English
Karnataka Board PUCPUC Science 2nd PUC Class 12

A 12 pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor? - Physics

Advertisements
Advertisements

Question

A 12 pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor?

Numerical
Advertisements

Solution

Capacitor of the capacitance, C = 12 pF = 12 × 10−12 F

Potential difference, V = 50 V

Electrostatic energy stored in the capacitor is given by the relation,

`"E" = 1/2 "CV"^2`

= `1/2 xx 12 xx 10^-12 xx (50)^2`

= `1.5 xx 10^-8  "J"`

Therefore, the electrostatic energy stored in the capacitor is `1.5 xx 10^-8  "J"`.

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Electrostatic Potential and Capacitance - EXERCISES [Page 80]

APPEARS IN

NCERT Physics Part 1 and 2 [English] Class 12
Chapter 2 Electrostatic Potential and Capacitance
EXERCISES | Q 2.10 | Page 80

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Explain what would happen if the capacitor given in previous question a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates,

  1. While the voltage supply remained connected.
  2. After the supply was disconnected.

A 600 pF capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor. How much electrostatic energy is lost in the process?


In the following arrangement of capacitors, the energy stored in the 6 µF capacitor is E. Find the value of the following :
(i) Energy stored in 12 µF capacitor.
(ii) Energy stored in 3 µF capacitor.
(iii) Total energy drawn from the battery.


The energy density in the electric field created by a point charge falls off with the distance from the point charge as


A capacitance C, a resistance R and an emf ε are connected in series at t = 0. What is the maximum value of (a) the potential difference across the resistor (b) the current in the circuit (c) the potential difference across the capacitor (d) the energy stored in the capacitor (e) the power delivered by the battery and (f) the power converted into heat?


How many time constants will elapse before the current in a charging RC circuit drops to half of its initial value? Answer the same question for a discharging RC circuit.


How many time constants will elapse before the charge on a capacitors falls to 0.1% of its maximum value in a discharging RC circuit?


A capacitor of capacitance C is connected to a battery of emf ε at t = 0 through a resistance R. Find the maximum rate at which energy is stored in the capacitor. When does the rate have this maximum value?


By evaluating ∫i2Rdt, show that when a capacitor is charged by connecting it to a battery through a resistor, the energy dissipated as heat equals the energy stored in the capacitor.


Find the charge on each of the capacitors 0.20 ms after the switch S is closed in the figure.


A capacitor with stored energy 4⋅0 J is connected with an identical capacitor with no electric field in between. Find the total energy stored in the two capacitors.


A capacitor of capacitance C is given a charge Q. At t = 0, it is connected to an ideal battery of emf ε through a resistance R. Find the charge on the capacitor at time t.


A point charge Q is placed at the origin. Find the electrostatic energy stored outside the sphere of radius R centred at the origin.


A large conducting plane has a surface charge density `1.0 xx 10^-4  "Cm"^-2` . Find the electrostatic energy stored in a cubical volume of edge 1⋅0 cm in front of the plane.


A 2µF capacitor is charge to 100 volt and then its plate are connected by a conducting wire. The heat produced is:-


What fraction of the energy drawn from the charging battery is stored in a capacitor?


In a capacitor of capacitance 20 µF, the distance between the plates is 2 mm. If a dielectric slab of width 1 mm and dielectric constant 2 is inserted between the plates, what is the new capacitance?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×