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Conductivity and Resistivity

In the follow...

Question

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

5

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10

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15

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20

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Solution

The correct option is D $20$
$I = \frac{5 - 2}{10 + X} = \frac{3}{10 + X}$
$V_{A} - 2 - I X = V_{B}$ $\Rightarrow V_{A} - V_{B} = 2 + \frac{3 X}{10 + X} = 4$
$\Rightarrow X = 20 Ω$

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