If the potential difference between points B and D is zero in the given circuit, the value of x is 1 n . The value n is

Step-by-step solution

The given circuit is a Wheatstone bridge. Since the potential difference between points B and D is zero, the bridge is balanced. Let the nodes be A (left), B (top), C (right), and D (bottom). The equivalent resistance of the arm AB is: R_ AB = 6 3 6 + 3 = 18 9 = 2 The equivalent resistance of the arm AD is: R_ AD = 1 + 2 = 3 The equivalent resistance of the arm BC is: R_ BC = x 1 x + 1 = x x + 1 The equivalent resistance of the arm DC is: R_ DC = x For a balanced Wheatstone bridge, the condition is: R_ AB R_ AD = R