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

Two Particles, Carrying Charges −Q and +Q and And of Mass M Each, Are Fixed at the Ends of a Light Rod of Length a to Form a Dipole.

Advertisements
Advertisements

प्रश्न

Two particles, carrying charges −q and +q and and of mass m each, are fixed at the ends of a light rod of length a to form a dipole. The rod is clamped at an end and is placed in a uniform electric field E with the axis of the dipole along the electric field. The rod is slightly tilted and then released. Neglecting gravity, find the time period of small oscillations.  

संख्यात्मक
Advertisements

उत्तर

Consider the rod to be a simple pendulum
Time period of a simple pendulum, 

\[T = 2\pi\sqrt{\frac{l}{a'}}\]

(where l = length and a' = acceleration)

Now

\[a' = \frac{F}{m} = \frac{Eq}{m}\]
and length l = a
∴ The time period, 
\[T = 2\pi\sqrt{\frac{ma}{qE}}\]
shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 29: Electric Field and Potential - Exercises [पृष्ठ १२४]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 29 Electric Field and Potential
Exercises | Q 74 | पृष्ठ १२४

संबंधित प्रश्न

An electric dipole of dipole moment`vecp` consists of point charges +q and −q separated by a distance 2a apart. Deduce the expression for the electric field `vecE` due to the dipole at a distance x from the centre of the dipole on its axial line in terms of the dipole moment `vecp`. Hence show that in the limit x>> a, `vecE->2vecp"/"(4piepsilon_0x^3)`


A system has two charges qA = 2.5 × 10−7 C and qB = −2.5 × 10−7 C located at points A: (0, 0, −15 cm) and B: (0, 0, +15 cm), respectively. What are the total charge and electric dipole moment of the system?


Drive the expression for electric field at a point on the equatorial line of an electric dipole.


A short electric dipole (which consists of two point charges, +q and -q) is placed at the centre 0 and inside a large cube (ABCDEFGH) of length L, as shown in Figure 1. The electric flux, emanating through the cube is:

a) `q"/"4piin_9L`

b) zero

c) `q"/"2piin_0L`

d) `q"/"3piin_0L`


Derive an expression for the intensity of electric field at a point in broadside position or on [4)
an equatorial line of an electric dipole.


Find the resultant electric field due to an electric dipole of dipole moment, 2aq, (2a being the separation between the charges ±± q) at a point distant 'x' on its equator.


A sample of HCI gas is placed in an electric field of 2.5 × 104 NC−1. The dipole moment of each HCI molecule is 3.4 × 10−30 Cm. Find the maximum torque that can act on a molecule. 


In an electric dipole, at which point is the electric potential zero ? 


Answer the following question.

What is the unit of dipole moment?


An electric dipole is placed at an angle of 30° with an electric field intensity of 2 × 105 N/C. It experiences a torque equal to 4 Nm. The charge on the dipole, if the dipole length is 2 cm, is ______.


Electric charges q, q, - 2q are placed at the comers of an equilateral triangle ABC of side l. The magnitude of electric dipole moment of the system is ____________.


The electric field at a point on equatorial line of a dipole and direction of the dipole moment ______.

Debye is the unit of ______.

An electric dipole is placed at an angle of 30° to a non-uniform electric field. The dipole will experience ________.


An electric dipole is placed at the centre of a sphere then ______.

A conic surface is placed in a uniform electric field E as shown in the figure such that the field is perpendicular to the surface on the side AB. The base of the cone is of radius R, and the height of the cone is h. The angle of the cone is θ.

Find the magnitude of the flux that enters the cone's curved surface from the left side. Do not count the outgoing flux (θ < 45°)


Polar molecules are the molecules ______.


Polar molecules are the molecules ______.


The electric field in a region is given by `vec"E" = 2/5"E"_0hat"i"+3/5"E"_0hat"j"` with `"E"_0 = 4.0xx10^3 "N"/"C"`. The flux of this field through a rectangular surface area 0.4 m2 parallel to the Y - Z plane is ______ Nm2C-1.


In an electric dipole, what is the locus of a point having zero potential?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×