In the circuit shown,the cells $A$ and $B$ have negligible resistance. For $V_{A} = 12 \; V$,$R_{1} = 500 \; \Omega$ and $R = 100 \; \Omega$,the galvanometer $(G)$ shows no deflection. The value of $V_{B}$ is .... $V$.

$A$ current of $2\,A$ flows through a $2\,\Omega$ resistor when connected across a battery. The same battery supplies a current of $0.5\,A$ when connected across a $9\,\Omega$ resistor. The internal resistance of the battery is:

Find the potential difference between $a$ and $b$,as shown in the below circuit. (in $V$)

Two electric resistors have equal values of resistance $R$. Each can be operated with a power of $320 \ W$ at $220 \ V$. If the two resistors are connected in series to a $110 \ V$ electric supply,then the power generated in each resistor is (in $W$)

What is the reading of the voltmeter in the following figure (in $V$)?

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