Question

a 5v battery with internal resistance 2ohm and a 2v battery with internal resistance are connected to a 10ohm resistance ​

Answer 1

Solution:

We know,

$\sf\red{In \: parallel \: battery \: combination,}$

$\longmapsto\tt{\dfrac{E_eq}{r_eq} = \dfrac{E_1}{r_1} + \dfrac{E_2}{r_2}}$

$\sf\red{Here \: the \: polarities \: are \: unlike.}$

$\longmapsto\tt{\dfrac{E_eq}{ \frac{2}{3}} \: = \dfrac{5}{2} -\dfrac{2}{1} = 0.5}$

$\longmapsto\tt{E_eq =\dfrac{1}{3}}$

$\longmapsto\tt{r_eq =\dfrac{2}{3}}$

$\longmapsto\tt{r_eq = r_eq + 10 = \dfrac{32}{3}}$

$\longmapsto\tt{I = \dfrac{E_eq}{R_eq} = \dfrac{1}{32} = 0.031A}$

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Answer 2

Check the given attachment.