A charge of 6.50 e -9 C and a charge of -3.50 e -9 C are separated by a distance

Question

A charge of 6.50 e -9 C and a charge of -3.50 e-9 C are separated by a distance of 60.0 cm. Find the position at which a third charge, of 10.0 e-9 C, can be placed so that the net electrostatic force on it is zero.

_______ m (beyond the -3.50 e-9 C charge) A charge of 6.50 e -9 C and a charge of -3.50 e-9 C are separated by a distance of 60.0 cm. Find the position at which a third charge, of 10.0 e-9 C, can be placed so that the net electrostatic force on it is zero.

_______ m (beyond the -3.50 e-9 C charge) A charge of 6.50 e -9 C and a charge of -3.50 e-9 C are separated by a distance of 60.0 cm. Find the position at which a third charge, of 10.0 e-9 C, can be placed so that the net electrostatic force on it is zero.

_______ m (beyond the -3.50 e-9 C charge)

Explanation / Answer

F = kq1q2/d^2

k x 3.50 x 10-9 x 10 x 10-9 / d^2 = k x 6.50 x 10-9 x 10 x 10-9 / (0.6 +d)^^2

(0.6+d)^2 = 1.86d^2

d^2 + 1.2d + 0.36 = 1.86d^2

d = 0.764 m

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