See the electrical circuit shown in this figure. Which of the following equations is a correct equation for it? (a) ε₂ - i₂r₂ - ε₁ - i₁r₁ = 0 (b) -ε₂ - (i₁ + i₂)R + i₂r₂ = 0 (c) ε₁ - (i₁ + i₂)R + i₁r₁ = 0 (d) ε₁ - (i₁ + i₂)R - i₁r₁ = 0

Answer: (d). i₁ and i₂ join at the left node, so (i₁ + i₂) flows through R from left to right. Loop through ε₁, r₁ and R: emf ε₁ drives i₁; drops are i₁r₁ and (i₁ + i₂)R. ε₁ - i₁r₁ - (i₁ + i₂)R = 0 So the answer is (d).

See the electrical circuit shown in this figure. Which of the… | NEET 2009 (AIPMT)

Q191NEET 2009 · AIPMTEasy

Kirchhoff's Laws & Measuring Instruments

See the electrical circuit shown in this figure. Which of the following equations is a correct equation for it?

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Answer: (d)

$i_1$ and $i_2$ join at the left node, so $(i_1 + i_2)$ flows through $R$ from left to right.
Loop through $\varepsilon_1$ , $r_1$ and $R$ : emf $\varepsilon_1$ drives $i_1$ ; drops are $i_1r_1$ and $(i_1 + i_2)R$ .
$\varepsilon_1 - i_1r_1 - (i_1 + i_2)R = 0$
So the answer is (d).

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