Question

Two charge particles, +2q and -3q are on an axis at x = -10 and x = 30 respectively. At one point, a third charged particle can be placed such that the net force acting on it would be zero.

a) Calculate the location where the third charge should be placed to create this situation?

b) Should the third charge be positive or negatively charged? Explain your reasoning.

Answer #1

There are one positive charge +3Q and one negative charge −Q
which are fixed on the x-axis with coordinate (−d,0) and (d,0)
respectively. We would like to place a third one, carrying +2Q, at
some place such that the net electric force on it is zero.
I said that the third charge should be placed to the right of
the negative charge (-Q) so that the +3Q and -Q charges are
canceling out.
k(3Q)(Q)/(x^2) = k(2Q)(Q)/(x-2d)^2
distance from 3Q to...

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One dimension. In the figure, two point particles are
fixed on an x axis separated by distance d.
Particle A has mass mA and particle
B has mass 6.00 mA. A third particle
C, of mass 73.0 mA, is to be placed on
the x axis and near particles A and B.
In terms of distance d, at what x coordinate
should C be placed so that the net gravitational force on
particle A from particles B and C is...

In this problem, consider electrostatic forces only. In the
figure, there is a particle of charge +Q at x = 0, and there is a
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appropriate spot on the x-axis. Use Q = 60.0 ✕ 10−6C, and a = 40.0
cm. Also, use k = 9.00 ✕ 109 N · m2/C2. (a)First, place...

Two positively charged particles, each with charge Q, are held
at positions (-A, 0) and (A, 0) as shown in the following figure. A
third positively charged particle with charge q is placed at (0,
H). Find an expression for the net electric force on the third
particle with charge q. Show that the two charges Q behave like a
single charge 2Q located at the origin when the distance H is much
greater than A.

Three particles are fixed on an x axis. Particle 1 of
charge q1 is at x = -a and
particle 2 of charge q2 is at x =
+a. If their net electrostatic force on particle 3 of
charge Q is to be zero, what must be the ratio
q1/q2 when particle 3 is at
(a) x = +0.334a and
(b) x = +2.09a?

Three particles are fixed on an x axis. Particle 1 of
charge q1 is at x = -a and
particle 2 of charge q2 is at x =
+a. If their net electrostatic force on particle 3 of
charge Q is to be zero, what must be the ratio
q1/q2 when particle 3 is at
(a) x= +0.405a and
(b) x = +1.95a?

Three particles are fixed on an x axis. Particle 1 of
charge q1 is at x = -a and
particle 2 of charge q2 is at x =
+a. If their net electrostatic force on particle 3 of
charge Q is to be zero, what must be the ratio
q1/q2 when particle 3 is at
(a) x = +0.214a and
(b) x = +1.38a?

Three charged particles are placed at each of three corners of
an equilateral triangle whose sides are of length 3.4 cm . Two of
the particles have a negative charge: q1 = -7.8 nC and q2 = -15.6
nC . The remaining particle has a positive charge, q3 = 8.0 nC .
What is the net electric force acting on particle 3 due to particle
1 and particle 2?
1) Find the net force acting on particle 3 due to...

1) Consider two charged objects lying along the x-axis. A 2.0 x
10-9 C point charge is located at x = 3.0 cm and a -3.0
x 10-9 C point charge is located at x = 5.0 cm.
a) What is the magnitude of the force on the negatively charged
object due to the positively charged object? What is its direction?
Show your work and explain your reasoning.
b) Suppose the -3.0 X10-9 C charge is moved to x =...

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