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Karnataka Board PUCPUC Science Class 11

The Kinetic Energy of a Charged Particle Decreases by 10 J as It Moves from a Point at Potential 100 V to a Point at Potential 200 V. Find the Charge on the Particle.

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Question

The kinetic energy of a charged particle decreases by 10 J as it moves from a point at potential 100 V to a point at potential 200 V. Find the charge on the particle.  

Numerical
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Solution

By work-energy theorem,
Change in K.E. = Amount of work done
Change in K.E. = 10 J
Let the charge on the particle be q.
Change in potential,

\[∆ V\]  = (200 − 100) V
Work done = \[∆ V \times q\]
\[\Rightarrow 10 = (200 - 100) \times q\]
\[ \Rightarrow 100 \times q = 10\]
\[ \Rightarrow q = \frac{10}{100} = 0 . 1 C\]
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Chapter 29: Electric Field and Potential - Exercises [Page 124]

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HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 29 Electric Field and Potential
Exercises | Q 67 | Page 124

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