First slide

Cell

Question

N identical cells are connected to form a battery. When the terminals of the battery are joined directly (short-circuited), current I flows in the circuit. To obtain the maximum value of I,

Moderate

A

all the cells should be joined in series
B

all the cells should be joined in parallel
C

two rows of N/2 cells each should be joined in parallel
D

$\sqrt{N}$ rows of $\sqrt{N}$ cells each should be joined in parallel, given that $\sqrt{N}$ is an integer

Solution

For series connection, $I_{\min} = \frac{N ε}{N r} = \frac{ε}{r}$
For parallel connection, $I_{\max} = \frac{ε}{(r / N)} = \frac{N ε}{r}$

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