Question

An infinite line of charge with charge density λ1 = 1.4 μC/cm is aligned with the y-axis as shown.

1)What is Ex(P), the value of the x-component of the electric field produced by by the line of charge at point P which is located at (x,y) = (a,0), where a = 8.2 cm?

2)What is Ey(P), the value of the y-component of the electric field produced by by the line of charge at point P which is located at (x,y) = (a,0), where a = 8.2 cm?

3)A cylinder of radius a = 8.2 cm and height h = 10 cm is aligned with its axis along the y-axis as shown. What is the total flux Φ that passes through the cylindrical surface? Enter a positive number if the net flux leaves the cylinder and a negative number if the net flux enters the cylnder.

4) Another infinite line of charge with charge density λ2 = -4.2 μC/cm parallel to the y-axis is now added at x = 4.1 cm. What is the new value for Ex(P), the x-component of the electric field at point P?

5) What is the total flux Φ that now passes through the cylindrical surface? Enter a positive number if the net flux leaves the cylinder and a negative number if the net flux enters the cylnder.

6)The initial infinite line of charge is now moved so that it is parallel to the y-axis at x = -4.1cm. What is the new value for Ex(P), the x-component of the electric field at point P?

7)What is the total flux Φ that now passes through the cylindrical surface? Enter a positive number if the net flux leaves the cylinder and a negative number if the net flux enters the cylnder.

Answer #1

An infinite line charge of uniform linear charge density lambda
= -2.7 microC/m lies parallel to the y
axis at x = 0 m. A point charge of
3.5 microC is located at x =
1.0 m, y = 2.0 m.
Find the x component of the electric field at
x = 2.0 m, y =
1.5 m.

An infinite line charge of uniform linear charge density lambda
= -3.1 mu or micro CC/m lies parallel to the y axis at x = 0 m. A
point charge of 0.6 mu or micro CC is located at x = 2.0 m, y = 3.0
m. Find the x component of the electric field at x = 3.0 m, y = 2.5
m. Answer in kN/C

Consider an infinite plane of charge with a charge density of
+10 µC/m2. Assume that this plane is on the y-and
z-axes. That is, assume it is perpendicular to the x-axis and that
it passes through the origin.
a) What would be the electric field strength and direction at
the point (5 m, 0, 0)?
The strength is___________N/C
The direction is Answer: -x, x, -y, y, -z, or z
b) What would be the electric field strength and direction at...

An infinite line of charge with linear density λ1 = 7.9 μC/m is
positioned along the axis of a thick insulating shell of inner
radius a = 2.6 cm and outer radius b = 4.5 cm. The insulating shell
is uniformly charged with a volume density of ρ = -658 μC/m3.
1) What is λ2, the linear charge density of the insulating
shell?

An infinite line of positive charge lies along the y
axis, with charge density λ = 2.30 μC/m. A dipole
is placed with its center along the x axis at x =
28.0 cm. The dipole consists of two charges ±10.0 μC
separated by 2.00 cm. The axis of the dipole makes an angle of
45.0° with the x axis, and the positive charge is farther
from the line of charge than the negative charge. Find the net
force exerted...

A very long uniform line of charge has charge per unit length
4.80 μC/m and lies along the x-axis. A second
long uniform line of charge has charge per unit length -2.32
μC/m and is parallel to the x-axis at y1
= 0.414 m .
Part A
What is the magnitude of the net electric field at point
y2 = 0.214 mon the y-axis?
Part B
What is the magnitude of the net electric field at point
y3 = 0.616...

An infinitely long solid insulating cylinder of radius a = 2 cm
is positioned with its symmetry axis along the z-axis as shown. The
cylinder is uniformly charged with a charge density ρ = 27
μC/m3. Concentric with the cylinder is a cylindrical
conducting shell of inner radius b = 14.8 cm, and outer radius c =
17.8 cm. The conducting shell has a linear charge density λ =
-0.37μC/m.
1)
What is Ey(R), the y-component of the electric field...

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...

Three infinite straight wires are fixed in place and aligned
parallel to the z-axis as shown. The wire at (x,y) = (-19 cm, 0)
carries current I1 = 2.9 A in the negative z-direction.
The wire at (x,y) = (19 cm, 0) carries current I2 = 0.5
A in the positive z-direction. The wire at (x,y) = (0, 32.9 cm)
carries current I3 = 6.2 A in the positive
z-direction.
1. What is Bx(0,0), the x-component of the magnetic
field...

A +7.0-μC point charge is placed at the 0.0 cm mark of an x-axis
and a -5.0-μC charge is placed at the 70 cm mark. What is the net
electric field strength at the 40 cm mark on the x-axis?

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