a) 500000 / 150 + 1 = 3335 towers
b) 500000 / 1.2 = 416667 times larger
Answer:
(a) The number of required towers is 3334.
(b) The voltage in the power line is [tex]\frac{1250000}{3}[/tex] or 416666.67 times of the power of battery.
Step-by-step explanation:
Given information: Length of power line is 500 km and voltage of power line is 500 kV. (The V stands for "volts", an SI unit for electrical potential.)
(a)
It is given that the towers supporting the line are 1.5 hm apart.
We need to find the number of required towers.
1km = 10 hm
[tex]\frac{500\times 10}{1.5}=3333.333\approx 3334[/tex]
Therefore the number of required towers is 3334.
(b)
It is given that a rechargeable AA battery produces approximately 1.2 volts.
We need to find by how many times larger is the voltage in the power line than that of the battery.
1 kV = 1000 V
[tex]\frac{500\times 1000}{1.2}=\frac{1250000}{3}[/tex]
Therefore the voltage in the power line is [tex]\frac{1250000}{3}[/tex] or 416666.67 times of the power of battery.
