Find the power of the circuit in $W$.

The equivalent resistance of the arrangement of resistances shown in the figure between the points $A$ and $B$ is ............... $\Omega$.

$A$ $100 \ V$ 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 $R$?

In the circuit shown,the currents $i_{1}$ and $i_{2}$ are

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 $..... \, \Omega$.

What should be the relationship between the values of the three resistors shown in the figure so that they produce equal heat energy?