The equivalent resistance of the following circuit when no current flows in the resistance of 5 is nearly

Step-by-step solution

A Wheatstone bridge with no current through the 5 resistor implies balance. The condition R_ AB R_ AD = R_ BC R_ DC holds since 10 20 = 15 30 = 1 2 . With the bridge balanced, the 5 resistor is removed. The circuit reduces to two parallel branches: 10 + 15 = 25 and 20 + 30 = 50 . The equivalent resistance is R_ eq = 25 50 25 + 50 = 1250 75 = 50 3 16.67 . This is nearest to 17 , so the answer is option B.