Question #142183

3.1 A copper and an aluminium conductor are connected in parallel to supply a load

of 300A over a distance of 500m. The two conductors have equal cross-sectional

areas of 50mm2. Take the resistivity of coper as 0.018Âµâ„¦m and that of aluminium as

0.028Âµâ„¦m and calculate

3.1.1 the total resistance of the two conductors (9)

3.1.2 The voltage drop across the compound line (3)

3.1.3 The current carried by each conductor (6)

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of 300A over a distance of 500m. The two conductors have equal cross-sectional

areas of 50mm2. Take the resistivity of coper as 0.018Âµâ„¦m and that of aluminium as

0.028Âµâ„¦m and calculate

3.1.1 the total resistance of the two conductors (9)

3.1.2 The voltage drop across the compound line (3)

3.1.3 The current carried by each conductor (6)

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Expert's answer

Solution: Following are the datas given,

Length of Aluminium conductor( ) = Length of copper conductor ( ) = 500m

Area of cross section of Aluminium conductor( ) = Area of cross section of copper conductor ( ) = 50mm^{2.} = m

Resistivity of copper ( ) = 0.018

Resistivity of aluminium( ) = 0.028

The total load current = 300A.

(3.1.1)There fore,

Total resistance of Copper conductor = =

** = **** **

Total resistance of Aluminium conductor = =

=** **** **

Total resistance of two conductors will be = =** **

(3.1.2) Voltage drop across the compound line = Load current

=

(3.1.3) Current carried by aluminium conductor =

Current carried by Copper conductor =

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