Two point charges totaling 8.00 mu C exert a repulsive force of 0. 100 N on one

Question

Two point charges totaling 8.00 mu C exert a repulsive force of 0. 100 N on one another when separated by 0.925 m. What Is the charge on each? What is the charge on each If the force is attractive? Common transparent tape becomes charged when pulled from a dispenser. If one piece is placed above another, the repulsive force can be top piece's weight. Assuming equal point charges (only an approximation), calculate the magnitude of the charge if electrostatic force is great of a 14.0 mg piece of tape held 1.10 cm above another. (The magnitude of this charge is consistent with what Is typical of static electricity.)

Explanation / Answer

Here ,

let the charges are q1 and q2

a)

q1 + q2 = 8 uC

q1 + q2 = 8 *10^-6 ----(1)

9*10^9 * q1 * q2/0.925^2 = 0.100 ---(2)

solving 1 and 2

q1 = 6.55 *10^-6 C

q2 = 1.45 *10^-6 C

the smaller charge is 1.45 *10^-6 C

the larger charge is 6.55 *10^-6 C

b)

if the force was attractive

q1 + q2 = 8 uC

q1 + q2 = 8 *10^-6 ----(1)

9*10^9 * q1 * q2/0.925^2 = -0.100 ---(2)

solving 1 and 2

q1 = 9.05 *10^-6 C

q2 = -1.05 *10^-6 C

the smaller charge is -1.05 *10^-6 C

the larger charge is 9.05 *10^-6 C

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