Question

1.12 [2pt] Consider one infinitely long straight wire with a uniform charge density of 1 C/m. Sketch the electric field around the wire

1.12 ANSWER

1.13 [2pt] In problem 1.12, calculate the magnitude of electric field at a distance R from the wire. How is it different (if any) from the field of a point charge?

1.13 ANSWER

1.14 [2pt] Consider two infinite wires 1 m apart with a uniform charge density per unit length 1 C/m. Calculate the force per unit length between the wires. To do this, just select a tiny, nearly point-like section of a wire of length Land calculate the force due to the electric field of the other wire using the Coulomb’s law. Your answer should be proportional to L. Divide it by L and this is the force per unit length.

1.14 ANSWER

1.15 [1pt] Explain, in a few sentences, how the electric force between two charged wires differs from the regular Coulomb law and why.

1.15 ANSWER

Answer #1

An infinite long straight wire is uniformly charged, the charge
density is a. Use Coulomb's law to calculate the
electric field at point B. The distance between
point B and the wire is R. Show your calculation process.

A straight, nonconducting plastic wire 7.00 cm long carries a
charge density of 125 nC/m distributed uniformly along its length.
It is lying on a horizontal tabletop.
- Find the magnitude and direction of the electric field this
wire produces at a point 4.50 cm directly above its midpoint.
- Is the electric field directed upward or downward?
- If the wire is now bent into a circle lying flat on the table,
find the magnitude and direction of the...

A straight, nonconducting plastic wire 9.50 cm long
carries a charge density of 100 nC/m distributed uniformly along
it's length. It is lying on a horizontal tabletop.
A. Find the magnitude and direction of the electric field this wire
produces at a point 4.50 cm directly above its midpoint.
B. If the wire is now bent into a circle lying flat on the table,
find the magnitude and direction of the electric field it produces
at a point 4.50 cm...

An infinitely long line charge of uniform linear charge density
λ = -2.10 µC/m lies parallel to the y axis at x = -3.00 m. A point
charge of 2.40 µC is located at x = 2.00 m, y = 3.00 m. Find the
electric field at x = 3.00 m, y = 2.50 m.

A straight, nonconducting plastic wire 7.50cm long carries a
charge density of 130nC/m distributed uniformly along its length.
It is lying on a horizontal tabletop. Part C If the wire is now
bent into a circle lying flat on the table, find the magnitude and
direction of the electric field it produces at a point 5.00cm
directly above its center.

Consider an infinitely long line of charge having uniform charge
per unit length 5.4 µC/m. Determine the total electric flux through
a closed right circular cylinder of length 1.7 m and radius 80 m
that is parallel to the line charge, if the distance between the
axis of the cylinder and the line of charge is 10 m. The
permittivity of free space is 8.8542 × 10−12 C 2 /N · m2 . Answer
in units of N · m2...

Consider a very long cylindrical charge distribution of
radius R with a uniform charge density rho. Calculate the magnitude
of the electric field at distance r<R from the axis of this
distribution. Derive using gauss law
Show all work please

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...

Pt.1) The charge per unit length on a long, straight filament is
59 µC/m. Find the electric field 9.7 cm from the filament, where
the distance is measured perpendicular to the length of the
filament. The Coulomb constant is 8.98755 × 109 N · m2 /C 2
Pt.2)Find the electric field 32 cm from the filament.
Pt.3) Find the electric field 59 cm from the filament.

An infinitely long line of charge has a linear charge density of
5.00×10−12 C/m. A proton is at distance
18.0cm from the line and is moving directly toward
the line with speed 1500 m/s.
a) Calculate the potential of an infinitely long line from the
electric field.
b) Calculate the force felt by the proton when it is 18 cm from
the line
c) What is the maximum approximation of the proton to the load
line?
d) What is the...

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