Question

Coulomb's law for the magnitude of the force *F* between
two particles with charges *Q*
and *Q*′ separated by a distance *d*
is

|*F*|=*K*|*Q**Q*′|*d*2,

where *K*=14*π**ϵ*0, and
*ϵ*0=8.854×10−12C2/(N⋅m2) is the permittivity of free
space.

Consider two point charges located on the *x* axis: one
charge, *q*1 = -14.5 nC , is located at *x*1 = -1.655
m ; the second charge, *q*2 = 33.5 nC , is at the origin
(*x*=0.0000).

What is the net force exerted by these two charges on a third
charge *q*3 = 50.5 nC placed between *q*1 and
*q*2 at *x*3 = -1.145 m ?

Your answer may be positive or negative, depending on the direction of the force.

Answer #1

Coulomb's law for the magnitude of the force F between two
particles with charges Q and Q′ separated by a distance d is
|F|=K|QQ′|d2, where K=14πϵ0, and ϵ0=8.854×10−12C2/(N⋅m2) is the
permittivity of free space. Consider two point charges located on
the x axis: one charge, q1 = -10.0 nC , is located at x1 = -1.695 m
; the second charge, q2 = 31.0 nC , is at the origin
(x=0.0000).
What is the net force exerted by these two...

Coulomb's law for the magnitude of the force F FF between two
particles with charges Q QQ and Q ′ Q′Q^\prime separated by a
distance d dd is |F|=K |Q Q ′ | d 2 |F|=K|QQ′|d2 , where K= 1 4π ϵ
0 K=14πϵ0 , and ϵ 0 =8.854× 10 −12 C 2 /(N⋅ m 2 )
ϵ0=8.854×10−12C2/(N⋅m2) is the permittivity of free space. Consider
two point charges located on the x axis: one charge, q 1 q1q_1 =
-20.0...

Coulomb's law for the magnitude of the force F between
two particles with charges Q and Q′separated by a
distance d is
|F|= (K) |QQ′| /
d2
where K=1 / 4πϵ0, and
ϵ0=8.854×10−12 C2 /
(N⋅m2) is the permittivity of free space.
Consider two point charges located on the x axis: one
charge, q1 = -13.5 nC , is located at
x1 = -1.745 m ; the second charge,
q2 = 31.5 nC ,is at the origin
(x=0.0000).
What is the...

Coulomb's law for the magnitude of the force FF between two
particles with charges QQ and Q′Q′ separated by a distance dd
is
|F|=K|QQ′|d2|F|=K|QQ′|d2,
where K=14πϵ0K=14πϵ0, and
ϵ0=8.854×10−12C2/(N⋅m2)ϵ0=8.854×10−12C2/(N⋅m2) is the permittivity
of free space.
Consider two point charges located on the x axis: one
charge, q1q1 = -13.0 nCnC , is located at x1x1 = -1.670 mm ; the
second charge, q2q2 = 39.0 nCnC , is at the origin (xx = 0).
What is (Fnet3)x(Fnet3)x, the x-component of the...

Coulomb's law for the magnitude of the force F between two
particles with charges Q and Q′ separated by a distance d is
|F|=K |QQ'|/d2
where K=1/4πϵ0 , and
ϵ0=8.854×10-12
C2/(N⋅m2) is the permittivity of free
space.
Consider two point charges located on the x axis: one
charge, q1 = -17.0 nCn, is located at X1 = -1.680 m ;
the second charge, q2 = 30.0 nC , is at the origin (x = 0).
What is (Fnet3)x, the x-component...

Coulomb's law for the magnitude of the force Fbetween
two particles with charges Q and Q′separated by a
distance d is
|F|=K|QQ′|/d^2,
where K=1/4πϵ0, and
ϵ0=8.854×10^−12C^2/(N⋅m^2) is the permittivity of free
space.
Consider two point charges located on the x axis: one
charge, q1 = -19.0 nC , is located at x1 = -1.665
m ; the second charge, q2 = 36.0 nC ,is at the origin
(x=0.0000).
What is the net force exerted by these two charges on a...

Coulomb's law for the magnitude of the force F between two
particles with charges Q and Q′ separated by a distance d is
|F|=K(|QQ′|/d^2)
where K=1/(4πϵ0), and ϵ0=8.854×10^−12 C^2/(N⋅m^2) is the
permittivity of free space.
Consider two point charges located on the x axis: one
charge, q1 = -17.5 nC , is located at x1= -1.735 mm ; the second
charge, q2 = 36.5 nC , is at the origin (x = 0).
What is (Fnet3)x, the x-component of the...

What is the net force exerted by these two charges on a third
charge q3 = 50.0 nC placed between q1 and q2 at x3 = -1.120 m ?
Consider two point charges located on the x axis: one
charge, q1 = -16.0 nC , is located at x1 = -1.690 m ; the second
charge, q2 = 38.5 nC , is at the origin (x=0.0000).
Your answer may be positive or negative, depending on the
direction of the force....

Consider two point charges located on the x axis: one charge, q1
= -19.5 nC , is located at x1 = -1.720 m ; the second charge, q2 =
30.0 nC , is at the origin (x=0.0000). What is the net force
exerted by these two charges on a third charge q3 = 48.5 nC placed
between q1 and q2 at x3 = -1.180 m ?

Part A) Two particles with positive charges q1 and
q2 are separated by a distance s.
Along the line connecting the two charges, at what distance from
the charge q1 is the total electric field from the two charges
zero?
Express your answer in terms of some or all of the
variables s,
q1,
q2 and
k =14πϵ0. If
your answer is difficult to enter, consider simplifying it, as it
can be made relatively simple with some work.
Part B)...

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