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Artemon [7]
3 years ago
6

A copper transmission cable 140 {\rm km} long and 12.5 {\rm cm} in diameter carries a current of 115 {\rm A}.

Physics
1 answer:
SpyIntel [72]3 years ago
5 0

Answer:

1. V=22.0407\ V

2. Q=9126837\ J

Explanation:

Given:

length of copper cable, l=140\ km=1.4\times 10^5\ m

diameter of copper cable, d=12.5\ cm=0.125\ m

current through the copper wire, i=115\ A

We have the resistivity of copper, \rho=1.68\times10^{-8}\ \Omega.m

<u>We know that the resistance of a wire is given as:</u>

R=\rho.\frac{l}{a}

where:

a= cross sectional area of the wire

R=1.68\times 10^{-8}\times\frac{140000}{\pi.\frac{0.125^2}{4} }

R=0.1917\ \Omega

1.

<u>Now from the  Ohm's law:</u>

V=R.i

V=0.1917\times 115

V=22.0407\ V

2.

<u>From the Joules law the thermal energy generated as an effect of electrical energy is mathematically given as:</u>

<u />Q=i^2.R.t

where:

t= time duration for which the current flows

Q=115^2\times 0.1917\times 3600 (∵ we have 3600 seconds in 1 hour)

Q=9126837\ J

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There must be an increase in the force in order to make both automobiles attain the same speed.

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Answer:

Displacement after 5 seconds is 155/2 meters

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