A battery of $24\,cells$ , each of emf $1.5\,V$ and internal resistance $2\,\Omega$ is to be connected in order to send the maximum current through a $12\,\Omega$ resistor. The correct arrangement of cells will be
Diffcult
Download our app for free and get started
Suppose $m$ rows are connected in parallel and each row contain $n$ identical cells (each cell
having $E=15 \mathrm{V}$ and $r=2 \Omega$ ) For maximum current in the external resistance $R,$ the neccessary
is $R=\frac{n r}{m} \Rightarrow 12=\frac{n \times 2}{m} \Rightarrow n=6 m$
Total cells $=24=n \times m$
On solving equation (i) and (ii) $n=12$ and $m=2$
i.e. 2 rows of 12 cells are connected in series.
Download our appand 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
- 1A railway compartment is lit up by thirteen lamps each taking $2.1\, amp$ at $15\, volts$. The heat generated per second in each lamp will be ............ $cal$View Solution
- 2A parallel combination of two resistors, of $1 \,\Omega$ each, is connected in series with a $1.5 \,\Omega$ resistor. The total combination is connected across a $10\, V$ battery. The current flowing in the circuit is .............. $A$View Solution
- 3When the switch $S$, in the circuit shown, is closed, then the value of current $i$ will be ................. $A$View Solution
- 4The balancing length for a cell is $560 \;\mathrm{cm}$ in a potentiometer experiment. When an external resistance of $10 \;\Omega$ is connected in parallel to the cell, the balancing length changes by $60\; \mathrm{cm} .$ If the internal resistance of the cell is $\frac{\mathrm{N}}{10} \;\Omega,$ where $\mathrm{N}$ is an integer then value of $\mathrm{N}$ isView Solution
- 5In the diagram shown, the reading of voltmeter is $20\, V$ and that of ammeter is $4\, A$. The value of $R$ should be (Consider given ammeter and voltmeter are not ideal)View Solution
- 6View SolutionA resistance is shown in the figure. Its value and tolerance are given respectively by
- 7Two cells are connected between points $A$ and $B$ as shown. Cell $1$ has emf of $12\,V$ and internal resistance of $3\,\Omega$. Cell $2$ has emf of $6\,V$ and internal resistance of $6\,\Omega$. An external resistor $R$ of $4\,\Omega$ is connected across $A$ and $B$. The current flowing through $R$ will be $.............A$.View Solution
- 8In the given circuit the internal resistance of the $18\,V$ cell is negligible. If $R_1 = 400 \,\Omega ,\,R_3 = 100\,\Omega $ and $R_4 = 500\,\Omega $ and the reading of an ideal voltmeter across $R_4$ is $5\,V,$ then the value of $R_2$ will be ........... $\Omega$View Solution
- 9Time taken by a $836\; W$ heater to heat $1\; litre$ of water from $10^{\circ} C$ to $40^{\circ} C$ isView Solution
- 10A Copper $(Cu)$ rod of length $25\, {cm}$ and cross- sectional area $3\, {mm}^{2}$ is joined with a similar Aluminium $(Al)$ rod as shown in figure. Find the resistance of the combination between the ends $A$ and $B$ (in ${m} \Omega$)View Solution
(Take Resistivity of Copper $=1.7 \times 10^{-8}\, \Omega \,{m}$, Resistivity of Aluminium $=2.6 \times 10^{-8}\, \Omega \,{m}$ )
