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Physics · JEE | Current Electricity

हिन्दी

Referring to the parallel combination of cells shown in the figure, if two identical cells each of emf \( \varepsilon \) and internal resistance \( r \) are connected in parallel with their positive terminals joined together, the equivalent emf \( \varepsilon_{eq} \) and equivalent internal resistance \( r_{eq} \) are:

Question diagram
  1. A
    \( \varepsilon_{eq} = \frac{\varepsilon}{2}, r_{eq} = \frac{r}{2} \)
  2. B
    \( \varepsilon_{eq} = 2\varepsilon, r_{eq} = 2r \)
  3. C
    \( \varepsilon_{eq} = \varepsilon, r_{eq} = 2r \)
  4. D
    \( \varepsilon_{eq} = \varepsilon, r_{eq} = \frac{r}{2} \)
View Answer & Solution

Correct answer · Option D

\( \varepsilon_{eq} = \varepsilon, r_{eq} = \frac{r}{2} \)

Explanation

For two identical cells in parallel, \( \varepsilon_{eq} = \varepsilon \) and \( r_{eq} = \frac{r \cdot r}{r + r} = \frac{r}{2} \).
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