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  4. <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-cgvl6emo4oxivvof.jpg /> Two batteries, one of E.M.F. 18 V and internal resistance 2 Ω and other of E.M.F. 12 V and internal resistance 1 Ω , are connected as shown. The voltmeter V will record a reading of

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Q. Question
Two batteries, one of E.M.F. $18 \, V$ and internal resistance $2 \, \Omega$ and other of E.M.F. $12 \, V$ and internal resistance $1 \, \Omega$ , are connected as shown. The voltmeter $V$ will record a reading of

NTA AbhyasNTA Abhyas 2022

Solution:

Since the cells are in parallel, $\text{V}=\frac{\frac{\text{E}_{1}}{\text{r}_{1}} + \frac{\text{E}_{2}}{\text{r}_{2}}}{\frac{1}{\text{r}_{1}} + \frac{1}{\text{r}_{2}}}=\frac{\frac{18}{2} + \frac{12}{1}}{\frac{1}{2} + \frac{1}{1}}=\frac{21}{\text{1.5}}=14V$