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  • Two identical cells, when connected either in parallel or in series gives same current in an external resistance <img alt="5\Omega" src="https://entrancecorner.oncodecogs.com/gif.latex?5%5COmega" /

Two identical cells, when connected either in parallel or in series gives same current in an external resistance 5\Omega. The internal resistance of each cell will be ______ \Omega.

Option: 1

5


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{ r_{\mathrm{eq}_1}=\frac{r}{2}, r_{\mathrm{eq_2}}=2 r }
\mathrm{ E_{\mathrm{eq}_1}=\frac{r}{2}\left(\frac{E}{r}+\frac{E}{r}\right)=E, E_{\mathrm{eq_2}}=2 E }
\mathrm{ I_1=\frac{E}{5+\frac{r}{2}}, I_2=\frac{2 E}{2 r+5} }
\mathrm{ I_1=I_2 }
\mathrm{ 2 r+5=2\left(5+\frac{r}{2}\right) }
\mathrm{ r=5 \Omega}
 

Posted by

Ritika Kankaria

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