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klio [65]
3 years ago
11

If 65 kW is to be transmitted over two 0.100 ohm lines, estimate how much power is saved if the voltage is stepped up from 120 V

to 1200 V
Physics
1 answer:
MAXImum [283]3 years ago
3 0

Answer: 5.91kw

Explanation:

given data:

power = 65kw

voltage stepped up = 120v t0 1200

R 0.100

<u>Solution:</u>

when the it is stepped to 120v

P = VI \\65000/ 120I\\ I = 541.7A\\

power loss

(I^{2} )R*2\\= (541.7^{2})0.100*2\\= 58536.2w

when it is stepped to 1200v

\frac{65000}{1200} \\ I = 54.17A\

(I^{2} )R*2\\= (54.17^{2})0.100*2\\= 586.9w

total power saved

= 65kw - 58.5kw - 0.59kw\\= 5.91kw

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