When a cell is connected to a resistance of $2\,\Omega$,the current flowing is $0.5\,A$. When it is connected to a resistance of $5\,\Omega$,the current flowing is $0.25\,A$. What is the $emf$ of the cell in $volt$?

$A$ cell of negligible internal resistance and $e.m.f.$ $2 \ V$ is connected to a series combination of $2 \ \Omega$,$3 \ \Omega$,and $5 \ \Omega$ resistors. The potential difference in volts between the terminals of the $3 \ \Omega$ resistor is:

In the circuit,$R_{1} = R_{2} = R$. The value of $E$ and $R_{1}$ are $\ldots \ldots \ldots$ ($E$ = $EMF$,$R_{1}$ = resistance).

In the circuit shown below,the resistances are given (in $\Omega$) and the battery is assumed ideal with an electromotive force (emf) equal to $3.0 \, V$. The resistor that dissipates the most power is

An infinite sequence of resistors is shown in the figure. The resultant resistance between $A$ and $B$ will be,when $R_1 = 1\,\Omega$ and $R_2 = 2\,\Omega$ ............. $\Omega$

Find the current in the $6\,\Omega$ resistance.