Question

an aluminium wire having a cross-sectional area A = 4 x 10^-6 m^2 carries a current I = 5 A. find the drift speed (vD) of the electrons in the wire. The density of aluminium is 2.7 g/cm^3 and its molar mass = 27 g/mol. Assume that one conduction electrons is supplied by each atom. Avogadro's constant is 6.023 x 10^23 atom/mole and e = 1.6 x 10^-19 C.

Answer #1

An aluminum wire having a cross-sectional area of 3.10 ✕
10−6 m2 carries a current of 3.00 A. The
density of aluminum is 2.70 g/cm3. Assume each aluminum
atom supplies one conduction electron per atom. Find the drift
speed of the electrons in the wire.

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

A
copper wire of cross sectional area A=1.7 mm2 and Lenght L=1 m
carries a current of I=6.4 A at the temperature of T1= 20 0C. a)
How many electrons pass through a cross section of the wire in each
second? b) What is the resistance of the wire ? c) What is the
potential difference between the ends of the wire? d) What is the
resistance of the wire at the temperature of T2= 100 0C?
(r=1.7x10-8 W.m, a=7x10-3...

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 100m long with cross-sectional area of 2x10^-4
cm^2 is heated from room temperature of 25 C to 200 C. Find
a) The initial resistance of wire
b) The increase in resistance from 25 to 200 C
c) The drift speed of the “electron group” in the wire, if the
current is 3A and density of
electrons is 8.5x10^28 electrons /m 3
d) The voltage drop across the wire resistor for this current of
3A
e) The power...

What current in a copper wire with a cross-sectional area of
7.10 10-7 m2 would result in a drift speed equal to 5.09 10-4
m/s?

Assume that a gold wire 0.32 mm in diameter carries one mobile
electron per atom. The mass density and the molecular weight of
gold are 1.89×104 kg/m3 and 197.0 g/mol,
respectively. Calculate the drift speed of the electrons in this
wire when it carries a current of 2.44 A.
(ans. 3.28×10-3 m/s)

A copper wire is 8.00 m long, and has a
cross-sectional area of 1.00 × 10–4 m2. This wire forms a 1turn
loop in the shape of a square and is then connected to a battery
that applies a potential difference of 0.100 V. If the loop is
placed in a uniform magnetic field of magnitude 0.400 T, what is
the maximum torque that can act on it? The resistivity of copper is
1.70 × 10–8 Ω · m. Define...

A copper wire is 8.00 m long, and has a cross-sectional area of
1.00 × 10-4 m2. This wire forms a 1turn loop
in the shape of a square and is then connected to a battery that
applies a potential difference of 0.100 V. If the loop is placed in
a uniform magnetic field of magnitude 0.400 T, what is the maximum
torque that can act on it? The resistivity of copper is 1.70 ×
10-8 Ω • m. Define...

A 7.54 m long copper wire (ρcopper =
1.69×10-8 Ω.m) has a cross sectional area 6.96
mm2. If the wire is reshaped to twice its original
length with no change of volume, find its new wire resistance.

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