$A$ $100\, V$ voltmeter of internal resistance $20\, k\Omega$ in series with a high resistance $R$ is connected to a $110\, V$ line. The voltmeter reads $5\, V$. The value of $R$ is ................ $k\Omega$.

In the circuit shown,the current through $R_2$ is zero. If $R_4 = 2\,\Omega$ and $R_3 = 4\,\Omega$,the current through $R_3$ will be ................. $A$.

When an ammeter of negligible internal resistance is inserted in series with the circuit,it reads $1 \, A$. When a voltmeter of very large resistance is connected across $X$,it reads $1 \, V$. When points $A$ and $B$ (across $Y$) are shorted by a conducting wire,the voltmeter measures $10 \, V$ across the battery. The internal resistance of the battery is equal to .............. $\Omega$.

In the given circuit,find the maximum power consumed by the variable load resistance $R_L$.

An electric bulb rated as $200 \, W$ at $100 \, V$ is used in a circuit having $200 \, V$ supply. The resistance $R$ that must be put in series with the bulb so that the bulb delivers the same power is $..... \, \Omega$.

$A$ series combination of two resistors $1\,\Omega$ each is connected to a $12\,V$ battery of internal resistance $0.4\,\Omega$. The current flowing through the circuit will be ............... $A$.