In the circuit shown,the resistance of the voltmeter is $10,000 \, \Omega$ and that of the ammeter is $20 \, \Omega$. The ammeter reading is $0.10 \, A$ and the voltmeter reading is $12 \, V$. Then $R$ is equal to ............. $\Omega$.

An electric bulb rated for $500\, W$ at $100\, V$ is used in a circuit having a $200\, V$ supply. The resistance $R$ that must be put in series with the bulb,so that the bulb draws $500\, W$,is ................. $\Omega$.

$A$ 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 .............. $A$

When the capacitor is fully charged,find the current drawn from the $9\, V$ cell (in $mA$).

In the given circuit,the $5\, \Omega$ resistor dissipates $45\, J/s$ of heat due to the current flowing through it. The power dissipated per second in the $12\, \Omega$ resistor will be .............. $W$.

$A$ battery has an $e.m.f.$ of $4\, V$ and an internal resistance $r$. When this battery is connected to an external resistance of $2\, \Omega$,a current of $1\, A$ flows in the circuit. How much current will flow if the terminals of the battery are connected directly?