Calculate the magnitude and direction of the Coulomb force o

Calculate the magnitude and direction of the Coulomb force on each of the three charges shown In the figure below. 6.00 mu C charge: magnitude N direction 1.50 mu C charge: magnitude N direction -2.00 mu C charge: magnitude N direction

Solution

a) 6 muC

F = [(9 * 10⁹ * 6 * 10^-6 * 1.5 * 10^-6) / (0.03)²] + [ ( 9 * 10⁹ * 6 * 10^-6 * -2 * 10^-6) / (0.03+0.02)²]

magnitude of force F = 46.7 N

direction = towards left

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b) 1.5 muC

F = [ ( 9 * 10⁹ * 6 * 10^-6 * 1.5 * 10^-6) / (0.03)²] + [ ( 9 *1 0⁹ * 1.5 * 10^-6 * -2 * 10^-6)/ (0.02)²]

magnitude of force F = 157.3 N

direction = towards right

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c) -2 muC

F = [ ( 9 * 10⁹ * 6 * 10^-6 * -2 * 10^-6) / (0.05)²] + [ (9 * 10⁹ * 1.5 * 10^-6 * -2 * 10^-6)/ (0.02)²]

magnitude of force F = -110.6 N

direction = towards left