Determine the value of R in the figure such that the current flowing through it is zero.

Step-by-step solution

The given circuit is a Wheatstone bridge. The condition for zero current through the central resistor R is that the bridge must be balanced. Checking the ratio of resistances of the arms: 10 10 = 1 5 5 = 1 Since the ratios are equal, the Wheatstone bridge is balanced. In a balanced Wheatstone bridge, the potential difference across the central resistor is zero, so no current flows through it regardless of its resistance. Therefore, R can have any value.