Question

**Problem 4: Two point charges,
Q**_{1}**and
Q**_{2}**, are located on the
x axis as follows. Q**_{1}**is at the origin and has a value of +24 µC. The charge
Q**_{2}**is at x = 4 meters
and its magnitude and sign are unknown. It is known that the net
electric field due to these two charges is zero at the coordinate x
= 8 meters. (k = 1/4πε**_{o}**= 9 x 10**^{9}**Nt x
m**^{2}**/C**^{2}**)**

**a. Find the magnitude and direction of the electric
field produced by Q**_{1}**at a distance 3 meters away from the charge.**

**b. Determine the magnitude and sign of charge
Q****2****.**

**c. If we allow these two charges to touch one another
and come to electrical equilibrium, what will the charge be on each
after this process is completed and what principle of physics is
being employed to arrive at the answer.**

**d. How much work is needed to bring a proton (Q = e =
1.60 x 10**^{-19}**C) from
infinity to the coordinate (x,y) = (3,0)?**

**e. Suppose we double the magnitude of each of the
charges and halve the distance between them. How will the
electrical force between these two charges compare to the original
force? (Find the ratio of the new force to the original
force).**

Answer #1

Two point charges,
q1=q1= 4.0×10-6 C and
q2=q2= -1.0×10-6 C,
are located on the x axis at x1 = -1.0 cm and
x2 = 3.0 cm.
(a) Determine the electric field at the origin.
b) Determine the x coordinate of a point on the positive x axis
where the electric field is zero; i.e., a test charge placed at
this point would experience no force.
(a) Determine the electric field at the origin.

Two
point charges , q1=+19nC and q2= -4nC, are located on the x axis at
x=0 and x=8 m. What is the distance of zero electric field from the
positive charge ? Make your Answer four decimal places .

1, Two charges are placed on the x axis. One of the charges (q1
= +8.09C) is at x1 = +3.00 cm and the other (q2 = -21.5C) is at x2
= +9.00 cm. Find the net electric field (magnitude and direction
given as a plus or minus sign) at (a) x = 0 cm and (b) x = +6.00
cm.
2. Two charges, -22 C and +3.5 C, are fixed in place and
separated by 3.0 m. (a) At...

Two charges are placed on the x axis. One of the charges (q1 =
+9.4 µC) is at x1 = +2.7 cm and the other (q2 = -24 µC) is at x2 =
+8.9 cm.
(a) Find the net electric field (magnitude and direction) at x =
0 cm. (Use the sign of your answer to indicate the direction along
the x-axis.)
(b) Find the net electric field (magnitude and direction) at x =
+6.2 cm. (Use the sign of...

Q1 = +2.1µC and is located at (5, 0), Q2
= -8.4µC and is located at (0, -7), and Q3 = +6.5 µC and
is located at (-8, 6). A ball with a charge of QB =
+4.2µC is placed at the origin (0,0). (units of distance measured
in meters)
Sketch the setup and make an FBD for the ball.
Find the force from Q1 on the ball in component
form?
Find the force from Q2 on the ball in...

Two charges are placed on the x axis. One of the
charges (q1 = +8.4 µC) is at
x1 = +2.7 cm and the other
(q2 = -24 µC) is at x2 =
+8.4 cm.
Find the net electric field (magnitude and direction) at
x = +6.4 cm. (Use the sign of your answer to indicate the
direction along the x-axis.)

The two point charges are located on the x- axis,
q1=-e at x=0 and q2=e at x=2a.
A- Find the work that must be done by
an external force to bring a third point charge q3=2e
from infinity to x=4a.
B- Find the total potential energy of the system of three
charges.

- The two point charges are located on the x- axis, q1=-e at x=0
and q2=e at x=2a.
A- Find the work that must be done by an external force to bring a
third point charge q3=2e from infinity to x=4a.
B- Find the total potential energy of the system of three
charges.

Three point charges are on the x axis:
q1 is at the origin, q2 is
at x = +3.4 m, and q3 is at x
= +6.5 m. Find the electrostatic potential energy of this system of
charges for the following charge values. (Assume the potential
energy is zero when the charges are very far from each other.)
1)
(a) q1 = q2 =
q3 = +4.2 µC
2)
(b) q1 = q2 = +4 µC and
q3 = -4...

Three point charges are on the x axis: q1 is at the
origin, q2 is at x = +3.8 m, and q3 is at x =
+5.1 m. Find the electrostatic potential energy of this system of
charges for the following charge values. (Assume the potential
energy is zero when the charges are very far from each other.)
(a) q1 = q2 = q3 = +2.7 µC
(b) q1 = q2 = +3.3 µC and q3 =
-3.3 µC
(c)...

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