हिंदी

Two identical capacitors of 12 pF each are connected in series across a battery of 50 V. How much electrostatic energy is stored in the combination? If these were connected in parallel across the same battery, how much energy will be stored in the combination now? Also find the charge drawn from the battery in each case.

Advertisements
Advertisements

प्रश्न

Two identical capacitors of 12 pF each are connected in series across a battery of 50 V. How much electrostatic energy is stored in the combination? If these were connected in parallel across the same battery, how much energy will be stored in the combination now?

Also find the charge drawn from the battery in each case.

Advertisements

उत्तर

Series combination

In series combination, Equivalent capacitance, Ceq would be given as 

`C_"eq"= (C_1C_2)/(C_1+C_2)`

`= (12×12)/(12+12)`

`= 6 pF`


Electrostatic energy stored in the series combination would be 

=`12C_"eq"V^2 `

`= 12×6×10^-12×50^2`

`= 7.5×10^-9 "Joule"`.

Charge drawn from battery in series combination, 

`Q = C_"eq"V`

`= 6×10^-12×50`

`= 3×10^-10 C`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2016-2017 (March) Delhi Set 3

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

A capacitor of capacitance C is charged fully by connecting it to a battery of emf E. It is then disconnected from the battery. If the separation between the plates of the capacitor is now doubled, how will the following change?

(i) charge stored by the capacitor.

(ii) Field strength between the plates.

(iii) Energy stored by the capacitor.

Justify your answer in each case.


A cylindrical capacitor is constructed using two coaxial cylinders of the same length 10 cm and of radii 2 mm and 4 mm. (a) Calculate the capacitance. (b) Another capacitor of the same length is constructed with cylinders of radii 4 mm and 8 mm. Calculate the capacitance.


Find the capacitance of the combination shown in figure between A and B.


A 5⋅0 µF capacitor is charged to 12 V. The positive plate of this capacitor is now connected to the negative terminal of a 12 V battery and vice versa. Calculate the heat developed in the connecting wires.


The figure show a network of five capacitors connected to a 10V battery. Calculate the charge acquired by the 5μF capacitor.


Capacitors P and Q have identical cross-sectional areas A and separation d. The space between the capacitors is filled with a dielectric of dielectric constant Er as shown in the figure. Calculate the capacitance of capacitors P and Q.


A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system ______.


When air is replaced by a dielectric medium of constant K, the maximum force of attraction between two charges separated by a distance ______.


The capacitance of a parallel plate capacitor is 60 µF. If the distance between the plates is tripled and area doubled then new capacitance will be ______.


Two spherical conductors of capacities 4 µF and 3 µF are charged to same potential having radii 4 cm and 3 cm respectively. If ‘σ1’ and ‘σ2’ represent surface density of charge on respective conductors then ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×