Kirchhoff's Laws with Resistors

Which of the following rule may be used to obtain the values of the three unknown currents in the branches (shown) of the circuit given below?

Apply Kirchhoff’s rule to the loops $PRSP$ and $PRQP$ to find currents  $I_1,I_2$  and  $I_3$  in the network.

Apply Kirchhoff’s rules to the loops $ACBPA$ and $ACBQA$ to write the expressions for the currents  $I_1, I_2$  and  $I_3$  in the network.

State Kirchhoff’s rules. Use these rules to write the expressions for the currents  $I_1, I_2$ and $I_3$ in the circuit diagram shown.

Explain Kirchhoff's laws with examples.

A battery of internal resistance $4 \mathrm{\Omega }$ is connected to the network of resistances, as shown in the figure. In order that the maximum power can be delivered to the network, the value of $\mathrm{R}$ in $\mathrm{\Omega }$ should be

In the circuit shown in the figure. $\left(\mathrm{A}\right)$, $R_3$ is a variable resistance



As the value $R_3$ is changed, current $I$ though the cell varies as shown. Obviously, the variation is asymptotic, i.e. $I\mathrm{ }\to \mathrm{ }6 \mathrm{A}$ as $R_3\to \mathrm{\infty }$ . Ratio of resistances $R_1 \text{and} R_2$ will be: 

When a battery of emf $8 \mathrm{V}$ with internal resistance $0.5 \mathrm{\Omega }$ is charged by a $120\mathrm{ }\mathrm{V}\mathrm{ }\mathrm{DC}$ supply using a series resistance of $15.5 \mathrm{\Omega }$, the terminal voltage of the battery is $\frac{\mathrm{x}}{2} \mathrm{V}$, find $x$.

Consider the circuit shown in which the batteries are assumed to have negligible internal resistance.

Determine the total power supplied by the middle cell.
 

Consider the circuit shown in which the batteries are assumed to have negligible internal resistance.

Determine the potential difference between A and B.

Consider the circuit shown in which the batteries are assumed to have negligible internal resistance.

Calculate the magnitude of the current through the middle cell.

Consider the circuit shown in which the batteries are assumed to have negligible internal resistance.

Calculate the magnitude of the current through the left cell.

Kirchhoff$\text{'}$s loop law follows from the conservative nature of _____ field.

State whether the given statement is true or false.

Kirchhoff$\text{'}$s junction law follows from conservation of charge.

Calculate ${\mathrm{V}}_{\mathrm{AB}}$.

A battery of $10 \mathrm{V}$ and negligible internal resistance is connected across the diagonally opposite corners of a cubical network consisting of $12$ resistors each of $1 \mathrm{\Omega }$ resistance. Use Kirchhoff$\text{'}$s rule to determine the total current in the network.

For the given figure, identify the relation between currents according to $\mathrm{KCL}$$:$

In the above circuit the current in each resistance is:

The reading of ideal ammeter in the circuit is