मराठी

An electric dipole of length 1 cm, which placed with its axis making an angle of 60° with uniform electric field, experience a torque of 6 √ 3 N m . Calculate the potential energy - Physics

Advertisements
Advertisements

प्रश्न

An electric dipole of length 1 cm, which placed with its axis making an angle of 60° with uniform electric field, experience a torque of \[6\sqrt{3} Nm\] . Calculate the potential energy of the dipole if it has charge ±2 nC.

Advertisements

उत्तर

Torque,

\[\tau = \text { PEsin }\theta = \left( Ql \right)\text { Esin }\theta\]
Here, l is the length of the dipole, Q is the charge and E is the electric field.
Potential energy,
\[U = - \text { PEcos }\theta = - \left( Ql \right)\text { Ecos }\theta\]
Dividing (2) by (1):

\[\frac{\tau}{U} = \frac{\left( Ql \right)E\sin\theta}{- \left( Ql \right)E\cos\theta} = - \tan\theta\]

\[ \Rightarrow U = - \frac{\tau}{\tan\theta}\]

\[ \Rightarrow U = - \frac{\tau}{\tan {60}^o}\]

\[ \Rightarrow U = - \frac{6\sqrt{3}}{\sqrt{3}}\]

\[ \Rightarrow U = - 6 J\]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2013-2014 (March) Delhi Set 3

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

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?


Three charges are arranged on the vertices of an equilateral triangle, as shown in the figure. Find the dipole moment of the combination. 


Answer the following question.

What is the unit of dipole moment?


The electric field at a point on the equatorial plane at a distance r from the centre of a dipole having dipole moment `vec "p"` is given by, (r >> separation of two charges forming the dipole, `epsilon_0 - ` permittivity of free space) ____________.


On the axis and on the equator of an electric dipole for all points ____________.


An electric dipole of moment p is placed parallel to the uniform electric field. The amount of work done in rotating the dipole by 90° is ____________.


Polar molecules are the molecules ______.


Polar molecules are the molecules ______.


Two charges –q each are fixed separated by distance 2d. A third charge q of mass m placed at the mid-point is displaced slightly by x(x << d) perpendicular to the line joining the two fixed charged as shown in figure. Show that q will perform simple harmonic oscillation of time period.

`T = [(8pi^3 ε_0 md^3)/q^2]^(1/2)`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×