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In Some Old Texts It is Mentioned that 4π Lines of Force Originate from Each Unit Positive Charge. Comment on the Statement in View of the Fact that 4π is Not an Integer.

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प्रश्न

In some old texts it is mentioned that 4π lines of force originate from each unit positive charge. Comment on the statement in view of the fact that 4π is not an integer. 

एका वाक्यात उत्तर
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उत्तर

4π is the total solid angle. "4π lines of force" is just a way of stating that the field lines extend uniformly in all directions away from the charge.

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पाठ 29: Electric Field and Potential - Short Answers [पृष्ठ ११९]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 29 Electric Field and Potential
Short Answers | Q 7 | पृष्ठ ११९

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A particle of mass m and charge q is thrown at a speed u against a uniform electric field E. How much distance will it travel before coming to momentary rest ? 


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. What will be the speed of the particle after travelling this distance? 


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?


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The electric potential existing in space is \[\hspace{0.167em} V(x,   y,   z) = A(xy + yz + zx) .\] (a) Write the dimensional formula of A. (b) Find the expression for the electric field. (c) If A is 10 SI units, find the magnitude of the electric field at (1 m, 1 m, 1 m).


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What is the value and unit of Coulomb's constant \[\frac{1}{4\pi\varepsilon_0}\]?


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