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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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

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]

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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