Is the correct answer C?
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Answer:
yes the correct answer is C
Verified answer
Answer:
The correct option is (C) 1.6 V
Explanation:
The voltage across the given circuit is 4V.
5Ω is in parallel connection with (2Ω and 3Ω).
In a parallel circuit, the potential difference across each arm is the same.
So, the potential difference in each arm is 4 V.
2Ω and 3Ω are connected in series. The potential difference across these resistors differs.
Let the potential difference across 2Ω resistor be V₁ and across 3Ω be V₂.
Since the potential difference in the arm is 4V.
⇒V₁ + V₂ = 4
⇒ V₂ = 4 - V₁
As we know, V = iR
where
V is directly proportional to the resistance.
V ∝ R
V₁ : V₂ = 2 : 3
⇒ V₁/(4 - V₁) = 2/3
⇒ 3V₁ = 2(4 - V₁)
⇒ 3V₁ = 8 - 2V₁
⇒ 5V₁ = 8
⇒ V₁ = 8/5
⇒ V₁ = 1.6 V
Therefore, the potential difference across 2Ω in the given circuit is 1.6 V.