A battery of 24 cells,each of emf 1.5, V and | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let $m$ be the number of rows connected in parallel and $n$ be the number of cells in each row. The total number of cells is $N = n 	imes m = 24$

Vedclass · Accepted Answer

$2$ rows of $12$ cells connected in parallel

Vedclass · Answer

(A) Let $m$ be the number of rows connected in parallel and $n$ be the number of cells in each row. The total number of cells is $N = n 	imes m = 24$.The condition for maximum current through an external resistance $R$ is that the total internal resistance of the battery must be equal to the external resistance:$R = \frac{nr}{m}$Given $R = 12\, \Omega$,$r = 2\, \Omega$,and $N = 24$:$12 = \frac{n 	imes 2}{m} \Rightarrow 6m = n$Substitute $n = 6m$ into the total cell equation $n 	imes m = 24$:$(6m) 	imes m = 24$$6m^2 = 24$$m^2 = 4 \Rightarrow m = 2$Now,find $n$:$n = 6 	imes 2 = 12$Thus,there are $2$ rows,each containing $12$ cells connected in series,and these rows are connected in parallel.

$A$ battery of $24$ cells,each of emf $1.5\, V$ and internal resistance $2\, \Omega$,is to be connected to send the maximum current through a $12\, \Omega$ resistor. The correct arrangement of cells will be:

Similar Questions

Ten identical cells each of potential $E$ and internal resistance $r$ are connected in series to form a closed circuit. An ideal voltmeter connected across three cells will read $...........E$.

Two identical batteries, each of $e.m.f.$ $2\,V$ and internal resistance $1.0\,\Omega$, are available to produce heat in an external resistance $R = 0.5\,\Omega$ by passing a current through it. The maximum Joulean power that can be developed across $R$ using these batteries is ............. $W$.

If the $EMF$ of each cell is $E = 1.5 \text{ V}$ and internal resistance is $r$, as shown in the figure, what is the current $i$ flowing through the circuit (in $\text{ A}$)?

To get the maximum current from a parallel combination of $n$ identical cells,each of internal resistance $r$,connected to an external resistance $R$,which of the following conditions must be satisfied?

Vedclass Test Series

Exam Paper Generator

Online Exam Module