Two point charges of magnitudes +5.00 microC, and +7.00 microCare placed along t

Question

Two point charges of magnitudes +5.00 microC, and +7.00 microCare placed along the x-axis at x=0cm and x=100cm respectively.Where must a third charge be placed along the x-axis so that itdoes not experience any net force because of the other twocharges? Two point charges of magnitudes +5.00 microC, and +7.00 microCare placed along the x-axis at x=0cm and x=100cm respectively.Where must a third charge be placed along the x-axis so that itdoes not experience any net force because of the other twocharges?

Explanation / Answer

Force on at required point due to 5 C = Force on atrequired point due to 7 C        K q ( 5 C ) / x 2 = K q ( 7C ) / ( 100 - x )2 from this ( 100 - x ) / x = [7 / 5]                  100 - x = ± 1.1832 x                            x = 45.8 cm from this ( 100 - x ) / x = [7 / 5]                  100 - x = ± 1.1832 x                            x = 45.8 cm

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