A torch battery consisting of two cells of $1.45\, volts$ and an internal resistance $0.15\,\Omega $, each cell sending currents through the filament of the lamps having resistance $1.5\,ohms$. The value of current will be ....... $A$
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A current of $10\, A$ exists in a wire of crosssectional area of $5\, mm ^{2}$ with a drift velocity of $2 \times 10^{-3}\, ms ^{-1}$. The number of free electrons in each cubic meter of the wire is ..........
The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of $2 \,\Omega$. The value of internal resistance of each cell is ............ $\Omega$
A potentiometer consists of two wires $AC$ and $CB$ of same material and of equal lengths but diameters in the ratio $3 : 1.$ Then the potential gradients on the two wires will be in the ratio :-
A uniform metallic wire has a resistance of $18\,\Omega $ and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is .................. $\Omega$
Three resistances of one ohm each are connected in parallel. Such connection is again connected with $\frac{2}{3}\,\Omega $ resistor in series. The resultant resistance will be ........... $\Omega$