# 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. - Physics

Numerical

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.

#### 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 = $∆ V \times q$
$\Rightarrow 10 = (200 - 100) \times q$
$\Rightarrow 100 \times q = 10$
$\Rightarrow q = \frac{10}{100} = 0 . 1 C$
Concept: Electric Field - Electric Field Due to a System of Charges
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#### APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 7 Electric Field and Potential
Q 67 | Page 124