Question

A point particle with known mass, m, and known positive charge, q, is placed at the point (a,b) (Cartesian coordinates). The force of gravity, mg, acts downward the vertical y-direction. A second particle with unknown charge, q1, is fixed at the origin. What constant, horizontal electric field, must be applied so that the charge q will remain at rest?

Answer #1

A point particle with charge q = 4.9 μC is
placed on the x axis at x = −10 cm and a second
particle of charge Q = 7.8 μC is placed on the
x axis at x = +25 cm.
(a) Determine the x and y components of the
electric field due to this arrangement of charges at the point
(x, y) = (10, 10) (the units here are
centimeters).
Ex_____
Ey_____
(b) Determine the magnitude and direction of...

Three point charges are placed on the x-axis. A charge of +2.0
μC is placed at the origin, -2.0 μC to the right at x = 50 cm, and
+4.0 μC at the 100 cm mark.
a. Find the net electric force (magnitude and direction) that
acts on the charge at the origin.
b. Find the net electric field (magnitude and direction) at x =
25 cm.
c. Find the net electric force (magnitude and direction) on a
charge Q...

. A point charge q1 having
49µC is placed the origin of the cartesian coordinate system. Other
charges q2= 100µC at the point A and q3=
225µC at the point B are placed the points whose coordinates are A
(7,0) cm and B (16,12) cm, respectively. Show these point charges
in the on the coordinate system.
Find the net electric forces acting
on the charge in the point A. Give your answer as a unit vectors
and also find the...

A point particle with charge
q = 4.6 μC
is placed on the x axis at
x = −10 cm
and a second particle of charge
Q = 7.0 μC
is placed on the x axis at
x = +25 cm.
(a) Determine the x and y components of the
electric field due to this arrangement of charges at the point
(x, y) = (10, 10)
(the units here are centimeters).
Ex
= N/C
Ey
= N/C
(b) Determine the magnitude and...

charged particle mass m charge q moves along horizontal surface
with coefficient of kinetic friction μ. magnetic field strength B
applied such that magnetic force acts into the surface. If initial
speed of particle is u show that time for the particle to stop is
(m/(μqB))*ln(1+quB/(mg))

A small particle with positive charge q=+4.25×10^−4
C and mass m=5.00×10^−5 kg is moving in a
region of uniform electric and magnetic fields. The magnetic field
is B=4.00 T in the +z-direction. The
electric field is also in the +z-direction and has
magnitude E=60.0 N/C. At time t = 0 the
particle is on the y-axis at y=+1.00 m and has
velocity v = 30.0 m/s in the
+x-direction. Neglect gravity.
What are the x-, y-, and z-coordinates of the...

1.When a charge q is placed at a certain point in an electric
field, it experiences a force toward the west of magnitude F. If
instead a change 2q were placed at that same point what force would
it experience?
A.a force toward the east, of magnitude F/2
B.a force toward the east, of magnitude F
C.a force toward the east, of magnitude 2F
D.a force toward the west, of magnitude F/2
E.a force toward the west, of magnitude F...

A point charge q2 = - 7.00 nC is located at the origin and
charge q1 = 5.00 nC is on the x-axis, 40.0 cm from the origin.
a) Find the magnitude and direction of electric field at point
P, which has coordinates (40.0 cm,-50.0 cm).
b) Find the force on a charge of 5.00 µC placed at point P.

A point charge q2 = - 7.00 nC is located at the origin and
charge q1 = 5.00 nC is on the x-axis, 40.0 cm from the origin.
a) Find the magnitude and direction of electric field at point
P, which has coordinates (40.0 cm,-50.0 cm).
b) Find the force on a charge of 5.00 µC placed at point P.

A point charge q is moving in uniform electric field (E0 in the
z-direction) and uniform magnetic field (B0 field in the
x-direction). (i) What is the force acting on the charge particle?
Find equations of motion for the charge particle. (ii) Assume that
initially the charge is placed the origin and has initial velocity
(E0/2B0) in the y-direction. Determine position and velocity of the
charge particle as a function of time. (iii) Find the trajectory of
the particle and...

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