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Capacitor question

2014 · Shift 1 · Q42

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JEE Advanced
Physics
Capacitor
2014 · Shift 1 · Q42

Capacitor question

2014 · Shift 1 · Q42

JEE AdvancedPhysicsCapacitorMultiple correct+3 / −1

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. JEE Advanced 2014 Paper 1 Offline Physics - Capacitor Question 16 English

JEE Advanced 2014 Paper 1 Offline Physics - Capacitor Question 16 English

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
${C \over {{C_1}}} = {{2 + K} \over K}$

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