In the given circuit,the total power loss is $10 \text{ W}$. Find the value of resistance $R$ in $\Omega$.

In the circuit shown in the figure, the ammeter and voltmeter are ideal. What would be the reading of the voltmeter in $volt$?

The potential difference between $A$ and $B$ in the figure is ................... $V$.

An infinite line charge of uniform electric charge density $\lambda$ lies along the axis of an electrically conducting infinite cylindrical shell of radius $R$. At time $t=0$,the space inside the cylinder is filled with a material of permittivity $\varepsilon$ and electrical conductivity $\sigma$. The electrical conduction in the material follows Ohm's law. Which one of the following graphs best describes the subsequent variation of the magnitude of current density $j(t)$ at any point in the material?

An external resistance $R$ is connected to a battery of $e.m.f.$ $V$ and internal resistance $r$. The joule heat produced in resistor $R$ is maximum when $R$ is equal to

If power dissipated in the $9 \,\Omega$ resistor in the circuit shown is $36 \,W$,the potential difference across the $2 \,\Omega$ resistor is .......... $V$