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A potentiometer has uniform potential gradient. The specific resistance of the material of the potentiometer wire is $10^{-7} \, ohm-meter$ and the current passing through it is $0.1\, ampere$; cross-section of the wire is $10^{-6}\, m^2$. The potential gradient along the potentiometer wire is
$10$ wires (same length, same area, same material) are connected in parallel and each has $1$ $\Omega$ resistance, then the equivalent resistance will be .............. $\Omega$
Consider the ladder network shown in figure. What should be the value of resistance $R$, so that effective resistance between $A$ and $B$ becomes independent of number of elements in the combination is ............. $\Omega$
Two cells of $emfs$ $E_1$ and $E_2$ and internal resistances $r_1$ and $r_2$ are connected in parallel. The $emf$ and internal resistance of the equivalent source is
In the circuit shown in figure, the power which is dissipated as heat in the $6\,\Omega$ resistor is $6\,W$. What is the value of resistance $R$ in the circuit?................... $\Omega$