Homework Help: Physics

Posted by John on Monday, January 21, 2013 at 10:45pm.

Two particles are fixed along a straight line, separated by a distance 6.0 cm. The left one has a charge +2.0 nC and the right one has a charge of +6.0 nC. You must try to locate a point where the electric field is zero.

(a) What is the location of the point?
(b) How far from the left charge is the point?
(c) Suppose that the left charge is -2 nC. Now where would you find a point where the electric field is zero??
(d) How far is the point measured from the left charge?

Physics - Elena, Tuesday, January 22, 2013 at 11:11am
kq₁/x²=kq₂/(6-x)²
2/x²=6/(6-x)²
36-12x+x²=3x²
2x²+12x-36=0
x²+6x-18=0
x = - 3ąsqrt(9+18) =
= - 3 ą 5.2
If q₁ >0 and q₂>0 x= 2.2 cm (to the right from the left charge (between the charges))
If q₁ <0 and q₂>0 x=-8.2 cm (to the left from the left (negative) charge)

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