Given below are two statements: Statement-I: The equivalent emf of… | JEE Main 2025 (22 Jan, Shift 1)

Q9JEE Main 2025 · 22 JAN · SHIFT 1Medium

Cells: EMF, Internal Resistance & Combinations

Given below are two statements:

Statement-I: The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs.

Statement-II: The equivalent internal resistance of two nonideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries.

In the light of the above statements, choose the correct answer from the options given below.

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Answer: (a)

Statement I: $E_{eq} = \frac{E_1 r_2 + E_2 r_1}{r_1 + r_2}$ is a weighted average, so it lies between $E_1$ and $E_2$ , not below both. False.
Statement II: $r_{eq} = \frac{r_1 r_2}{r_1 + r_2}$ is smaller than each of $r_1$ , $r_2$ . True.
So the answer is (a) Statement-I is false but Statement-II is true.

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Cells: EMF, Internal Resistance & Combinations question from JEE Main 2025 (22 Jan, Shift 1)

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