मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान इयत्ता 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 .

  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Electric Field and Potential - Exercises [पृष्ठ १२४]

APPEARS IN

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

संबंधित प्रश्‍न

A hollow cylindrical box of length 1 m and area of cross-section 25 cm2 is placed in a three dimensional coordinate system as shown in the figure. The electric field in the region is given by `vecE = 50xhati` where E is NC­−1 and x is in metres. Find

(i) Net flux through the cylinder.

(ii) Charge enclosed by the cylinder.


The charge on a proton is +1.6 × 10−19 C and that on an electron is −1.6 × 10−19 C. Does it mean that the electron has 3.2 × 10−19 C less charge than the proton? 


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


A point charge q is rotated along a circle in an electric field generated by another point charge Q. The work done by the electric field on the rotating charge in one complete revolution is 


The electric field and the electric potential at a point are E and V, respectively.  


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 particle of mass 1 g and charge 2.5 × 10−4 C is released from rest in an electric field of 1.2 × 10 4 N C−1.   How long will it take for the particle to travel a distance of 40 cm?


A particle of mass 1 g and charge 2.5 × 10−4 C is released from rest in an electric field of 1.2 × 10 4 N C−1. How much is the work done by the electric force on the particle during this period?


Consider the situation of the previous problem. A charge of −2.0 × 10−4 C is moved from point A to point B. Find the change in electrical potential energy UB − UA for the cases (a), (b) and (c). 


Assume that each atom in a copper wire contributes one free electron. Estimate the number of free electrons in a copper wire of mass 6.4 g (take the atomic weight of copper to be 64 g mol−1). 


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


The surface charge density of a thin charged disc of radius R is σ. The value of the electric field at the center of the disc is `sigma/(2∈_0)`. With respect to the field at the center, the electric field along the axis at a distance R from the center of the disc ______.


A charged particle is free to move in an electric field. It will travel ______.

Two similar spheres having +Q and -Q charges are kept at a certain distance. F force acts between the two. If at the middle of two spheres, another similar sphere having +Q charge is kept, then it experiences a force in magnitude and direction as ______.


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:


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×