Advanced Problems

1. A three-loop circuit has resistors R1 = 5 Ω, R2 = 10 Ω, R3 = 5 Ω, R4 = 2 Ω and batteries 12 V, 6 V, 9 V. Solve for all branch currents using KCL and KVL.
2. A combination circuit has two parallel branches, each containing series resistors. Calculate total resistance and current distribution for a 24 V battery.
3. Design a complex two-loop circuit with given resistances and battery voltages. Determine all currents, voltage drops, and power dissipated in each resistor.
4. A network of series-parallel resistors has unknown resistances. Given total current and voltage, determine the individual resistor values.
5. Challenge problem: Four-loop circuit with 7 resistors and 3 batteries. Set up and solve the KVL and KCL equations systematically to find all currents.