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JEE PHYSICS MCQ: ELECTRIC POTENTIAL AND CAPACITANCE

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A parallel plate capacitor having capacitance

C

Farad is connected with a battery of emf V volts. Keeping the capacitor connected with the battery, a dielectric slab of dielectric constant

\mathrm{K}

is inserted between the plates. The dimensions of the slab are such that it fills the space between the capacitor plates, consider the following statements
(i) Potential difference between the capacitor plates remains the same
(ii) The capacitance increases by a factor

K

(iii) The energy stored increases by a factor

\mathrm{K}

Then the correct statements are -

View answer and explanation

Correct option: C

(i), (ii), (iii)

Option C ((i), (ii), (iii)) is correct because when a dielectric is inserted with the battery connected, the potential remains constant, capacitance increases by K, and energy stored increases by K.

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The potential at a point distance

x

\mu \mathrm{m}

) due to some charges situated on the

x

axis is given by

V(x)=\frac{20}{x^2-5} \mathrm{V}

. The electric field at

x=5 \mu \mathrm{m}

is given by: A parallel plate capacitor is connected to a 5V battery and charged. The battery is then disconnected and a glass slab is introduced between the plates. Then, the quantities that decrease are A conducting sphere of radius

R

is given a charge

Q

. The electric potential and the electric field at the centre of the sphere respectively are Two capacitors when connected in series have a capacitance of

3\mu F,\,

and when connected in parallel have a capacitance of

16\mu F

. Their individual capacities are Statement-1: If temperature is increased, the dielectric constant of a polar dielectric decreases whereas that of a non-polar dielectric does not change significantly.
Statement-2: The magniude of dipole moment of individual polar molecule decreases significantly with increase in temperature. An electric dipole when placed in a uniform electric field

E

will have minimum potential energy, if the positive direction of dipole moment makes the following angle with

E