Kirchoff’s Law

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.

A current of $15 \mathrm{mA}$ flows in the circuit as shown in figure. The value of potential difference between the points $A$ and $B$ will be

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: 

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.

In the circuit shown, what is the approximate current passing through the resistor $R_3$ ?

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


 

In the circuit shown, the reading of the Ammeter is doubled after the switch is closed. Each resistor has a resistance $=1 \mathrm{\Omega }$ and the ideal cell has e.m.f. $=10 \mathrm{V}.$ Then the ammeter has a resistance (in $\Omega$) equal to

As the switch $S$ is closed in the circuit, the current passed through it is (in $\mathrm{A}$)

Four resistances $40\mathrm{\Omega }, 60\mathrm{\Omega }, 90\mathrm{\Omega }$ and $110\mathrm{\Omega }$ make the arms of a quadrilateral $ABCD.$ Across $AC$ is a battery of emf $40 V$ and internal resistance negligible. The potential difference across $BD$ in $V$ is __________ .

In the circuit shown in the figure, reading of voltmeter is $V_1$ when $S_1$ is closed, reading of voltmeter is $V_2$ when only $S_2$ is closed and reading of voltmeter is $V_3$ when both $S_1$ and $S_2$ are closed. Then -