Topic explanation

Standard explanation

Multi-loop networks are solved by applying charge conservation at junctions and energy conservation around independent loops.

Key points

• Assign a current to every independent branch.
• Apply the junction rule: total current entering equals total current leaving.
• Choose independent loops and apply ΣΔV=0 to each.
• Use one consistent resistor and source sign convention.
• Solve the simultaneous equations for branch currents.
• A negative result means the actual current is opposite to the assumed arrow.
• Verify every junction and loop after solving.

Labelled diagram