हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान कक्षा ११

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

Advertisements
Advertisements

प्रश्न

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

संख्यात्मक
Advertisements

उत्तर

Given :
Charge on the sphere = Q

Radius of the sphere = R

Capacitance of the sphere, C = 4πε0R

Thus, the energy of the sphere is given by 

`E = 1/2 CV^2`

= `1/2 xx 4pi∈_0RC = Q_2/(4pi∈_0R)^2`

= `Q^2/(8pi∈_0R)`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Capacitors - Exercises [पृष्ठ १६८]

APPEARS IN

एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 9 Capacitors
Exercises | Q 41 | पृष्ठ १६८

संबंधित प्रश्न

A capacitor C1 of capacitance 1 μF and a capacitor C2 of capacitance 2 μF are separately charged by a common battery for a long time. The two capacitors are then separately discharged through equal resistors. Both the discharge circuits are connected at t = 0.

(a) The current in each of the two discharging circuits is zero at t = 0.

(b) The currents in  the two discharging circuits at t = 0 are equal but not zero.

(c) The currents in the two discharging circuits at t = 0 are unequal.

(d) C1 loses 50% of its initial charge sooner than C2 loses 50% of its initial charge.


Find the charge on the capacitor shown in the figure.


Two capacitors of capacitances 4⋅0 µF and 6⋅0 µF are connected in series with a battery of 20 V. Find the energy supplied by the battery.


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?


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.


Consider the situation shown in figure. The switch is closed at t = 0 when the capacitors are uncharged. Find the charge on the capacitor C1 as a function of time t.


A capacitor of capacitance C is given a charge Q. At t = 0, it is connected to an uncharged capacitor of equal capacitance through a resistance R. Find the charge on the second capacitor as a function of time.


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.


Figure shows two identical parallel plate capacitors connected to a battery through a switch S. Initially, the switch is closed so that the capacitors are completely charged. The switch is now opened and the free space between the plates of the capacitors is filled with a dielectric of dielectric constant 3. Find the ratio of the initial total energy stored in the capacitors to the final total energy stored.


Choose the correct option:

Energy stored in a capacitor and dissipated during charging a capacitor bear a ratio.


A capacitor is a device that stores ____________.


A capacitor is charged by a battery and energy stored is 'U'. Now the battery is removed and the distance between plates is increased to four times. The energy stored becomes ______.


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


Prove that, if an insulated, uncharged conductor is placed near a charged conductor and no other conductors are present, the uncharged body must be intermediate in potential between that of the charged body and that of infinity.


A fully charged capacitor C with initial charge q0​ is connected to a coil of self-inductance L at t = 0. The time at which the energy is stored equally between the electric and magnetic fields is ______.


Derive an expression for energy stored in a capacitor.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×