In the given electrical circuit,the potential difference between points $P$ and $Q$ is ........... $V$.

Consider the circuits shown in the figure. Both the circuits draw the same current from the battery,but the current through $R$ in the second circuit is $\frac{1}{10}$th of the current through $R$ in the first circuit. If $R = 11 \ \Omega$,the value of $R_1$ is ................ $\Omega$.

As shown,the circuit is made of $8$ different resistors. It is found that when $R_1 = 4\,\,\Omega,$ the resistance between $A$ and $B$ is $2\,\,\Omega.$ Now replace $R_1$ by a $6\,\,\Omega$ resistor,what is the resistance between $A$ and $B$?

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

$A$ constant voltage of $50 \ V$ is maintained between the points $A$ and $B$ of the circuit shown in the figure. The current through the branch $CD$ of the circuit is (in $A$)

In the given circuit, the current through the $2 \Omega$ resistor is: (in $\text{ A}$)