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

Find the magnitude of the electric field at the point P in the configuration shown in the figure for d >> a. - Physics

Advertisements
Advertisements

प्रश्न

Find the magnitude of the electric field at the point P in the configuration shown in the figure for d >> a.

संख्यात्मक
Advertisements

उत्तर

Taking

\[P = 2qa, E = \frac{1}{4\pi \in_0} . \frac{q}{d^2}\]
\[  E_1 \sin  \theta =  E_2   sin\theta\] 

\[\text{ So},   E =  E_1 \cos  \theta +  E_2 cos\theta\] 

\[ =  E_1   cos\theta +  E_2   cos\theta\] 

\[ = 2 E_1   \cos  \theta\] 

\[ = 2 . \frac{1}{4\pi \in_0} . \frac{qa}{( d^2 + a^2 )^{3/2}}\] 

\[ = \frac{1}{4\pi \in_0} . \frac{p}{d^3}  [\text{ since }   a <  < d]\]

shaalaa.com

Notes

Figure is missing in the question .

  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Electric Field and Potential - Exercises [पृष्ठ १२४]

APPEARS IN

एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 7 Electric Field and Potential
Exercises | Q 73 | पृष्ठ १२४

संबंधित प्रश्न

Consider a system of n charges q1, q2, ... qn with position vectors `vecr_1,vecr_2,vecr_3,...... vecr_n`relative to some origin 'O'. Deduce the expression for the net electric field`vec E` at a point P with position vector `vecr_p,`due to this system of charges.


Why does a phonograph record attract dust particles just after it is cleaned?


When the separation between two charges is increased, the electric potential energy of the charges


If a body is charged by rubbing it, its weight


Which of the following quantities does not depend on the choice of zero potential or zero potential energy?


A 10-cm long rod carries a charge of +50 μC distributed uniformly along its length. Find the magnitude of the electric field at a point 10 cm from both ends of the rod.


Consider a uniformly charged ring of radius R. Find the point on the axis where the electric field is maximum.

 

A ball of mass 100 g and with a charge of 4.9 × 10−5 C is released from rest in a region where a horizontal electric field of 2.0 × 104 N C−1 exists. (a) Find the resultant force acting on the ball. (b) What will be the path of the ball? (c) Where will the ball be at the end of 2 s?


An electric field  \[\vec{E}  = ( \vec{i} 20 +  \vec{j} 30)   {NC}^{- 1}\]  exists in space. If the potential at the origin is taken to be zero, find the potential at (2 m, 2 m).

 

An electric field  \[\vec{E}  =  \vec{i}\]  Ax exists in space, where A = 10 V m−2. Take the potential at (10 m, 20 m) to be zero. Find the potential at the origin.


Which of the following methods can be used to charge a metal sphere positively without touching it? Select the most appropriate.


For distance far away from centre of dipole the change in magnitude of electric field with change in distance from the centre of dipole is ______.

Two identical blocks are kept on a frictionless horizontal table connected by a spring of stiffness k and of original length l0. A total charge Q is distributed on the block such that maximum elongation of spring at equilibrium is equal to x. Value of Q is ______.


In general, metallic ropes are suspended on the carriers taking inflammable materials. The reason is ______.


The electric field intensity produced by the radiations coming from 100 W bulb at 3 m distance is E. The electric field intensity produced by the radiations coming from 50 W bulb at the same distance is:


The Electric field at a point is ______.

  1. always continuous.
  2. continuous if there is no charge at that point.
  3. discontinuous only if there is a negative charge at that point.
  4. discontinuous if there is a charge at that point.

Five charges, q each are placed at the corners of a regular pentagon of side ‘a’ (Figure).

(a) (i) What will be the electric field at O, the centre of the pentagon?

(ii) What will be the electric field at O if the charge from one of the corners (say A) is removed?

(iii) What will be the electric field at O if the charge q at A is replaced by –q?

(b) How would your answer to (a) be affected if pentagon is replaced by n-sided regular polygon with charge q at each of its corners?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×