The equivalent resistance of the following circuit is nearly

Step-by-step solution

The given circuit is a Wheatstone bridge. Let us check the balance condition of the bridge: R_ AB R_ AD = 5 10 = 1 2 R_ BC R_ DC = 15 30 = 1 2 Since R_ AB R_ AD = R_ BC R_ DC , the Wheatstone bridge is balanced. Therefore, no current flows through the 4 resistor in the branch BD , and it can be removed from the circuit. The circuit now consists of two parallel branches: Upper branch resistance, R_ upper = 5 + 15 = 20 Lower branch resistance, R_ lower = 10 + 30 = 40 The equivalent resistance R_ eq of the circuit is