Question

A copper wire has a square cross section 3.0 mm on a side. The wire is 3.8 m long and carries a current of 3.5 A. The density of free electrons is 8.5×1028m−3.

A) **Find the magnitude of the electric field in the
wire.**

**Express your answer in volts per meter.**

B) **How much time is required for an electron to travel
the length of the wire?**

**Express your answer in seconds**

Answer #1

A 1.0 m length of copper wire has a cross-sectional area of
0.4x10-6 m2 and carries a current of 50 mA (a
fairly typical amount of current).
What is the current density magnitude in this wire?
What is the electron drift speed in this wire?
How long will It take for an electron to travel the length of
the wire (traveling at the speed you just calculated)?
What is the magnitude of the electric field inside the
wire?

Copper has 8.5 x10^28 electrons per m^3 . A 71 cm length of
copper wire of diameter 2.05 mm carries 4.85A of current. ( For
copper: ρ = 1.72 x 10^-8 ohm-m) a. How much time does it take an
electron to travel the length of the wire ? b. Find the electric
field inside the wire. c. What is the resistance of this wire?

A 2.3 mm -diameter copper wire carries a 38 A current (uniform
across its cross section).
a) Determine the magnetic field at the surface of the wire.
b) Determine the magnetic field inside the wire, 0.50 mm below
the surface.
c)Determine the magnetic field outside the wire 2.5 mm from the
surface.

A length of copper wire carries a current of 14 A, uniformly
distributed through its cross section. Calculate the energy density
of (a) the magnetic field and (b)
the electric field at the surface of the wire. The wire diameter is
2.6 mm, and its resistance per unit length is 2.7 Ω/km.

A copper wire with diameter of 1,5 mm and length of 4m carries
constant current of 1.75 A. The free electron density in the wire
is 8,5x1028 m-3. The resistivity of copper is 1,72x10-8 capital
omega.m. Calculate
a) current density,
b)drift velocity,
c) magnitude of electric field,
d) potential between the terminals of wire,
e)power dissipated as heat
f) mean free time. (mass of electron: 9,1x10-31kg, magnitude of
charge of electron: 1,6x10-19 C)

A copper wire with diameter of 1,5 mm and length of 4m carries
constant current of 1.75 A. The free electron density in the wire
is 8,5x1028 m-3. The resistivity of copper is
1,72x10-8 .m. Calculate
a) current density,
b)drift velocity,
c) magnitude of electric field,
d) potential between the terminals of wire,
e)power dissipated as heat
f) mean free time. (mass of electron: 9,1x10-31kg,
magnitude of charge of electron: 1,6x10-19 C)

A 3.3-mm copper wire carries a 16-A current (uniform across its
cross section). Determine the magnetic field
a) at the surface of the wire,
(b) inside the wire, 0.66 mm below the surface,
mT
(c) and outside the wire 3.3 mm from the surface.
mT

A 3.00 m long copper wire has a 1.20 m long section with a 1.60
mm diameter and a 1.80 m long section with a 0.80 mm diameter. The
electric current is 2.5 mA (milli Amps) in the 1.60 mm diameter
section. The electrical resistivity of copper is 1.68 x 10^-8 Ω
m.
a) (10pts) What is the current density in the 1.60 mm diameter
section?
b) (10pts) What is the magnitude of the electric field in N / C...

A 7.2 mm diameter conducting wire carries a current of 3.8 A. If
the density of the conduction electrons (free electrons) in the
wire is n=19.6×1028m-3, determine the magnitude of the drift
velocity of the electrons within the wire. Express your answer in
units of μm/s (micrometers per second) using one decimal place.
Take the charge of the electron e=1.6×10-19C.

A copper wire that has a diameter of 2.00 mm carries a current
of 10.0 A. Assuming that each copper atom contributes one free
electron to the metal, calculate the drift speed of the electrons
in the wire. The molar mass of copper is 63.5 g/mol and the density
of copper is 8.95 g/cm3.

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