ After some time, $${S_2}$$ is released and then $${S_3}$$ is pressed. After some time
A
The charge on the upper plate of $${C_1}$$ is $$2C{V_0}$$
B
The charge on the upper plate of $${C_1}$$ is $$C{V_0}$$
C
The charge on the upper plate of $${C_2}$$ is $$0$$
D
The charge on the upper plate of $${C_2}$$ is $$- C{V_0}$$
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