Nodal Method of Circuit Analysis

The potential difference between points $A$ and $B$ as shown in the figure is $16 \mathrm{V}$. Then,

In the network of three cells, find the potential $V$ of their junction.

The potential difference $V_{\mathrm{A}}-V_{\mathrm{B}}$ for the circuit shown in figure is $-(22/x) \mathrm{V}$. Find the value of $x$.

For the circuit shown in the figure, determine the charge of the capacitor in steady state.

In the given circuit, if $I_1$ and $I_2$ be the current in resistances $R_1$ and $R_2$, respectively, then

The figure shows a circuit model for the transmission of an electrical signal, such as cable TV, to many subscribers. Each subscriber connects a load resistance $R_L$ between the transmission line and the ground. Assume the ground is at zero potential and has negligible resistance. The resistance of the transmission line between the connection points of different subscribers is modelled as the constant resistance $R_{\mathrm{T}}$. The equivalent resistance across the signal source is,

In the part of a circuit shown in figure, the potential difference $(V_{\mathrm{G}}-V_{\mathrm{H}})$ between points $\mathrm{G}$ and $\mathrm{H}$ will be

A resistor circuit is constructed such that $12$ resistors are arranged to form a cube as shown in figure. Each resistor has a resistance of $2\mathrm{\Omega }$. The potential difference of $30\mathrm{}\mathrm{V}$ is applied across two of the opposing points as shown.

The points having the same potential are
(i) $\mathrm{B},\mathrm{D},\mathrm{}\mathrm{E}$ (ii) $\mathrm{C},\mathrm{}\mathrm{F},\mathrm{}\mathrm{H}$ (iii) $\mathrm{C},\mathrm{}\mathrm{E}$