When a current of $2 \ A$ flows through a conductor,$80 \ J$ of heat is produced in $10 \ s$. The resistance of the conductor is ........... $\Omega$.

In the circuit shown, the heat produced in $5 \Omega$ resistance due to current $I_2$ is $50 \text{ J/s}$. Then, the heat generated per second in $2 \Omega$ resistance is (in $\text{ J/s}$)

In the circuit shown below,the cell has an $e.m.f.$ of $10\,V$ and internal resistance of $1\,\Omega$. The other resistances are shown in the figure. The potential difference ${V_A} - {V_B}$ is ................ $V$.

$A$ $3\,V$ battery with negligible internal resistance is connected in a circuit as shown in the figure. The current $I$ in the circuit will be ............. $A$.

If $E_1 = 4 \ V$ and $E_2 = 12 \ V$,find the current in the circuit and the potential difference between the points $P$ and $Q$ respectively.

The current flowing through the $1 \Omega$ resistor is $\frac{n}{10} \ A$. The value of $n$ is. . . . . . .