A positive charge q is fixed at the point x = 0, y = 0, and a
negative charge -2q is fixed at the point x = a, y = 0.
a) Derive an expression for the potential V at points
on the x -axis as a function of the coordinate x
. Take V to be zero at an infinite distance from the
charges. (Express your answer in terms of the given quantities and
appropriate constants).
V(x) =
b)...
Point charge 1.5?C is located at x = 0,
y = 0.30 m , point charge -1.5?C is located at
x = 0 y = -0.30 m . What are (a)the magnitude and
(b)direction of the total electric force that these charges exert
on a third point charge Q = 5.0?C at x =
0.40 m , y = 0?
A positive charge q is fixed at the point
x=0,y=0 and a negative charge -2q is
fixed at the point x=a,y=0.
Part A:
Derive an expression for the potential V at points on
the y-axis as a function of the coordinate y.
Take V to be zero at an infinite distance from the
charges.
Part B:
At which positions on the y-axis is V = 0?
Part C:
What does the answer to part A become when
y>>a?
Part D:...
A charge of -4 µ C is located at (x, y) = (0, 0) and a second
charge of 2 µ C is located at x = 1. (a) Find a general expression
for the electric field. (b) At what point, if any, will the
electric field vanish?
Two positive point charges are held fixed on the
x-axis. Point charge A is located at the
origin, and point charge B is located at the
position x = −5.00 cm = −5.00✕10-2 m (on the
negative x-axis). The magnitude of charge
A is two times greater than that of charge
B: qA = 2qB.
ke = 8.9876✕109
Nm2/C2
(A.) The electric force on charge A has
magnitude 0.344 mN = 0.344⨯10-3 N. What is the
electric force (magnitude and...
A point charge of -6 C is located at x
= 1 m, y = -2 m. A
second point charge of 12 C is located at
x = 1 m, y = 3
m.
(a) Find the magnitude and
direction of the electric field at x =
-1 m, y = 0. (in N/C and
in degrees)
b) Calculate the magnitude and
direction of the force on an electron at
x = -1 m, y =
0. (in N...
A point charge of -4 micro C is located at
x = 1 m, y = -2
m. A second point charge of 12 micro C is located
at x = 1 m, y =
3 m.
(a) Find the magnitude and direction of the electric field at
x = -1 m, y =
0.
(b) Calculate the magnitude and direction of the force on an
electron at x = -1 m, y =
0.
A 5.1-µC point charge is located at x = 1.1 m, y = 2.7 m, and a
-3.6-µC point charge is located at x = 1.8 m, y = -2.1 m.
(a) Find the magnitude and direction of the electric field at x
= -2.7 m, y = 1.1 m.
(b) Find the magnitude and direction of the force on a proton at
x = -2.7 m, y = 1.1 m.
A 5.4-µC point charge is located at x = 1.1 m,
y = 2.9 m, and a -4.3-µC point charge is located at
x = 2.3 m, y = -1.9 m.
(a) Find the magnitude and direction of the electric field at
x = -2.7 m, y = 1.2 m.
magnitude
kN/C
direction
°
(b) Find the magnitude and direction of the force on a proton at
x = -2.7 m, y = 1.2 m.
magnitude
N
direction
°
A doubly‑ionized carbon atom (with charge +2e) is located at the
origin of the x‑axis, and an electron (with charge −e)is placed at
x=8.76 cm.There is one location along the x‑axis at which the
electric field is zero. Give the x‑coordinate of this point in
centimeters.
x‑coordinate:
cm
Assume that the potential is defined to be zero infinitely far
away from the particles. Unlike the electric field, the potential
will be zero at multiple points near the particles. Find the...