Back to ELECTRIC POTENTIAL AND CAPACITANCE

JEE PHYSICS MCQ: ELECTRIC POTENTIAL AND CAPACITANCE

1 Medium

1 of 1

Application +4 | -1

A series combination of

\text{N}_1

capacitors (each of capacity

\text{C}_1

) is charged to potential difference

3 \mathrm{~V}.

Another parallel combination of

\mathrm{N}_2

capacitors (each of capacity

\text{C}_2

) is charged to potential difference

\text{V}.

The total energy stored in both the combinations is same. The value of

\text{C}_1

in terms of

\text{C}_2

is

View answer and explanation

Correct option: A

\frac{\mathrm{C}_2 \mathrm{N}_1 \mathrm{N}_2}{9}

Option A (

\frac{\mathrm{C}_2 \mathrm{N}_1 \mathrm{N}_2}{9}

) is correct because equating the energies stored in the series and parallel combinations allows us to solve for C1 in terms of C2, N1, and N2.

More Questions from ELECTRIC POTENTIAL AND CAPACITANCE

Practice All Chapter MCQs →

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