Question

Imagine the xy plane, the xz plane, and the yz plane all made of
metal and soldered together at the intersections. A single point
charge Q is located a distance d from each of the planes. Sketch
the configuration of image charges you need to satisfy the bound-
ary conditions. What is the direction and magnitude of the force
that acts on the charge Q?

Answer #1

A metal plate is located in an xy-plane such that the
temperature T at (x,y) is inversely proportional to the distance
from the origin, and the temperature at P(3,4) is F 0 200 . Find
the rate of change of T at P in the direction of i - j.

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...

Consider two infinite plates, both parallel to the xy plane of a
coordinate system. The top plate is at the height z = +5cm and
carries a uniform charge distribution of ?= +3nC/m2. The bottom
plate is at height z = - 5cm and carries a uniform charge
distribution of ?= -3nC/m2. The space between the plates is filled
with air. Between the plates runs a long wire along the y-axis (at
z=0 and x=0), carrying a current of 10A....

The charges and coordinates of two charged particles held fixed
in an xy plane are q1 = 2.74 μC,
x1 = 5.02 cm, y1 = 0.712 cm
and q2 = -3.79 μC, x2 =
-2.30 cm, y2 = 1.88 cm. Find the
(a) magnitude and (b) direction
(with respect to +x-axis in the range (-180°;180°]) of the
electrostatic force on particle 2 due to particle 1. At what
(c) x and (d) y
coordinates should a third particle of charge...

The charges and coordinates of two charged particles held fixed
in an xy plane are q1 = 3.09 μC,
x1 = 3.70 cm, y1 = 0.604 cm
and q2 = -5.45 μC, x2 =
-2.27 cm, y2 = 1.52 cm.
Find the (a) magnitude and (b)
direction (with respect to +x-axis in the range (-180°;180°]) of
the electrostatic force on particle 2 due to particle 1. At what
(c) x and (d) y
coordinates should a third particle of charge...

1.
Three charges are fixed to an xy coordinate system. A charge of
+22C is on the y axis at y = +4.1 m. A charge of -14C is at the
origin. Lastly, a charge of +45C is on the x axis at x = +4.1 m.
Determine (a) the magnitude and (b) direction of the net
electrostatic force on the charge at x = +4.1 m. Specify the
direction as a positive angle relative to the +x axis.
(a)...

A) Consider three identical metal spheres, A, B, and C. Sphere A
carries a charge of +4q. Sphere B carries a charge of
-3q. Sphere C carries no net charge. Spheres A and B are
touched together and then separated. Sphere C is then touched to
sphere A and separated from it. Last, sphere C is touched to sphere
B and separated from it. For the following questions, express your
answers in terms of q.
How much charge ends up...

A proton is accelerated through a potential difference of 10 kV
and enters a uniform magnetic field at right angles. Calculate the
value of the magnetic flux density necessary to move the proton in
a circular path of radius 10 mm. [6]
A piece of wire of cross-sectional area A and resistivity ρ is
bent into a circular loop of radius r and placed in a magnetic
field with its plane at right angles to the field. Determine the
magnitude...

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