The resistance of a heater coil is $110\, \Omega$. $A$ resistance $R$ is connected in parallel with it,and the combination is joined in series with a resistance of $11\, \Omega$ to a $220\, V$ main line. The heater operates with a power of $110\, W$. The value of $R$ in $\Omega$ is

Five identical resistors, each of resistance $R = 1500 \Omega$, are connected to a $300 \text{ V}$ battery as shown in the circuit. The reading of the ideal ammeter $A$ is: (in $\text{ A}$)

By a cell,a current of $0.9\, A$ flows through a $2\, \Omega$ resistor and $0.3\, A$ flows through a $7\, \Omega$ resistor. The internal resistance of the cell is ............ $\Omega$.

The resistance of a voltameter is $2\,\Omega$. It is connected in series to a battery of $10\,V$ through a resistance of $3\,\Omega$. In a certain time,the mass deposited on the cathode is $1\,g$. Now,the voltameter and the $3\,\Omega$ resistance are connected in parallel with the battery. The increase in the deposited mass on the cathode in the same time will be .............. $g$.

The equivalent resistance between the points $A$ and $B$ in the following infinite circuit is (in $Omega$)

$A$ $DC$ source with internal resistance $R_0$ is connected to three identical resistors each of resistance $R$ as shown in the figure. If the thermal power generated in the circuit is highest,then