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A $d.c.$ main supply of $e.m.f.\, 220\, V$ is connected across a storage battery of $e.m.f.\, 200\, V$ through a resistance of $1\,\Omega $. The battery terminals are connected to an external resistance $'R'$ . The minimum value of $'R'$, so that a current passes through the battery to charge it is ............... $\Omega$
Consider a thin square sheet of side $\mathrm{L}$ and thickness $\mathrm{t}$, made of a material of resistivity $\rho$. The resistance between two opposite faces, shown by the shaded areas in the figure is
If resistance of the filament increases with temperature, what will be power dissipated in a $220\, V- 100\, W$ lamp when connected to $110\, V$ power supply
One end of a Nichrome wire of length $2\,L$ and cross-sectional area $A$ is attatched to an end of another Nichrome wire of length $L$ and cross-sectional area $2\,A$. If the free end of the longer wire is at an electric potential of $8.0$ $\mathrm{volts}$, and the free end of the shorter wire is at an electric potential of $1.0$ $\mathrm{volt}$, the potential at the junction of the two wires is equal to ............. $V$