Question

Question 10 a. A transmission line 3000 meters long is made of a cylindrical copper wire 3 mm in diameter. If it is required to carry a current of 12 A what is the voltage drop across the length of the transmission line? (5 marks) b. If the transmission line is replaced with aluminium, what would be the diameter of the cylindrical wire needed to carry the same current and voltage across the 3000 meters of length? (3 marks) c. Explain briefly why an undeformed copper wire will have a higher conductivity than a deformed copper wire? (2 marks) Metal Electrical Conductivity $[ohm^{-1}m^{-1}]$ Silver $6.8 \times 10^7$ Copper $6.0 \times 10^7$ Gold $4.3 \times 10^7$ Aluminum $3.8 \times 10^7$ Brass (70Cu- $1.6 \times 10^7$ 30Zn) Iron $1.0 \times 10^7$ Platinum $0.94 \times 10^7$ Plain Carbon Steel $0.6 \times 10^7$ Stainless Steel $0.2 \times 10^7$

          Question 10
a. A transmission line 3000 meters long is made of a cylindrical copper wire 3
mm in diameter. If it is required to carry a current of 12 A what is the voltage
drop across the length of the transmission line?
(5 marks)
b. If the transmission line is replaced with aluminium, what would be the
diameter of the cylindrical wire needed to carry the same current and voltage
across the 3000 meters of length?
(3 marks)
c. Explain briefly why an undeformed copper wire will have a higher
conductivity than a deformed copper wire?
(2 marks)
Metal
Electrical
Conductivity
$[ohm^{-1}m^{-1}]$
Silver
$6.8 \times 10^7$
Copper
$6.0 \times 10^7$
Gold
$4.3 \times 10^7$
Aluminum
$3.8 \times 10^7$
Brass (70Cu-
$1.6 \times 10^7$
30Zn)
Iron
$1.0 \times 10^7$
Platinum
$0.94 \times 10^7$
Plain Carbon Steel
$0.6 \times 10^7$
Stainless Steel
$0.2 \times 10^7$

Question 10
a. A transmission line 3000 meters long is made of a cylindrical copper wire 3
mm in diameter. If it is required to carry a current of 12 A what is the voltage
drop across the length of the transmission line?
(5 marks)
b. If the transmission line is replaced with aluminium, what would be the
diameter of the cylindrical wire needed to carry the same current and voltage
across the 3000 meters of length?
(3 marks)
c. Explain briefly why an undeformed copper wire will have a higher
conductivity than a deformed copper wire?
(2 marks)
Metal
Electrical
Conductivity
[ohm^-1m^-1]
Silver
6.8 × 10^7
Copper
6.0 × 10^7
Gold
4.3 × 10^7
Aluminum
3.8 × 10^7
Brass (70Cu-
1.6 × 10^7
30Zn)
Iron
1.0 × 10^7
Platinum
0.94 × 10^7
Plain Carbon Steel
0.6 × 10^7
Stainless Steel
0.2 × 10^7

Added by Cameron K.

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