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The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of $\mathrm{2 \Omega}$ . The value of internal resistance of each cell is
Option: 1
$\mathrm{2 \Omega}$

Option: 2
$4 \Omega$

Option: 3
$6 \Omega$

Option: 4
$8 \Omega$

Answers (1)

best_answer

Figure 1

Figure 2

$\text{For fig(1)}$

$\mathrm{i=\frac{2 E}{2+2 r}=(i) }$

$\text{From fig(2)}$

$\mathrm{i=\frac{E}{2+\frac{r}{2}}=(i i) }$

$\mathrm{(i) =({i i})}$

$\mathrm{\frac{2 E}{2(1+r)}=\frac{2 E}{4+r}} \\$

$\mathrm{4+r=2+2 r }\\$

$\mathrm{4-2=r} \\$

$\mathrm{r=2 \Omega}$

Hence the correct answer is option 1

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Shailly goel

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