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Three charges $$1 \mathrm{C},-1 \mathrm{C}$$, and $$2 \mathrm{C}$$ are kept on $$X$$ axis $$-5 \mathrm{~cm}, x=0 \mathrm{~cm}$$ amd $$x=10 \mathrm{~cm}$$ respectively find net force one each of them
Asked by marshelojigas | 28 Jun, 2022, 06:46: AM
I assume the question is as given below

" Three charges  1 C, -1 C , and  2 C are kept on  X  axis  at  x = -5 cm,
x=0 cm  and  x=10 cm  respectively find net force one each of them "
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Force F between two charges q1 and q2 that are separated by a distance d is given as

where K = 1/(4πεo ) = 9 × 109 N m2 C-2 is Coulombs constant and εo is permittivity of free space.

In this given charge configuration, there are three types of forces .

F1 is attractive force between charges 1 C and -1 C ;

F2 is attractive force between charges -1 C and 2 C ;
F3 is repulsive  force between charges 1 C and 2 C ;
Net force on 1 C charge = F1 - F3 = ( 3.600 -0.800) × 1012 N = 2.800 × 1012 N

Net force on -1 C charge = F1 - F2 = ( 3.600 -1.800) × 1012 N = 1.800 × 1012 N

Net force on 2 C charge = F2 - F3 = ( 1.800 -0.800) × 1012 N = 1.000 × 1012 N
Answered by Thiyagarajan K | 28 Jun, 2022, 08:27: AM

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