Problem 16.18 Two point charges have a total charge of 292 ? C . When placed 2.0

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Problem 16.18 Two point charges have a total charge of 292?C . When placed 2.00m apart, the force each exerts on the other is 25.2N and is repulsive. Part A What is the charge on each? Enter your answers numerically separated by a comma. q1, q2 =   ?C   SubmitMy AnswersGive Up Problem 16.18 Two point charges have a total charge of 292?C . When placed 2.00m apart, the force each exerts on the other is 25.2N and is repulsive. Part A What is the charge on each? Enter your answers numerically separated by a comma. q1, q2 =   ?C   SubmitMy AnswersGive Up Problem 16.18 Problem 16.18 Two point charges have a total charge of 292?C . When placed 2.00m apart, the force each exerts on the other is 25.2N and is repulsive. Two point charges have a total charge of 292?C . When placed 2.00m apart, the force each exerts on the other is 25.2N and is repulsive. Two point charges have a total charge of 292?C . When placed 2.00m apart, the force each exerts on the other is 25.2N and is repulsive. Part A What is the charge on each? Enter your answers numerically separated by a comma. q1, q2 =   ?C   SubmitMy AnswersGive Up Part A What is the charge on each? Enter your answers numerically separated by a comma. q1, q2 =   ?C   SubmitMy AnswersGive Up Part A What is the charge on each? Enter your answers numerically separated by a comma. q1, q2 =   ?C   SubmitMy AnswersGive Up q1, q2 =   ?C   q1, q2 =   ?C   SubmitMy AnswersGive Up

Explanation / Answer

givenn here q1+q2 = 292 uC --------------------1

also F = kq1q2/r^2

so q1q2 = Fr^2/k

q1q2 = (25.2 * 2*2)/(9e9)

q1q2 = 1.12 e-8

now use the idenentiy (q1-q2)^2 = (q1+q2)^2 - 4q1q2

(q1-q2)^2 = 292 e-6 *292 e-6 -(4* 1.12 e-8)

q1-q2 = sqrt(4.046 *10^-8 )

q1-q2 = 201 uC ---------------------2

so adding 1 and 2

2q1 = 291+201 = 492 uC

q1 = 246 uC

q2 = 292-246 = 46 uC

so rthe charges are 246 uC , 46 uC

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