In the given circuit,if the value of each resistor is $10\, \Omega$,then the current flowing through $AD$ will be:

In the circuit,$R_{1} = R_{2} = R$. The value of $E$ and $R_{1}$ are $\ldots \ldots \ldots$ ($E$ = $EMF$,$R_{1}$ = resistance).

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

Two resistances of $400 \Omega$ and $800 \Omega$ are connected in series with a $6 \text{ V}$ battery of negligible internal resistance. $A$ voltmeter of resistance $10000 \Omega$ is used to measure the potential difference across the $400 \Omega$ resistor. The error in the measurement of potential difference in volts is approximately:

Six resistors of $3 \; \Omega$ each are connected along the sides of a hexagon and three resistors of $6 \; \Omega$ each are connected along $AC$, $AD$, and $AE$ as shown in the figure. The equivalent resistance between $A$ and $B$ is equal to

In the given circuit,the current passing through the $12\, \Omega$ resistor is............ $A$.