In 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 ........... $\Omega$.

In the given circuit diagram,in the steady state,the current through the battery and the charge on the capacitor respectively are:

In the following circuit composed of identical resistors,across which terminals would you connect a battery in order to dissipate energy in all resistors?

An ammeter and a voltmeter of resistance $R$ are connected in series to an electric cell of negligible internal resistance. Their readings are $A$ and $V$ respectively. If another resistance $R$ is connected in parallel with the voltmeter, what happens to the readings $A$ and $V$?

The figure shows a network of resistances in which the point $A$ is earthed. The current through the $3\,\Omega$ resistor is

Four resistances $10 \ \Omega$,$5 \ \Omega$,$7 \ \Omega$ and $3 \ \Omega$ are connected to form the sides of a rectangle $AB$,$BC$,$CD$,and $DA$ respectively. Another resistance of $10 \ \Omega$ is connected across the diagonal $AC$. The equivalent resistance between $A$ and $B$ is ............. $\Omega$.