Two cells are connected between points $A$ and $B$ as shown. Cell $1$ has emf of $12\,V$ and internal resistance of $3\,\Omega$. Cell $2$ has emf of $6\,V$ and internal resistance of $6\,\Omega$. An external resistor $R$ of $4\,\Omega$ is connected across $A$ and $B$. The current flowing through $R$ will be $.............A$.
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The resistance of a bulb filmanet is $100\,\Omega$ at a temperature of $100\,^o C$. If its temperature coefficient of resistance be $0.005$ per $^o C$, its resistance will become $200\,\Omega$ at a temperature of ................ $^oC$
Two resistances ${R_1}$ and ${R_2}$ are made of different materials. The temperature coefficient of the material of ${R_1}$ is $\alpha $ and of the material of ${R_2}$ is $ - \beta $. The resistance of the series combination of ${R_1}$ and ${R_2}$ will not change with temperature, if ${R_1}/{R_2}$ equals
A current of $3\,amp$ flows through the $2\,\Omega $ resistor shown in the circuit. The power dissipated in the $5\,\Omega $ resistor is ................. $watt$
.............. $A$ the current flowing through the resistance $R_2$ of the circuit shown in fig if the resistance are equal to $R_1 = 20\ \Omega, R_2 = 30 \ \Omega$ and $R_3 = 60 \ \Omega$ and potentials of points $1, 2$ and $3$ are equal to $V_1= 20\, V,$ $V_2 = 30\ V$ and $V_3 = 60\ V$
Water boils in an electric kettle in $15\,\min$ after switching on. If the length of the heating wire is decreased to $2/3$ of its initial value, then the same amount of water will boil with the same supply voltage in ............. $min$