Find the equivalent resistance across the terminals of e.m.f. source of $24 \mathrm{V}$ for the circuit shown in figure

A potential divider is used to give outputs of $4 \mathrm{V}$ and $8 \mathrm{V}$ from a $12 \mathrm{V}$ source. Which combination of resistances, $\left(R_1,R_2,R_3\right)$ gives the correct voltages? $R_1:R_2:R_3$

Find equivalent resistance between $A$ and $B$

A wire has resistance of $24 \mathrm{\Omega }$ is bent in the following shape. The effective resistance between $A$ and $B$ is

The figure below shows currents in a part of electric circuit. The current $i$ is

The figure here shows a portion of a circuit. What are the magnitude and direction of the current $i$ in the lower right hand wire?

A group of $N$ cells whose emf varies directly with the internal resistance as per the equation $E_N=1.5r_N$ are connected, as shown in the figure. The current $I$ in the circuit is

Two batteries of emf ${\epsilon }_1$ and ${\epsilon }_2\left({\epsilon }_2>{\epsilon }_1\right)$ and internal resistances $r_1$ and $r_2$, respectively are connected in parallel, as shown in the figure.