Four resistances of $15\, \Omega, 12\, \Omega, 4\, \Omega$ and $10\, \Omega$ are connected in cyclic order to form a Wheatstone bridge network. The resistance that is to be connected in parallel with the resistance of $10\, \Omega$ to balance the network is ................. $\Omega$.

In the given electrical circuit,which one of the following equations is correct?

In the circuit shown in the figure,when no current flows through the $5\,\Omega$ resistor,the value of the resistor $X$ will be ........... $\Omega$.

Consider the following two statements.
$(A)$ Kirchhoff's junction law follows from the conservation of charge.
$(B)$ Kirchhoff's loop law follows from the conservation of energy.
Which of the following is correct?

The Wheatstone bridge shown in the figure gets balanced when the carbon resistor used as $R_1$ has the colour code (Orange,Red,Brown). The resistors $R_2$ and $R_4$ are $80 \, \Omega$ and $40 \, \Omega$,respectively. Assuming that the colour code for the carbon resistors gives their accurate values,the colour code for the carbon resistor used as $R_3$ would be

In the following network, $I_1 = -0.4 \text{ A}, I_4 = 1 \text{ A}, I_5 = 0.4 \text{ A}$. The values of $I_2, I_3$ and $I_6$ are respectively