Calculate the resistance

Steps to Solve

1. Identify the connections and components
   Examine the circuit to identify all resistors, current sources, and voltage sources between points A and B. Note the resistor values: (2 \Omega), (1 \Omega), (4 \Omega), (2 \Omega), and (6 \Omega).

2. Simplify the circuit
   Start simplifying the circuit by identifying resistors in series and parallel.
   The (4 \Omega) and (2 \Omega) resistors are in series: $$ R_{s1} = 4 \Omega + 2 \Omega = 6 \Omega $$

3. Combine similar resistors
   The (6 \Omega) from the previous step and (6 \Omega) are in parallel: $$ \frac{1}{R_{p1}} = \frac{1}{6 \Omega} + \frac{1}{6 \Omega} $$ Calculating gives: $$ R_{p1} = 3 \Omega $$

4. Continue simplifying
   Now, combine this (3 \Omega) with the (1 \Omega) resistor in series: $$ R_{s2} = 3 \Omega + 1 \Omega = 4 \Omega $$

5. Combine the final resistors
   Now combine the (4 \Omega) (from the previous series connection) with the original (2 \Omega) from (A): $$ R_{total} = 2 \Omega + 4 \Omega = 6 \Omega $$