The equivalent resistance between the points $A$ and $B$ is (in $\Omega$):

$A$ $100 \ V$ voltmeter having a resistance of $20 \ k\Omega$ is connected in series with a very high resistance $R$. When it is connected to a $110 \ V$ line,it reads $5 \ V$. What is the value of $R$?

$A$ battery of emf $E$ has an internal resistance $r$. $A$ variable resistance $R$ is connected to the terminals of the battery. $A$ current $i$ is drawn from the battery. $V$ is the terminal potential difference. If $R$ alone is gradually reduced to zero,which of the following best describes $i$ and $V$?

The figure shows three circuits $I, II$ and $III$ which are connected to a $3\,V$ battery. If the powers dissipated by the configurations $I, II$ and $III$ are $P_1, P_2$ and $P_3$ respectively,then

Three resistors having resistances $r_{1}, r_{2}$ and $r_{3}$ are connected as shown in the given circuit. The ratio $\frac{i_{3}}{i_{1}}$ of currents in terms of resistances used in the circuit is :

The total current supplied to the circuit by the battery is ............. $A$.