Step 1: Analyze the circuit.
Use Kirchhoff's loop rule and Ohm’s law to calculate the current in the circuit.
Step 2: Calculate the current.
After solving the circuit using the given values for resistances and voltages, the current in the circuit is \( 1 \, \text{A} \) from \( a \) to \( b \) through \( e \).
Final Answer:
\[
\boxed{1 \, \text{A}}
\]