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​ = 4 Ω+−V1​8 VR2​6 ΩAab

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

V1 = 8 VR1 = 4 ΩR2 = 6 Ω
Vth = V
2.Easy
R1​ = 8 Ω+−V1​12 VR2​12 ΩAab

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

V1 = 12 VR1 = 8 ΩR2 = 12 Ω
Rth = Ω
3.Medium
R1​ = 4 ΩR3​ = 8 Ω+−V1​9 VR2​10 ΩAab

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

V1 = 9 VR1 = 4 ΩR2 = 10 ΩR3 = 8 Ω
IN = A
4.Medium
R1​ = 5 ΩR3​ = 5 Ω+−V1​24 VR2​3 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 = 24 VR1 = 5 ΩR2 = 3 ΩR3 = 5 ΩRL = 20 Ω
IL = A
5.Hard
R1​ = 8 ΩR3​ = 5 Ω+−V1​30 VR2​3 ΩAIs​0.5 ABRL​12 ΩIL​

A load RL = 12 Ω is connected across a–b. Use a Thévenin equivalent to find the power PL delivered to the load.

V1 = 30 VIs = 0.5 AR1 = 8 ΩR2 = 3 ΩR3 = 5 ΩRL = 12 Ω
PL = W
6.Hard
R1​ = 30 ΩR3​ = 15 Ω+−V1​12 VR2​10 ΩAIs​6 ABRL​6 ΩIL​

A load RL = 6 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 12 VIs = 6 AR1 = 30 ΩR2 = 10 ΩR3 = 15 ΩRL = 6 Ω
IL = A

Answer key

  1. 1. Vth = 4.8 V
  2. 2. Rth = 4.8 Ω
  3. 3. IN = 0.5921 A
  4. 4. IL = 0.3349 A
  5. 5. PL = 0.6874 W
  6. 6. IL = −4.632 A

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