Current Electricity Ques 78

78. Two cities are $150 km$ apart. Electric power is sent from one city to another city through copper wires. The fall of potential per $km$ is 8 volt and the average resistance per $km$ is $0.5 \Omega$. The power loss in the wires is :

(a) $19.2 W$

(b) $19.2 kW$

(c) $19.2 J$

(d) $12.2 kW$

[2014]

Show Answer

Answer:

Correct Answer: 78.(b)

Solution:

  1. (b) Total resistance $R=(0.5 \Omega / km) \times(150 km)$ $=75 \Omega$

Total voltage drop $=(8 V / km) \times(150 km)=1200 V$

Power loss $=\frac{(\Delta V)^{2}}{R}=\frac{(1200)^{2}}{75} W$

$=19200 W=19.2 kW$



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