Three point charges are arranged along the x axis. Charge q1 = -4.00nC is locate

Question

Three point charges are arranged along the x axis. Charge q1 = -4.00nC is located at x= 0.200m and charge q2 = 2.70nC is at x= -0.300m . A positive point charge q3 is located at the origin.

Part A) What must the value of q3 be for the net force on this point charge to have magnitude 4.70?N? Ans: q3 = 4.02microN

Part B) What is the direction of the net force on q3? Ans: +x direction

Part C) Where along the x axis can q3 be placed and the net force on it be zero, other than the trivial answers of x=+? and x=???

Explanation / Answer

q1 is +ve,q2 is -ve

so force on q3 due to q1 and q2 is in opposite direction

part a)

net F=F1-F2

part b)

net direction

if q3 is +ve than in -ve x axis

if q3 is -ve than in +ve x axis

part c)

net force will be zero if

F1=F2

let it be placed at distance a from q1, than its distance from q2=0.5-a

then

q1/a2=q2/(0.5-a)2

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