Two point charges of magnitudes +5.00 uC, and +7.00 uC areplaced along the x-axi

Question

Two point charges of magnitudes +5.00 uC, and +7.00 uC areplaced along the x-axis at x=0 cm and x=100 cm, 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? A) 91.2 cm B) 50 cm C) 45.8 cm D) 9.12 cm E) 4.58 cm How do you solve this? Two point charges of magnitudes +5.00 uC, and +7.00 uC areplaced along the x-axis at x=0 cm and x=100 cm, 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? A) 91.2 cm B) 50 cm C) 45.8 cm D) 9.12 cm E) 4.58 cm How do you solve this?

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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