Two cells having internal resistance 0 . 2 Ω and 0 . 4 Ω are connected in parallel with the same polarity. The voltage across the battery terminals is 1 . 5 V . If the emf of the first cell is 1 . 2 V

Question

Two cells having internal resistance 0 . 2 Ω and 0 . 4 Ω are connected in parallel with the same polarity. The voltage across the battery terminals is 1 . 5 V . If the emf of the first cell is 1 . 2 V , then what is the emf of the second cell (in volt)?

TestHub · Accepted Answer

Given that, the resultant voltage across the battery terminal= $1.5 V$

Clearly, $1.2$ Volt Battery is Charging and another battery is discharging given,

$1.2 + 0.2 I = 1.5$

$\Rightarrow I = \frac{3}{2} A$

$E - 0.4 I = 1.5$

$\Rightarrow E = 1.5 + 0.4 \times \frac{3}{2}$

$\Rightarrow E = 2.1 V$

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