Find VA

qImage68400031a2a609c59aad78e9

This question was previously asked in
ISRO Scientist Electronics 2024 Official Paper
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  1. 24 V
  2. 12 V
  3. 10 V
  4. 8 V

Answer (Detailed Solution Below)

Option 1 : 24 V
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Detailed Solution

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The correct answer is option 1

Concept:

Applying source transformation across the load terminal, we get

Please see here that 10 Ω is the series equivalent of 8 Ω & 2 Ω obtained after applying the voltage current transformation

qImage685275bd192018ff333fc77d

As stated in the figure, assuming a lower potential to be grounded, the VA will appear directly.

Applying KCL, we get 

\(\frac{64-V_{A}}{10} =\frac{ V_{A}-16}{5} + \frac{V_{A}}{10}\)

⇒ 4VA = 96 

⇒ VA = 24 V

Hence, the value of VA will be 24 V

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