In the given circuit,the value of $\left|\frac{I_1+I_3}{I_2}\right|$ is

In the circuit shown,the resistance $r$ is a variable resistance. If for $r = fR$,the heat generation in $r$ is maximum,then the value of $f$ is:

The reading of the ammeter $(A)$ in steady state in the following circuit (assuming negligible internal resistance of the ammeter) is . . . . . . $A$.

In the adjacent circuit,a voltmeter of internal resistance $R$,when connected across $B$ and $C$,reads $\frac{100}{3} \text{ V}$. Neglecting the internal resistance of the battery,the value of $R$ is:

The resistance between points $A$ and $B$ is

$A$ voltmeter connected across the terminals of a battery reads $5\,V$. When an ammeter is connected across the same terminals,it reads $10\,A$. If a resistor of $2\,\Omega$ is connected across the terminals of this battery,the current flowing through it will be ...........$A$.