The internal resistances of two cells shown are $0.1\,\Omega$ and $0.3\,\Omega$. If $R = 0.2\,\Omega$,the potential difference across the cell

Five conductors meet at a point $x$ as shown in the figure. What is the current flowing through the fifth conductor?

For the circuit shown below,write the equations for the three loops by using Kirchhoff's loop rule.

The current through the $1 \Omega$ resistance in the following circuit is (in $A$)

Consider the following circuit shown below. All the resistors are identical. The ratio of $I / I^{\prime}$ is

$A$ Wheatstone's bridge is balanced with a resistance of $625\, \Omega$ in the third arm,where $P, Q$ and $S$ are in the $1^{st}, 2^{nd}$ and $4^{th}$ arm respectively. If $P$ and $Q$ are interchanged,the resistance in the third arm has to be increased by $51\,\Omega$ to secure balance. The unknown resistance in the fourth arm is ............. $\Omega$.