A coil develops heat of $800\, cal/sec$. When $20\, volts$ is applied across its ends. The resistance of the coil is .............. $\Omega$ ($1$ $cal$ = $4.2$ $joule$)
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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 ............. $V$
Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in temperature. If at room temperature, $100 \mathrm{~W}, 60 \mathrm{~W}$ and $40 \mathrm{~W}$ bulbs have filament resistances $\mathrm{R}_{100}, \mathrm{R}_{60}$ and $\mathrm{R}_{40}$, respectively, the relation between these resistances is
In the following circuit composed of identical resistors, across which terminals would you connect a battery in order to dissipate energy in all resistors
A cell $E _{1}$ of $emf 6 V$ and internal resistance $2 \Omega$ is connected with another cell $E _{2}$ of $emf 4 V$ and internal resistance $8 \Omega$ (as shown in the figure). The potential difference across points $X$ and $Y$ is............ $V$