$A$ uniform metallic wire having resistance $4 \ \Omega$ is bent to form a square loop $(ABCD)$ (see figure). $A$ resistance of $2 \ \Omega$ is connected between points $B$ and $D$ and a battery of $2 \ V$ is connected across points $A$ and $C$ as shown in the figure. Now the value of current $(I)$ is: (in $A$)

In the given circuit,find $V_a - V_b$.

The battery in the diagram is to be charged by the generator $G$. The generator has a terminal voltage of $120 \ V$ when the charging current is $10 \ A$. The battery has an $emf$ of $100 \ V$ and an internal resistance of $1 \ \Omega$. In order to charge the battery at $10 \ A$ charging current,the resistance $R$ should be set at ................ $\Omega$.

One end of a Nichrome wire of length $2L$ and cross-sectional area $A$ is attached to an end of another Nichrome wire of length $L$ and cross-sectional area $2A$. If the free end of the longer wire is at an electric potential of $8.0\,V$,and the free end of the shorter wire is at an electric potential of $1.0\,V$,the potential at the junction of the two wires is equal to ............. $V$.

$A$ $DC$ supply of $160 \ V$ is used to charge a battery of $EMF$ $10 \ V$ and internal resistance $1 \ \Omega$ by connecting a series resistance of $24 \ \Omega$. The terminal voltage of the battery during charging is (in $V$)

The power of an electric motor is $242 \ W$ when connected to a $220 \ V$ supply. When the motor is operated at $200 \ V$,the current drawn by it is (in $A$)