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Standard XII

Physics

Transformer

A generator a...

Question

A generator at a utility company produces $100 A$ of current at $4000 V$ . The voltage is stepped up to $240000 V$ by a transformer before it is sent on a high voltage transmission line. The current in transmission line is

3.67 A

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2.67 A

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1.67 A

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2.40 A

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Solution

The correct option is C $1.67 A$
Given : $V_{1} = 4000$ volts $I_{1} = 100$ A $V_{2} = 240000$ volts
Using $V_{1} I_{1} = V_{2} I_{2}$
$∴$ $4000 \times 100 = 240000 \times I_{2}$ $⟹ I_{2} = 1.67$ A

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Similar questions

The voltage of power generated at the generating stations is first stepped up before its transmission. Give reason.

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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?

Q. 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 generator at a utility company produces 100A of current at 4000V. The voltage is stepped up to 240000V by a transformer before it is sent on a high voltage transmission line. The current in transmission line is

The correct option is C 1.67AGiven : V1=4000 volts I1=100 A V2=240000 voltsUsing V1I1=V2I2∴ 4000×100=240000×I2 ⟹I2=1.67 A

A generator at a utility company produces $100 A$ of current at $4000 V$ . The voltage is stepped up to $240000 V$ by a transformer before it is sent on a high voltage transmission line. The current in transmission line is

The correct option is C $1.67 A$
Given : $V_{1} = 4000$ volts $I_{1} = 100$ A $V_{2} = 240000$ volts
Using $V_{1} I_{1} = V_{2} I_{2}$
$∴$ $4000 \times 100 = 240000 \times I_{2}$ $⟹ I_{2} = 1.67$ A