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Two positve charges of 12 muC and 8 muC ...

Two positve charges of 12 `muC` and 8 `muC` respectively are 10 cm apart. Find the work done in bringing them 4 cm closer, so that, they are 6 cm apart.

Text Solution

Verified by Experts

The charges are `q_1 = 12C, q_2 = 8C`
Distance between the charges `r_B = 10xx10^-2m`
Distance between the charges `r_A = 6xx10^-2m`

Work `= (q_1q_2)/(4piepsilon_0)(1/r_A-1/r_B)`
`=12xx10^-6xx8xx10^-6xx9xx10^9(1/(6xx10^-2)-1/(10xx10^-2))`
`=12xx10^-6xx8xx10^-6xx9xx10^9xx10^2((10-6)/60)`
`=12xx10^-6xx8xx10^-6xx9xx10^11xx(4/60)`
`=(96xx36)/60xx10^11xx10^-12`
`=57.6xx10^11xx10^-12`
`=57.6xx10^-1`
= 5.76
Work = 5.76
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