Find the value of $V_{X}$ in the figure shown

+ 20 V

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- 30 V

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- 20 V

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None

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Solution

The correct option is A $+ 20 V$
Step 1: Apply source transformation for the dependent voltage source $V_{X}$

Step 2: Apply source transformation for $10 V$ voltage source

Step 3: Apply source transformation for $5 A$ current source

Apply KVL,
$- 5 + I + V_{X} = 0$
$V_{X} + I = 5$ ... (i)
$- V_{X} + 2 V_{X} + 2 I + 10 = 0$
$V_{X} + 2 I = - 10$ ... (ii)
Solving (i) & (ii)
$V_{X} = 20 V$

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