If equivalent resistance between points A and B is \(\frac{X}{5}\) (in \(\Omega\)), then find value of X:
For the given circuit, if R = 12\(\Omega\), balancing length is 180 cm. When value of R is 4 \(\Omega\), then balancing length is 120 cm. Find internal resistance of cell E.
A circular ring and two wires $AC$ and $BC$ are joined as shown in the figure. If all wires have resistance $\lambda\Omega$/m, find the equivalent resistance across $A$ and $B$:
Figure shows two combinations of real cells with 6 \(\Omega\) internal resistance. If reading of ammeters are same in both cases, find the value of 'r'.