$A$ current of $6\, A$ enters at corner $P$ of an equilateral triangle $PQR$ having $3$ wires of resistance $2 \,\Omega$ each and leaves by the corner $R$. The current $i_{1}$ in ampere is ........ .

$50\,\Omega$ and $100\,\Omega$ resistors are connected in series. This combination is connected to a battery of $2.4\,V$. When a voltmeter of $100\,\Omega$ resistance is connected across the $100\,\Omega$ resistor,the reading of the voltmeter will be ............. $V$.

In an experiment, a graph was plotted of the potential difference $V$ between the terminals of a cell against the circuit current $i$ by varying the load rheostat. The internal conductance of the cell is given by:

In the circuit shown, the heat produced in $5 \Omega$ resistance due to current $I_2$ is $50 \text{ J/s}$. Then, the heat generated per second in $2 \Omega$ resistance is (in $\text{ J/s}$)

In the given circuit,if $E_1 = 4\,V$,$R_1 = 2\,\Omega$,$E_2 = 6\,V$,$R_2 = 2\,\Omega$,and $R_3 = 4\,\Omega$,what is the value of current $i_1$ in $A$?

Two batteries of e.m.f $4 \text{ V}$ and $8 \text{ V}$ with internal resistance $1 \Omega$ and $2 \Omega$ respectively are connected in a circuit with a resistance of $9 \Omega$ as shown in the figure. The current and potential difference between the points $P$ and $Q$ is