JEE MAIN - Physics (2022 - 29th June Evening Shift - No. 17)

The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of 2$$\Omega$$. The value of internal resistance of each cell is
2$$\Omega$$
4$$\Omega$$
6$$\Omega$$
8$$\Omega$$

Explanation

JEE Main 2022 (Online) 29th June Evening Shift Physics - Current Electricity Question 155 English Explanation

From diagram

$${i_p} = {E \over {2 + {r \over 2}}}$$ and $${i_s} = {{2E} \over {2 + 2r}}$$

given $${i_p} = {i_s}$$

$${1 \over {2 + {r \over 2}}} = {1 \over {1 + r}}$$

$$1 + r = 2 + {r \over 2}$$

$$r = 2\,\Omega $$

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