Question

There are a large number of cells available, each marked $(6V,0.5\Omega )$ to be used to supply current to a device of resistance $0.75\Omega$, requiring $24A$ current. How should the cells be arranged, so that power is transmitted to the load using minimum number of cells?

• A. Six rows, each containing four cells
• B. Four rows, each containing six cells
• C. Four rows, each containing four cells
• D. Six rows, each containing Six cells

Answer 1

The correct option is B Four rows, each containing six cells

Cells and $EMF$

Power is transmitted to the load if external resistance total internal resistance of all the cells

$R=\frac{nr}{m}$

if $n$ cells are in series and there are ${}^{\prime }{m}^{\prime }$ rows of cells in parallel

$\left(1\right)u$ rows each containing $6$ cells is $requiredanswer$

because

$n=6$ & $m=4$

$R=\frac{6\times 0.5}{4}=0.75ohm$

perfect for the transmission at power to the load

$.750ohm$