In the circuit shown, all voltmeters & ammeter are ideal. The internal resistance of battery is 20Ω. The readings of voltmeter and ammeter are marked in the figure. What is resistance R2 (in ohm)?

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Question

In the circuit shown, all voltmeters & ammeter are ideal. The internal resistance of battery is 20Ω. The readings of voltmeter and ammeter are marked in the figure. What is resistance R₂ (in ohm)?

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V₁ + V₂ + V₃ = 120 – 20 (0.5)
⟹ V₁ + V₂ + V₃ = 110 V .... (1)

Also V₁ + V₂ = 60 ⟹ V₃ = 110 – 60 = 50V
Now V₂ + V₃ = 90 ⟹ V₂ = 40V

$∴ R_{2} = \frac{40}{0.5} = 80 Ω$

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