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Circuit Theory

KCL and KVL

In the circui...

Question

In the circuit shown in figure, X is an element which always absorbs power. During a particular operation, it sets up a current to 1 amp in the direction shown and absorbs a power $P_{x}$ , It is possible that X can absorb the same power $P_{x}$ for another current i. Then the value of this current is

(3 -

\sqrt{14}

) A

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(3 +

\sqrt{14}

) A

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5 A

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None of these

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Solution

The correct option is C 5 A
$P_{x} = P_{6 v} - P_{1 Ω} = 6 \times 1 - 1^{2} \times 1 = 5 W$

By putting the options, it can be concluded that for i = 5 A

$P_{x} = (6 \times 5) - (5^{2} \times 1) = 5 W$

Option (c) is correct

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In the circuit shown in figure, X is an element which always absorbs power. During a particular operation, it sets up a current to 1 amp in the direction shown and absorbs a power Px, It is possible that X can absorb the same power Px for another current i. Then the value of this current is

The correct option is C 5 APx=P6v−P1Ω=6×1−12×1=5W By putting the options, it can be concluded that for i = 5 A Px=(6×5)−(52×1)=5W Option (c) is correct

The correct option is C 5 A
$P_{x} = P_{6 v} - P_{1 Ω} = 6 \times 1 - 1^{2} \times 1 = 5 W$

By putting the options, it can be concluded that for i = 5 A

$P_{x} = (6 \times 5) - (5^{2} \times 1) = 5 W$

Option (c) is correct