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Two similar charges repel each other wit...

Two similar charges repel each other with a force of 44.1 N when placed 2 cm apart in air. Calculate the strength of charge.

Text Solution

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F = 44.1 N
`r =2 cm = 2 xx 10^(-2) m`
`q_1 =q_2 ` (say)
`F=1/(4piin_0)(q_1q_2)/(r^2)`
`F=(1)/(4piin_0)q^2/r^2`
`44.1 = 9 xx10^(9)xx(q^2)/((2xx10^(-2)))`
`q^2 = (44.1 xx4 xx10^(-4))/(9 xx10^(-9))=49xx4xx10^6`
`q = 14 xx10^3C`
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