7.25 A small town with a demand of 800 kW of electric power at 220 V is situated 15 km away from an electric plant generating power at 440 V. The resistance of the two wire line carrying power is 0.5 Ω per km. The town gets power from the line through a 4000-220 V step-down transformer at a sub-station in the town.

(a) Estimate the line power loss in the form of heat.

(b) How much power must the plant supply, assuming there is negligible power loss due to leakage?

(c) Characterize the step up transformer at the plant.

0 9 Views | Posted 4 months ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    4 months ago

    7.25 Total electric power required, P = 800 kW = 800 ×103 W

    Supply voltage, V = 220 V

    Electric plant generating voltage, V’ = 440 V

    Distance between the town and power generating station, d = 15 km

    Resistance of the two wires lines carrying power = 0.5 Ω /km

    Total resistance of the wire, R = 2 ×15×0.5Ω = 15 Ω

    Step-down transformer rating 4000 – 220 V, hence

    Input voltage to the transformer,  V1 = 4000 V

    Output voltage from the transformer,  V2 = 220 V

    rms current in the wire lines is given as

    I = PV1 = 800×1034000 = 200 A

    Line power loss = I2R = 2002× 15 = 600 ×103 W = 600 kW

    ...more

Similar Questions for you

A
alok kumar singh

Kindly go through the solution

 

A
alok kumar singh

Kindly go through the solution

 

A
alok kumar singh

I = Q 0 . ω            

= C V L C = V C L

= 1 2 1 0 0 × 1 0 6 1 0 × 1 0 3

= 1.2 A

A
alok kumar singh

Lω = 1000 L                            Lω = R.

New

R = 1000 L

2000 L

c o s θ = R Z

= 1 0 0 0 L ( 1 0 0 0 L ) 2 + ( 2 0 0 0 ? L ) 2

= 1 1 + 4 = 1 5

 

A
alok kumar singh

= IV cosf

= 2 0 2 * 2 2 *  cos 60°

= 10 W

 

Get authentic answers from experts, students and alumni that you won't find anywhere else

Sign Up on Shiksha

On Shiksha, get access to

  • 65k Colleges
  • 1.2k Exams
  • 687k Reviews
  • 1800k Answers

Learn more about...

Share Your College Life Experience

Didn't find the answer you were looking for?

Search from Shiksha's 1 lakh+ Topics

or

Ask Current Students, Alumni & our Experts

×
×

This website uses Cookies and related technologies for the site to function correctly and securely, improve & personalise your browsing experience, analyse traffic, and support our marketing efforts and serve the Core Purpose. By continuing to browse the site, you agree to Privacy Policy and Cookie Policy.

Need guidance on career and education? Ask our experts

Characters 0/140

The Answer must contain atleast 20 characters.

Add more details

Characters 0/300

The Answer must contain atleast 20 characters.

Keep it short & simple. Type complete word. Avoid abusive language. Next

Your Question

Edit

Add relevant tags to get quick responses. Cancel Post