A $3\, volt$ battery with negligible internal resistance is connected in a circuit as shown in the figure. The current $I$, in the circuit will be ............. $A$
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A $10\, m$ long wire of $20\,\Omega$ resistance is connected with a battery of $3\, volt$ $e.m.f.$ (negligible internal resistance) and a $10 \,\Omega$ resistance is joined to it is series. Potential gradient along wire in volt per meter is
If power dissipated in the $9 \,\Omega$ resistor in the circuit shown is $36\,W$, the potential difference across the $2 \,\Omega$ resistor is .......... $V$
A uniform metallic wire of length $L$ is mounted in two configurations. In configuration $1$ (triangle), it is an equilateral triangle and a voltage $V$ is applied to corners $A$ and $B$. In configuration $2$ (circle), it is bent in the form of a circle and the potential $V$ is applied at diametrically opposite points $P$ and $Q$. The ratio of the power dissipated in configuration $1$ to configuration $2$ is