Current Electricity Charging Discharging Of Capacitors Question 655

Question: The n rows each containing m cells in series are joined in parallel. Maximum current is taken from this combination across an external resistance of $ 3\Omega $ resistance. If the total number of cells used are 24 and internal resistance of each cell is 0.5 $ \Omega $ then

Options:

A) $ m=8,,n=3 $

B) $ m=6,,n=4 $

C) $ m=12,,n=2 $

D) $ m=2,,n=12 $

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Answer:

Correct Answer: C

Solution:

[c] Total cells $ =m\times n=24 $ … (i) For maximum current in the circuit $ R=\frac{mr}{n} $
$ \Rightarrow 3=\frac{m}{n}\times (0.5)\Rightarrow m=6n $ … (ii) On solving Eqs. (i) And (ii), we get $ m=12,n=2 $