Two charged particles, with charges q1=q and q2=4q, are located at a distance d=

Question

Two charged particles, with charges q1=q and q2=4q, are located at a distance d=2cm apart on the x axis. A third charged particle, with charge q3=q, is placed on the x axis such that the magnitude of the force that charge 1 exerts on charge 3 is equal to the force that charge 2 exerts on charge 3. Find the position of charge 3 when q = 1.0 nC .

Note that you are given the magnitude of q, but the sign of the charge q is not specified. q can be positive or negative, so that the three charges (q1, q2, q3) are either all positive charges or all negative charges.

Part E Find the two possible values for the position of charge 3 Express your answers in centimeters, separated by a comma cm, cm Submit Hints My Answers Give Up Review Part

Explanation / Answer

Suppose the distance from charge q1 is r1 and from charge q2 is r2 then there is two possibility:

1) r1+r2 = d = 2 cm

2) r2-r1 = d = 2m

case 1) qk1q3/r1^2 = kq2q3/r2^2

r2 = 2 r1

r1 = 2/3 and r2 = 4/3 between the charges

case 2)

r2 = 2r1

then r1 = 2m and r2 = 4m

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