Two positive charges which are 0.1m apart repel each other with a force of 18N. If the sum of the charges be `9 muC`, calculate their separate values.

Explanation

माना दो आवेश क्रमशः `q_1 mu C ` और `q_2muC ` है अतः
` " " q_1+q_2=9mu C " "...(i) `
` because " "F=9xx 10 ^(9) (q_1q_2)/(r^(2))`
` because " " 18 =9xx 10 ^(9) (q_1q_2xx10 ^(12) )/(0.1xx 0.1) `
` " " =(9q_1q_2)/(10 ) `
या ` " " 9q_1q_2=18 xx 10 `
या ` " "q_1q_2= 20 `
` because " "(q_1-q_2) =(q_1+q_2)^(2) -4q_1q_2`
` =(9)^(2) -4xx20 `
` =81- 80 `
` =1`
या ` " "q_1-q_2=+-1`
`because` दोनों आवेश धनात्मक है अतः
` " "q_1-q_2=1 `
समी (i ) व (ii ) को जोड़ने पर ,
` " " 2q_1=10 `
` therefore " " q_1=5 mu C `
समी (i ) से ,
` q_2-9-q_1=9-5=4muC `
अतः दोनों के अलग-अलग मान ` = 5muC , 4muC `