The $n$ rows each containing $m$ cells in series are joined in parallel. Maximum current is taken from this combination across an external resistance of $3 \,\Omega$ resistance. If the total number of cells used are $24$ and internal resistance of each cell is $0.5 \,\Omega$ then
Diffcult
Download our app for free and get startedPlay store
(c) Total cells = $m × n = 24 $.... $(i)$

For maximum current in the circuit $R = \frac{{mr}}{n}$

$==>$ $3 = \frac{m}{n} \times (0.5)$

$==>$ $m = 6n$ ..... $(ii)$

On solving equation $(i)$ and $(ii)$, we get $m = 12, n =2$

art

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.*

Similar Questions

  • 1
    In the given circuit diagram, a wire is joining points $B$ and $D$. The current in this wire is ............. $A$
    View Solution
  • 2
    What is the equivalent resistance between  $A$ and $B$
    View Solution
  • 3
    Find current through the branch $ad$ of the circuit shown in figure. :-............. $A$
    View Solution
  • 4
    In the network shown the potential difference between $A$ and $B$ is ................. $V$ $(R = r_1 = r_2 = r_3 = 1 \Omega$ ,$ E_1 = 3\, V, E_2 = 2\, V, E_3 = 1\, V)$
    View Solution
  • 5
    In an electrical cable there is a single wire of radius $9\, mm$ of copper. Its resistance is $5\,\Omega $. The cable is replaced by $6$ different insulated copper wires, the radius of each wire is $3\,mm$. Now the total resistance of the cable will be ............... $\Omega$
    View Solution
  • 6
    A torch bulb rated as $4.5\, W$, $1.5\, V$ is connected as shown in the figure. The $e.m.f.$ of the cell needed to make the bulb glow at full intensity is ................ $V$
    View Solution
  • 7
    A torch battery consisting of two cells of $1.45\, volts$ and an internal resistance $0.15\,\Omega $, each cell sending currents through the filament of the lamps having resistance $1.5\,ohms$. The value of current will be ....... $A$
    View Solution
  • 8
    The resistance of all the wires between any two adjacent dots is $R$. Then equivalent resistance between $A$ and $B$ as shown in figure is :
    View Solution
  • 9
    The ratio of heat dissipated per second through the resistance $5 \Omega$ and $10 \Omega$ in the circuit given below is: :
    View Solution
  • 10
    Current measured by the ammeter $(A)$ in the reported circuit when no current flows through $10\,\Omega$ resistance. will be________$A$
    View Solution