In the following circuit, the potential difference between $P$ and $Q$ is,

Consider the circuit shown in the figure. The current through the $6 \mathrm{\Omega }$ resistor is $4 \mathrm{A}$ in the direction shown. What are the currents through the $25 \mathrm{\Omega }$ and $20 \mathrm{\Omega }$ resistors?

In the circuit shown in figure, the voltage across the $2 \mathrm{\Omega }$ resistor is $12 \mathrm{V}$. What is the emf of the battery and the current through the $6 \mathrm{\Omega }$ resistors?

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

Consider the circuit shown in figure. The current equal to

In the circuit shown in figure.

(a) Find the current in the $3 \mathrm{\Omega }$ resistor

(b) Find the unknown emfs ${\epsilon }_1$ and ${\epsilon }_2$

(c) find the resistance $R$

In the circuit shown in figure,

(a) Find the current in each branch

(b) Find the potential difference $V_{\mathrm{ab}}$ of point a relative to point $b$

In the circuit shown in the figure, calculate the following:

(a) Potential difference between points $a$ and $b$ when switch $S$ is open.

(b) Current through $S$ in the circuit when $S$ is closed.

In this circuit, if ${\epsilon }_1=6 \mathrm{V}, {\epsilon }_2=3 \mathrm{V}, R_1=2 \mathrm{\Omega }$ and $R_2=R_3=3 \mathrm{\Omega }$, find the current through each cell and resistors.