Question:
If $n$ identical cells each of emf $E$ and internal resistance $r$ are connected in parallel, the total EMF and total internal resistance are: ________.
If $n$ identical cells each of emf $E$ and internal resistance $r$ are connected in parallel, the total EMF and total internal resistance are: ________.
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Parallel: Voltage stays same; resistance decreases.
Updated On: Jun 26, 2026
- $nE, nr$
- $E, nr$
- $E, \frac{r}{n}$
- $nE, 2nr$
- $nE, \frac{r}{n}$
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The Correct Option is C
Solution and Explanation
Step 1: Concept
When identical cells are in parallel, the potential difference across them remains the same.
Step 2: Meaning
The equivalent EMF of $n$ identical cells in parallel is simply $E$.
Step 3: Analysis
The internal resistances are in parallel, so $1/R_{total} = 1/r + 1/r + \dots (n \text{ times}) = n/r$.
Step 4: Conclusion
Total EMF is $E$ and total internal resistance is $r/n$. Final Answer: (C)
When identical cells are in parallel, the potential difference across them remains the same.
Step 2: Meaning
The equivalent EMF of $n$ identical cells in parallel is simply $E$.
Step 3: Analysis
The internal resistances are in parallel, so $1/R_{total} = 1/r + 1/r + \dots (n \text{ times}) = n/r$.
Step 4: Conclusion
Total EMF is $E$ and total internal resistance is $r/n$. Final Answer: (C)
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