Question

1.

A 10.0 m length of wire consists of 5.0 m of copper, followed by 5.0 m of aluminum. Both have a diameter of 1.4 mm. A potential difference of 95 mV is placed across the composite wire.

***Note*** the resistivity of copper is 1.68 x 10
^{-8} Ohm * m and the resistivity of aluminum is
2.65 x 10 ^{-8} Ohm * m

**A. (worth 10 points)** What is the equivalent
Resistance of the composite wire?

**B. (worth 5 points)** What is the Current through
the wire?

**C. (worth 5 points)** What are the Voltages
across the aluminum part and across the copper part?

Answer #1

A 14.0-m length of wire consists of 9.0 m of copper followed by
5.0 m of aluminum, both of diameter 1.3 mm . A voltage difference
of 95 mVis placed across the composite wire. The resistivity of
copper is 1.68×10−8Ω⋅m and the resistivity of aluminum is
2.65×10−8Ω⋅m.
1. What is the total resistance (sum) of the two wires?
Express your answer to two significant figures and include the
appropriate units.
2. What is the current through the wire?
Express your...

Calculate the ratio of the resistance of 14.0 m of aluminum wire
1.5 mm in diameter, to 28.0 m of copper wire 2.9 mm in diameter.
Assume electrical resistivity of aluminum is 2.65×10−8 Ω⋅m and
electrical resistivity of copper is 1.68×10−8 Ω⋅m.

Find the ratio of the diameter of aluminum to copper wire, if
they have the same resistance per unit length (as they might in
household wiring). The resistivity of Aluminum is 2.65 x
10-8 Ω m ; the resistivity of copper is 1.72 x
10-8 Ω m.

Calculate the ratio of the resistance of 15.0 m of aluminum wire
2.3 mm in diameter, to 26.0 m of copper wire 1.9 mm in diameter.
The resistivity of copper is 1.68×10−8Ω⋅m and the resistivity of
aluminum is 2.65×10−8Ω⋅m. Express your answer using two significant
figures.

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...

A 13-m of wire is constructed such that half of its length is
copper, and the other half is aluminum. The diameter of the wire is
1.52 mm. Determine the total resistance of the
wire. Express your answer in milliohms.
B)
If a voltage difference of 85.9 mV is placed across the wire,
determine the current through the wire.

#4. A copper wire is 250 m long and it has a diameter of 0.225 mm.
The resistivity of copper is 1.7 x 10-8 -m. A battery of
negligible internal resistance and emf of 35.0 v is connected
across this wire.
a) Find the resistance of the wire.
b) Find the current through the wire.

If
the diameter of a copper wire is 9.52 mm, find the resistance of a
20.00 km length of copper wire (such wire used for power
transmission).
The resistivity of the copper is 1.72 x 10^-8 Ohm meter

(a) A 34.7-m length of copper wire at 20.0°C has a radius of
0.29 mm. If a potential difference of 7.0 V is applied across the
length of the wire, determine the current in the wire. (Use the
values in the following table.)
Resistivities and Temperature Coefficients of Resistivity
for Various Materials (at 20°C)
Material
Resistivity
(Ω · m)
Temperature
Coefficient
of Resistivity [(°C)−1]
Silver
1.59 ✕ 10−8
3.8 ✕ 10−3
Copper
1.7 ✕ 10−8
3.9 ✕ 10−3
Gold
2.44...

(a) A 35.1-m length of copper wire at 20.0°C has a radius of
0.31 mm. If a potential difference of 7.0 V is applied across the
length of the wire, determine the current in the wire. (Use the
values in the following table.)
Resistivities and Temperature Coefficients of Resistivity
for Various Materials (at 20°C)
Material
Resistivity
(Ω · m)
Temperature Coefficient
of Resistivity [(°C)−1]
Silver
1.59 ✕ 10−8
3.8 ✕ 10−3
Copper
1.7 ✕ 10−8
3.9 ✕ 10−3
Gold
2.44...

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