There are a large number of cells available, each marked $(6 \,V , 0.5 \,\Omega)$ to be used to supply current to a device of resistance $0.75 \,\Omega$, 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
Medium
Download our app for free and get started
B
Four rows, each containing six cells
b (b)
$E=6 \,V$
$r=0.5 \,\Omega$
$R=0.75 \,\Omega$
$i=24 \,\Omega$
$S(0.5)=P(0.75)$
$2 \,s=3 p$
$i=\frac{P S E}{S r+P R}$
$24=\frac{P\left(\frac{3}{2} P\right) 6}{15 P}$
$P=4$ rows
$S=6$ cells
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
In the following diagram, the lengths of wires $A B$ and $B C$ are equal, but the radius of wire $A B$ is double that of $B C$. The ratio of potential gradient on wires $A B$ and on $B C$ will be (wires are made of same material)
Resistance of the wire is measured as $2\,\Omega$ and $3\,\Omega$ at $10^{\circ}C$ and $30^{\circ}C$ respectively. Temperature cocoefficient of resistance of the material of the wire is............$^{\circ}C ^{-1}$
Two wires of the same material and equal length are joined in parallel combination. If one of them has half the thickness of the other and the thinner wire has a resistance of $8\, ohms$, the resistance of the combination is equal to
The voltage of clouds is $4 \times 10^6\,volt$ with respect to round. In a lighteing strike lasting $100\,m\,sec$, a charge of $4\,coulombs$ is delivered to the ground. The power of lightening strike is
The current in a wire varies with time according to relation $I = 4 + 2t$. The quantity of charge which has passed through a crosssectionn of the wire during the time $t = 2\, s$ to $t = 6\, s$ will be .............. $\mathrm{C}$
The figure shows a network of resistors and $a$ battery. If $1\,A$ current flowsthrough the branch $CF$, then answer the following questions The $\mathrm{emf}$ $E$ of the battery is If a zero resistance wire is connected in parallel to branch $CF$ ............... $V$