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Inductors in Circuits

In the follow...

Question

In the following circuit if $V_{A B} = 4 V$ , then the value of resistance X in ohms will be :-

A

5

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B

10

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C

15

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D

20

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Solution

The correct option is D 20
Here, $V_{A B} = \frac{E_{1} r_{2} + E_{2} r_{1}}{r_{1} + r_{2}}$
or $4 = \frac{(5 \times X) + (2 \times 10)}{10 + X}$
or $5 X + 20 = 40 + 4 X$
or $X = 20 Ω$

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