A battery having $e.m.f.$ $5\,\,V$ and internal resistance $0.5$ $\Omega$ is connected with a resistance of $4.5 \,\Omega$ then the voltage at the terminals of battery is ............. $V$
$V = E - ir = 5 - 1 \times 0.5 = 4.5\,{\rm{Volt}}$
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A $10\, V$ storage battery of negligible internal resistance is connected across a $50\,\Omega $ resistor. How much heat energy is produced in the resistor in $1$ hour ............... $J$
A battery has $e.m.f.$ $4\, V$ and internal resistance $r$. When this battery is connected to an external resistance of $2\, ohms$, a current of $1\, amp$. flows in the circuit. How much current will flow if the terminals of the battery are connected directly .......... $amp$
A uniform wire of length $l$ and radius $r$ has a resistance of $100\, \Omega $. It is recast into a wire of radius $\frac{r}{2}$. The resistance of new wire will be ............... $\Omega$
The circuit diagram shown consists of a large number of element (each element has two resistors $R_1$ and $R_2$). The resistance of the resistors in each subsequent element differs by $a$ factor of $K = 1/2$ from the resistance of the resistors in the previous elements. The equivalent reistance between $A$ and $B$ shown in figure is :