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

Question

There are a large number of cells available, each marked (6 V , 0.5 Ω) to be used to supply current to a device of resistance 0.75 Ω, requiring 24 A 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

Tardigrade Admin · Accepted Answer

E=6 V r=0.5 Ω R=0.75 Ω i=24 Ω S(0.5)=P(0.75) 2 s=3 p i=(P S E/S r+P R) 24=(P((3/2) P) 6/15 P) P=4 rows S=6 cells

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

Six rows, each containing four cells

Four rows, each containing six cells

Four rows, each containing four cells

Six rows, each containing six cells

$E = 6 V$
$r = 0.5 Ω$
$R = 0.75 Ω$
$i = 24 Ω$
$S (0.5) = P (0.75)$
$2 s = 3 p$
$i = \frac{PSE}{S r + PR}$
$24 = \frac{P ( \frac{3}{2} P ) 6}{15 P}$
$P = 4$ rows
$S = 6$ cells

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