A spherical capacitor with inner radius 'a' and outer radius 'b' is filled with a dielectric of permittivity . A second spherical capacitor with inner radius 'b' and outer radius 'c' is filled with a dielectric of permittivity . If these two capacitors are connected in series, what is the equivalent capacitance of the combination?
\frac{8\pi\epsilon abc}{2b^2 - 3ab + ac}
\frac{4\pi\epsilon abc}{2b^2 - ab + ac}
\frac{8\pi\epsilon abc}{b^2 - 2ab + 2ac}
\frac{4\pi\epsilon abc}{b^2 - ab + c}
Related Questions
64 identical spheres of charge and capacitance each are combined to form a large sphere. The charge and capacitance of the large sphere is
64q, C
q, 4C
64q, 4C
q, C
If the plates of a parallel plate capacitor connected to a battery are moved closer to each other, which of the following quantities will increase?
The charge stored and the energy stored
The energy stored and the potential difference
The capacitance and the potential difference
The ratio of charge to potential and the energy stored
Assertion (A) : When an uncharged capacitor is charged by a battery, only of the energy supplied by a battery is stored in the capacitor.
Reason (R): Rest is lost.
Both A and R are true and R is the correct explanation of A
Both A and R are true but R is NOT the correct explanation of A
A is true but R is false
A is false but R is true
A capacitor of capacitance C is charged to a potential difference V and then connected across an uncharged capacitor of capacitance 2C. When the system reaches equilibrium, what is the total electrostatic energy stored in the system?
(1/2)CV^2
(1/3)CV^2
(1/6)CV^2
(2/3)CV^2
An electric dipole is placed at an angle of with an electric field of intensity It experiences a torque equal to 4 Nm. Calculate the charge on the dipole if the dipole length is 2 cm:-
If the charge on a capacitor is doubled, the value of its capacitance will be
Doubled
Halved
Remain the same
None of these
When a lamp is connected in series with capacitor, then
The lamp will light up initially and then go out when a DC source is used, while it may glow dimly or brightly with an AC source depending on the frequency and capacitance.
The lamp will not light up at all with either a DC or AC source.
The lamp will light up brightly and steadily with both DC and AC sources.
The lamp will only light up with a DC source, not with an AC source.
A potential difference of is applied to a combination of and capacitors connected in series. The charge on the capacitor is
A capacitor of unknown capacitance is connected across a battery of volt. The charge stored in it becomes coulomb. When potential across the capacitor is reduced by volt, the charge stored in it becomes coulomb. The capacitance is
Two capacitors of capacitance and are charged to a potential of each. They are now connected to each other, with the positive plate of each joined to the negative plate of the other. The potential difference across each will be
2 V
4 V
6 V
8 V
