A positive charge + q1 located to the left of a negative charge - q2. On a line

Question

A positive charge + q1 located to the left of a negative charge - q2. On a line passing through the two charges, there are two places where the total potential is zero. The first place is between the charges and is 2.99 cm to the left of the negative charge. The second place is 6.50 cm to the negative charge. (A) What is the distance between the charges? (b) Find q1/q2, the ratio of the magnitudes of the charges. Answer a1 : the number of significant digits is set to 3; the tolerance is + / - 2% Answer b1: the number of significant digits is set to 3; the tolerance is + / - 2%

Explanation / Answer

q1/(d-2.99) - q2/2.99 = 0

q1/(d+6.5) - q2/6.5 = 0

q1/q2 = (d-2.99)/2.99 = (d+6.5)/6.5

3.51d = 2(2.99)(6.5)

d = 5.537 cm

q1/q2 = 0.852

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