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​ = 8 Ω+−V1​10 VR2​10 ΩAab

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

V1 = 10 VR1 = 8 ΩR2 = 10 Ω
Vth = V
2.Easy
R1​ = 2 Ω+−V1​15 VR2​6 ΩAab

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

V1 = 15 VR1 = 2 ΩR2 = 6 Ω
Rth = Ω
3.Medium
R1​ = 5 ΩR3​ = 6 Ω+−V1​9 VR2​2 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 = 9 VR1 = 5 ΩR2 = 2 ΩR3 = 6 ΩRL = 20 Ω
IL = A
4.Medium
R1​ = 20 ΩR3​ = 15 Ω+−V1​10 VR2​4 ΩAab

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

V1 = 10 VR1 = 20 ΩR2 = 4 ΩR3 = 15 Ω
IN = A
5.Hard
R1​ = 6 ΩR3​ = 5 Ω+−V1​10 VR2​25 ΩAIs​6 ABRL​25 ΩIL​

A load RL = 25 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 = 6 AR1 = 6 ΩR2 = 25 ΩR3 = 5 ΩRL = 25 Ω
IL = A
6.Hard
R1​ = 30 ΩR3​ = 30 Ω+−V1​18 VR2​30 ΩAIs​2 ABRL​2 ΩIL​

A load RL = 2 Ω is connected across a–b. Replace the rest of the circuit with its Thévenin equivalent and find the load current IL.

V1 = 18 VIs = 2 AR1 = 30 ΩR2 = 30 ΩR3 = 30 ΩRL = 2 Ω
IL = A

Answer key

  1. 1. Vth = 5.556 V
  2. 2. Rth = 1.5 Ω
  3. 3. IL = 0.09375 A
  4. 4. IN = 0.09091 A
  5. 5. IL = 1.926 A
  6. 6. IL = 2.106 A

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