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Physics Part-I

Alternating Current

A small town with a demand of 800 kW of electric power at 220

Physics Part-I

Class 12

NCERT

Chapter 1: Electric Charges and Fields

47 questions

Chapter 2: Electrostatic Potential and Capacitance

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Chapter 3: Current Electricity

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Chapter 4: Moving Charges and Magnetism

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Chapter 5: Magnetism and Matter

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Chapter 6: Electromagnetic Induction

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Chapter 7: Alternating Current

37 questions

At a hydroelectric power plant, the water pressure head is at a height of 300 m and the water flow available is 100

m^{3} s^{- 1}

. If the turbine generator efficiency is 60%, estimate the electric power available from the plant (g = 9.8

m s^{- 2}

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, assug there is negligible power loss due to leakage?

Do the same exercise as above with the replacement of the earlier transformer by a 40,000-220 V step-down transformer (Neglect, as before, leakage losses though this may not be a good assumption any longer because of the very high voltage transmission involved).Hence, explain why high voltage transmission is preferred?

Exercise:

[

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.

]

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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, assug there is negligible power loss due to leakage?
(c) Characterise the step up transformer at the plant.

Uploaded: 2023-07-23T06:06:22.000Z
Duration: 22 min

Views: 6,054 students

Updated on: Jul 23, 2023

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Physics Part-I (NCERT)

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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, assug there is negligible power loss due to leakage?

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

RMS current in the coil

I = P / V_{1} = 800 \times 1 0^{3} /4000 = 200 A

(a)

Power loss = $I^{2} R = 20 0^{2} \times 15 = 600 kW$

(b)

Total power supplied by the path is $P = 800 + 600 = 1400 kW$

(c)

Voltage drop is $I R = 3000 V$

Hence secondary voltage is $3000 + 4000 = 7000 V$

Power generated is at primary voltage of $440 V$

Hence the transformer rating is $440 V - 7000 V$

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Practice more questions from Physics Part-I (NCERT)

At a hydroelectric power plant, the water pressure head is at a height of 300 m and the water flow available is 100

m^{3} s^{- 1}

. If the turbine generator efficiency is 60%, estimate the electric power available from the plant (g = 9.8

m s^{- 2}

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, assug there is negligible power loss due to leakage?

Exercise:

[

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.

]

View all

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Question Text	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, assug there is negligible power loss due to leakage? (c) Characterise the step up transformer at the plant.
Updated On	Jul 23, 2023
Topic	Alternating Current
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	92
Avg. Video Duration	22 min

Text solutionVerified

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