Thévenin & Norton worksheet with answers

Free printable Thévenin & Norton worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
R1​ = 2 Ω+−V1​6 VR2​2 ΩAab

Find the Norton current IN: the current that flows from a to b if the terminals are shorted.

V1 = 6 VR1 = 2 ΩR2 = 2 Ω
IN = A
2.Easy
R1​ = 12 Ω+−V1​15 VR2​5 ΩAab

Find the Thévenin resistance Rth seen from terminals a–b.

V1 = 15 VR1 = 12 ΩR2 = 5 Ω
Rth = Ω
3.Medium
R1​ = 5 ΩR3​ = 5 Ω+−V1​10 VR2​8 ΩARL​20 ΩIL​B

A load RL = 20 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 10 VR1 = 5 ΩR2 = 8 ΩR3 = 5 ΩRL = 20 Ω
IL = A
4.Medium
R1​ = 6 ΩR3​ = 12 Ω+−V1​24 VR2​2 ΩARL​3 ΩIL​B

A load RL = 3 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 24 VR1 = 6 ΩR2 = 2 ΩR3 = 12 ΩRL = 3 Ω
IL = A
5.Hard
R1​ = 15 ΩR3​ = 25 Ω+−V1​30 VR2​2 ΩAIs​6 ABab

Find the Thévenin voltage Vth seen from terminals a–b.

V1 = 30 VIs = 6 AR1 = 15 ΩR2 = 2 ΩR3 = 25 Ω
Vth = V
6.Hard
R1​ = 12 ΩR3​ = 20 Ω+−V1​10 VR2​20 ΩAIs​0.5 ABRL​12 ΩIL​

A load RL = 12 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 10 VIs = 0.5 AR1 = 12 ΩR2 = 20 ΩR3 = 20 ΩRL = 12 Ω
IL = A

Answer key

  1. 1. IN = 3 A
  2. 2. Rth = 3.529 Ω
  3. 3. IL = 0.2192 A
  4. 4. IL = 0.3636 A
  5. 5. Vth = 164.1 V
  6. 6. IL = 0.5063 A

Full step-by-step solutions: practise this topic on examproblems.com.