Question

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)

Answer #1

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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 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.

There is a wire made of copper with a diameter of 3.26 mm. A
current of 20.0 A was applied to this wire.
Answer the following question assuming that the electron density of
copper is n = 8.47 × 1028 m-3.
(1) Find the current density.
(2) Find the electron drift velocity.
(3) When the resistivity of copper is 1.70 × 10-8 Ω·m, find the
voltage drop that occurs along the length of this wire.
(4) Find the electron mobility.

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 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?

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 thin cylindrical wire carries a current of 1.67 Amperes and
has a diameter of 1.02
mm. The resistivity of the material of the wire is 1.72 x 10 -
9 Ω m.
(a) What is the magnitude of the current density in the wire?
(b) What is the magnitude of the electric field in the wire?
(c) What is the potential difference between two points in the wire
50 m apart?
(d) What is the resistance of a 50...

A wire consists of a steel center, 1mm in diameter, and a copper
sheathing that is 2 mm in diameter (with a 1 mm inner diameter
where the copper is fused to the steel). What is the resistance of
a 10 meter-long piece of this wire, and how much current and how
much power is dissipated in this wire if attached across the
terminals of a 12-volt battery? Hint: are the copper and steel
components of the wire in series...

Calculate the drift velocity of electrons in a copper wire which
has a diameter of 3.256 mm and carrying a 15.0–A current, given
that there is one free electron per copper atom. The density of
copper is 8.80×103 kg/m3.

A 10 gauge copper wire carries a current of 12 A. Assuming one
free electron per copper atom, calculate the drift velocity of the
electrons. (The cross-sectional area of a 10-gauge wire is 5.261
mm2.)
...........................mm/s

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