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Karnataka Board PUCPUC Science Class 11

Charged Particle with a Charge of −2⋅0 × 10−6 C is Placed Close to a Non-conducting Plate with a Surface Charge Density of 4 ⋅ 0 × 10 − 6 C M − 2 . - Physics

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Question

A charged particle with a charge of −2⋅0 × 10−6 C is placed close to a non-conducting plate with a surface charge density of 4.0 × 10-6Cm0-2. Find the force of attraction between the particle and the plate.

Answer in Brief
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Solution

The electric field due to a conducting thin sheet,

`"E" = sigma/( 2 ∈ _0)`

The magnitude of attractive force between the particle and the plate,

F =qE

`"F" = (q xx sigma)/(2∈_0)`

`"F" = ((2.0 xx 10^-6 ) xx ( 4.0 xx 10^-6))/(2 xx (8.55 xx 10^-12))`

F = 0.45 N

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Chapter 8: Gauss’s Law - Exercises [Page 142]

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HC Verma Concepts of Physics Vol. 2 [English] Class 11 and 12
Chapter 8 Gauss’s Law
Exercises | Q 18 | Page 142
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